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href="https://bg.wikipedia.org/wiki/%D0%A5%D0%BE%D1%80%D0%B8%D0%B7%D0%BE%D0%BD%D1%82%D0%B0%D0%BB" title="Хоризонтал — búlgaro" lang="bg" hreflang="bg" data-title="Хоризонтал" data-language-autonym="Български" data-language-local-name="búlgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Corba_de_nivell" title="Corba de nivell — catalão" lang="ca" hreflang="ca" data-title="Corba de nivell" data-language-autonym="Català" data-language-local-name="catalão" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Vrstevnice" title="Vrstevnice — checo" lang="cs" hreflang="cs" data-title="Vrstevnice" data-language-autonym="Čeština" data-language-local-name="checo" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/H%C3%B8jdekurve" title="Højdekurve — dinamarquês" lang="da" hreflang="da" data-title="Højdekurve" data-language-autonym="Dansk" data-language-local-name="dinamarquês" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/H%C3%B6henlinie" title="Höhenlinie — alemão" lang="de" hreflang="de" data-title="Höhenlinie" data-language-autonym="Deutsch" data-language-local-name="alemão" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en badge-Q70893996 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Isarithm" title="Isarithm — inglês" lang="en" hreflang="en" data-title="Isarithm" data-language-autonym="English" data-language-local-name="inglês" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nivellinio" title="Nivellinio — esperanto" lang="eo" hreflang="eo" data-title="Nivellinio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Curva_de_nivel" title="Curva de nivel — espanhol" lang="es" hreflang="es" data-title="Curva de nivel" data-language-autonym="Español" data-language-local-name="espanhol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Samak%C3%B5rgusjoon" title="Samakõrgusjoon — estónio" lang="et" hreflang="et" data-title="Samakõrgusjoon" data-language-autonym="Eesti" data-language-local-name="estónio" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Sestra-kurba" title="Sestra-kurba — basco" lang="eu" hreflang="eu" data-title="Sestra-kurba" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%86%D8%AD%D9%86%DB%8C_%D9%85%DB%8C%D8%B2%D8%A7%D9%86" title="منحنی میزان — persa" lang="fa" hreflang="fa" data-title="منحنی میزان" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Isoviiva" title="Isoviiva — finlandês" lang="fi" hreflang="fi" data-title="Isoviiva" data-language-autonym="Suomi" data-language-local-name="finlandês" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Courbe_de_niveau" title="Courbe de niveau — francês" lang="fr" hreflang="fr" data-title="Courbe de niveau" data-language-autonym="Français" data-language-local-name="francês" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%95_%D7%92%D7%95%D7%91%D7%94" title="קו גובה — hebraico" lang="he" hreflang="he" data-title="קו גובה" data-language-autonym="עברית" data-language-local-name="hebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Izohipse" title="Izohipse — croata" lang="hr" hreflang="hr" data-title="Izohipse" data-language-autonym="Hrvatski" data-language-local-name="croata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Koub_nivo" title="Koub nivo — haitiano" lang="ht" hreflang="ht" data-title="Koub nivo" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiano" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Szintvonal" title="Szintvonal — húngaro" lang="hu" hreflang="hu" data-title="Szintvonal" data-language-autonym="Magyar" data-language-local-name="húngaro" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%B8%D6%80%D5%AB%D5%A6%D5%B8%D5%B6%D5%A1%D5%AF%D5%A1%D5%B6%D5%B6%D5%A5%D6%80" title="Հորիզոնականներ — arménio" lang="hy" hreflang="hy" data-title="Հորիզոնականներ" data-language-autonym="Հայերեն" data-language-local-name="arménio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Curva_di_livello" title="Curva di livello — italiano" lang="it" hreflang="it" data-title="Curva di livello" data-language-autonym="Italiano" data-language-local-name="italiano" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%AD%89%E9%AB%98%E7%B7%9A" title="等高線 — japonês" lang="ja" hreflang="ja" data-title="等高線" data-language-autonym="日本語" data-language-local-name="japonês" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%93%D0%BE%D1%80%D0%B8%D0%B7%D0%BE%D0%BD%D1%82%D0%B0%D0%BB%D0%B4%D0%B0%D1%80" title="Горизонталдар — cazaque" lang="kk" hreflang="kk" data-title="Горизонталдар" data-language-autonym="Қазақша" data-language-local-name="cazaque" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%93%B1%EA%B3%A0%EC%84%A0" title="등고선 — coreano" lang="ko" hreflang="ko" data-title="등고선" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Niveauskurv" title="Niveauskurv — luxemburguês" lang="lb" hreflang="lb" data-title="Niveauskurv" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxemburguês" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Izohips%C4%97" title="Izohipsė — lituano" lang="lt" hreflang="lt" data-title="Izohipsė" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Isohypse" title="Isohypse — neerlandês" lang="nl" hreflang="nl" data-title="Isohypse" data-language-autonym="Nederlands" data-language-local-name="neerlandês" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kote" title="Kote — norueguês nynorsk" lang="nn" hreflang="nn" data-title="Kote" data-language-autonym="Norsk nynorsk" data-language-local-name="norueguês nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/H%C3%B8ydekurve" title="Høydekurve — norueguês bokmål" lang="nb" hreflang="nb" data-title="Høydekurve" data-language-autonym="Norsk bokmål" data-language-local-name="norueguês bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Warstwica" title="Warstwica — polaco" lang="pl" hreflang="pl" data-title="Warstwica" data-language-autonym="Polski" data-language-local-name="polaco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%98%D0%B7%D0%BE%D0%B3%D0%B8%D0%BF%D1%81%D0%B0" title="Изогипса — russo" lang="ru" hreflang="ru" data-title="Изогипса" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Izohipsa" title="Izohipsa — servo-croata" lang="sh" hreflang="sh" data-title="Izohipsa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="servo-croata" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Vrstevnica" title="Vrstevnica — eslovaco" lang="sk" hreflang="sk" data-title="Vrstevnica" data-language-autonym="Slovenčina" data-language-local-name="eslovaco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Izohipsi" title="Izohipsi — albanês" lang="sq" hreflang="sq" data-title="Izohipsi" data-language-autonym="Shqip" data-language-local-name="albanês" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%98%D0%B7%D0%BE%D1%85%D0%B8%D0%BF%D1%81%D0%B0" title="Изохипса — sérvio" lang="sr" hreflang="sr" data-title="Изохипса" data-language-autonym="Српски / srpski" data-language-local-name="sérvio" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/H%C3%B6jdkurva" title="Höjdkurva — sueco" lang="sv" hreflang="sv" data-title="Höjdkurva" data-language-autonym="Svenska" data-language-local-name="sueco" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/E%C5%9F_y%C3%BCkselti_e%C4%9Frisi" title="Eş yükselti eğrisi — turco" lang="tr" hreflang="tr" data-title="Eş yükselti eğrisi" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D0%BE%D1%80%D0%B8%D0%B7%D0%BE%D0%BD%D1%82%D0%B0%D0%BB%D1%8C" title="Горизонталь — ucraniano" lang="uk" hreflang="uk" data-title="Горизонталь" data-language-autonym="Українська" data-language-local-name="ucraniano" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Gorizontallar" title="Gorizontallar — usbeque" lang="uz" hreflang="uz" data-title="Gorizontallar" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbeque" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q193311#sitelinks-wikipedia" title="Editar hiperligações interlínguas" class="wbc-editpage">Editar hiperligações</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaços nominais"> <div 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.tmbox.mbox-small{clear:right;float:right;margin:4px 0 4px 1em;width:238px}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .tmbox{background-color:#2e2505}html.skin-theme-clientpref-night .mw-parser-output .tmbox-speedy{background-color:#310402}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .tmbox{background-color:#2e2505}html.skin-theme-clientpref-os .mw-parser-output .tmbox-speedy{background-color:#310402}}body.skin--responsive .mw-parser-output table.tmbox img{max-width:none!important}</style><table class="box-Mais_notas plainlinks metadata ambox ambox-content ambox-Refimprove" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><a href="/wiki/Ficheiro:Question_book-new.svg" class="mw-file-description"><img alt="Esta página cita fontes, mas não cobrem todo o conteúdo" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">Esta página <a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Cite_as_fontes" title="Wikipédia:Livro de estilo/Cite as fontes">cita fontes</a>, mas que <b><a href="/wiki/Wikip%C3%A9dia:V" class="mw-redirect" title="Wikipédia:V">não cobrem</a> todo o conteúdo</b>.<span class="hide-when-compact"> Ajude a <a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Refer%C3%AAncias_e_notas_de_rodap%C3%A9" title="Wikipédia:Livro de estilo/Referências e notas de rodapé">inserir referências</a> (<small><i>Encontre fontes:</i> <span class="plainlinks"><a rel="nofollow" class="external text" href="https://wikipedialibrary.wmflabs.org/">ABW</a>  •  <a rel="nofollow" class="external text" href="https://www.periodicos.capes.gov.br">CAPES</a>  •  <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&as_epq=Curva+de+n%C3%ADvel">Google</a> (<a rel="nofollow" class="external text" href="https://www.google.com/search?hl=pt&tbm=nws&q=Curva+de+n%C3%ADvel&oq=Curva+de+n%C3%ADvel">N</a> • <a rel="nofollow" class="external text" href="http://books.google.com/books?&as_brr=0&as_epq=Curva+de+n%C3%ADvel">L</a> • <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?hl=pt&q=Curva+de+n%C3%ADvel">A</a>)</span></small>).</span> <small class="date-container"><i>(<span class="date">Junho de 2016</span>)</i></small></div></td></tr></tbody></table> <div class="hatnote"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/20px-Disambig_grey.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/30px-Disambig_grey.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/40px-Disambig_grey.svg.png 2x" data-file-width="260" data-file-height="200" /></span></span> <b>Nota:</b> Se procura o sistema de cultivo, veja <a href="/wiki/Curva_de_n%C3%ADvel_(agricultura)" class="mw-redirect" title="Curva de nível (agricultura)">Curva de nível (agricultura)</a>.</div> <figure typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Topographic_map_example.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Topographic_map_example.png/300px-Topographic_map_example.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Topographic_map_example.png/450px-Topographic_map_example.png 1.5x, //upload.wikimedia.org/wikipedia/commons/7/79/Topographic_map_example.png 2x" data-file-width="600" data-file-height="600" /></a><figcaption>Exemplo de <a href="/wiki/Mapa_topogr%C3%A1fico" class="mw-redirect" title="Mapa topográfico">mapa topográfico</a> com curvas de nível a representar o relevo.</figcaption></figure> <p>Numa planta <a href="/wiki/Topografia" title="Topografia">topográfica</a>, uma <b>curva de nível</b> caracteriza-se como uma <a href="/wiki/Linha" class="mw-disambig" title="Linha">linha</a> imaginária que une todos os <a href="/wiki/Ponto" class="mw-disambig" title="Ponto">pontos</a> de igual <a href="/wiki/Altitude" title="Altitude">altitude</a> de uma região representada. É chamada de "curva" pois normalmente a linha que resulta do estudo das altitudes de um terreno são em geral manifestadas por curvas. </p><p>São associadas a valores de altitude em metros (m). </p><p>Portanto, a curva de nível serve para identificar e unir todos os pontos de igual altitude de um certo lugar. </p><p>Esta pode ser interpretada como um legume, se cortarmos em camadas, depois gradualmente desenharmos cada "camada" em uma folha de papel, poderemos interpretar o desenho como uma planta de altitudes de um lugar. Se repetirmos o acto várias vezes no mesmo papel poderemos unir os pontos de iguais altitudes formando uma curva de nível. </p><p>As curvas de nível indicam uma distância vertical acima, ou abaixo, de um plano de referência de nível. Começando no nível médio dos mares, que é a curva de nível zero, cada curva de nível tem um determinado valor. A distância vertical entre as curvas de nível é conhecida como <a href="/w/index.php?title=Equidist%C3%A2ncia&action=edit&redlink=1" class="new" title="Equidistância (página não existe)">equidistância</a>, cujo valor é encontrado nas informações marginais da <a href="/wiki/Carta_topogr%C3%A1fica" title="Carta topográfica">carta topográfica</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Definição_matemática"><span id="Defini.C3.A7.C3.A3o_matem.C3.A1tica"></span>Definição matemática</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Curva_de_n%C3%ADvel&veaction=edit&section=1" title="Editar secção: Definição matemática" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Curva_de_n%C3%ADvel&action=edit&section=1" title="Editar código-fonte da secção: Definição matemática"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematicamente, dada uma função de duas variáveis <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f:D\subseteq \mathbb {R} ^{2}\longrightarrow \mathbb {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>:</mo> <mi>D</mi> <mo>⊆</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">⟶</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f:D\subseteq \mathbb {R} ^{2}\longrightarrow \mathbb {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/331308ab19ffeed48a3413e711ff4b76f5cde687" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.745ex; height:3.009ex;" alt="{\displaystyle f:D\subseteq \mathbb {R} ^{2}\longrightarrow \mathbb {R} }"></span>, que faça corresponder a cada par ordenado <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x,y)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x,y)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41cf50e4a314ca8e2c30964baa8d26e5be7a9386" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.328ex; height:2.843ex;" alt="{\displaystyle (x,y)}"></span> o valor real <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x,y)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x,y)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29473ed0c4e838ac9dbe074535e507166c0e9101" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.607ex; height:2.843ex;" alt="{\displaystyle f(x,y)}"></span>, de contra-domínio <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle D'_{f}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>D</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> <mo>′</mo> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle D'_{f}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47db12452476bd3f5ae6f77abc55a510d304cef9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.061ex; height:3.176ex;" alt="{\displaystyle D'_{f}}"></span>, define-se pela região<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span>[</span>1<span>]</span></a></sup>: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{k}=\{(x,y)\in D\subseteq {\mathbb {R} ^{2}}:f(x,y)=k\},\;\;k\in D'_{f}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>∈</mo> <mi>D</mi> <mo>⊆</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>:</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>k</mi> <mo fence="false" stretchy="false">}</mo> <mo>,</mo> <mspace width="thickmathspace" /> <mspace width="thickmathspace" /> <mi>k</mi> <mo>∈</mo> <msubsup> <mi>D</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> <mo>′</mo> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{k}=\{(x,y)\in D\subseteq {\mathbb {R} ^{2}}:f(x,y)=k\},\;\;k\in D'_{f}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55a3d0fab069b04951f64cde3f8a0a29544e0a38" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:46.389ex; height:3.676ex;" alt="{\displaystyle C_{k}=\{(x,y)\in D\subseteq {\mathbb {R} ^{2}}:f(x,y)=k\},\;\;k\in D'_{f}}"></span> Ou seja, uma curva de nível é uma região constituída por todos os pontos de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> com imagem <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="{\displaystyle k}"></span>. </p> <h2 id="Referências" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso."><span id="Refer.C3.AAncias"></span>Referências</h2> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">STEWART, James. Cálculo, volume 2. São Paulo: Pioneira Thomson Learning, 2007. 5ª edição. <a href="/wiki/Especial:Fontes_de_livros/8521104840" class="internal mw-magiclink-isbn">ISBN 85-211-0484-0</a>. Página 890.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Ligações_externas"><span id="Liga.C3.A7.C3.B5es_externas"></span>Ligações externas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Curva_de_n%C3%ADvel&veaction=edit&section=2" title="Editar secção: Ligações externas" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Curva_de_n%C3%ADvel&action=edit&section=2" title="Editar código-fonte da secção: Ligações externas"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://omonitor.io/?q=curvasdenivelporcores">Curvas de nível de funções de duas variáveis, por código de cores</a></li></ul> <div role="navigation" class="navbox" aria-labelledby="Cartografia" style="padding:3px"><table class="nowraplinks hlist collapsible collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3" style="background:#A9D091"><div class="plainlinks hlist navbar mini"><ul><li class="nv-ver"><a href="/wiki/Predefini%C3%A7%C3%A3o:Cartografia" title="Predefinição:Cartografia"><abbr title="Ver esta predefinição" style=";background:#A9D091;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">v</abbr></a></li><li class="nv-discutir"><a href="/w/index.php?title=Predefini%C3%A7%C3%A3o_Discuss%C3%A3o:Cartografia&action=edit&redlink=1" class="new" title="Predefinição Discussão:Cartografia (página não existe)"><abbr title="Discutir esta predefinição" style=";background:#A9D091;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">d</abbr></a></li><li class="nv-editar"><a class="external text" href="https://pt.wikipedia.org/w/index.php?title=Predefini%C3%A7%C3%A3o:Cartografia&action=edit"><abbr title="Editar esta predefinição" style=";background:#A9D091;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">e</abbr></a></li></ul></div><div id="Cartografia" style="font-size:114%;margin:0 4em"><a href="/wiki/Cartografia" title="Cartografia">Cartografia</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;">Tópicos</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Aerofotogrametria" title="Aerofotogrametria">Aerofotogrametria</a></li> <li><a href="/wiki/Aerofotografia" title="Aerofotografia">Aerofotografia</a></li> <li><a href="/wiki/An%C3%A1lise_espacial" title="Análise espacial">Análise espacial</a></li> <li><a href="/wiki/Cartografia_celeste" title="Cartografia celeste">Cartografia celeste</a></li> <li><a href="/wiki/Cosmografia" title="Cosmografia">Cosmografia</a></li> <li><a href="/wiki/Engenharia_geogr%C3%A1fica" title="Engenharia geográfica">Engenharia geográfica</a></li> <li><a href="/wiki/Estereoscopia" title="Estereoscopia">Estereoscopia</a></li> <li><a href="/wiki/Fotogrametria" title="Fotogrametria">Fotogrametria</a></li> <li><a href="/wiki/Geod%C3%A9sia" title="Geodésia">Geodésia</a></li> <li><a href="/wiki/Geoprocessamento" title="Geoprocessamento">Geoprocessamento</a></li> <li><a href="/wiki/Geoposicionamento" title="Geoposicionamento">Geoposicionamento</a></li> <li><a href="/wiki/Georreferenciamento" title="Georreferenciamento">Georreferenciamento</a></li> <li><a href="/wiki/Hipsometria" title="Hipsometria">Hipsometria</a></li> <li><a href="/wiki/Mapeamento_digital" title="Mapeamento digital">Mapeamento digital</a></li> <li><a href="/wiki/Selenografia" title="Selenografia">Selenografia</a></li> <li><a href="/wiki/Telemetria" title="Telemetria">Telemetria</a></li></ul> </div></td><td class="navbox-image" rowspan="8" style="width:1px;padding:0px 0px 0px 2px"><div><span typeof="mw:File"><a href="/wiki/Ficheiro:ELW2-Besprechungsraum.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/ELW2-Besprechungsraum.jpg/120px-ELW2-Besprechungsraum.jpg" decoding="async" width="120" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/ELW2-Besprechungsraum.jpg/180px-ELW2-Besprechungsraum.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/48/ELW2-Besprechungsraum.jpg/240px-ELW2-Besprechungsraum.jpg 2x" data-file-width="1536" data-file-height="2048" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;">Conceitos</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Azimute" title="Azimute">Azimute</a></li> <li><a href="/wiki/Coordenadas_geogr%C3%A1ficas" title="Coordenadas geográficas">Coordenadas geográficas</a></li> <li><a href="/wiki/Distor%C3%A7%C3%A3o_(cartografia)" title="Distorção (cartografia)">Distorção</a></li> <li><a href="/wiki/Eleva%C3%A7%C3%A3o" title="Elevação">Elevação</a></li> <li><a href="/wiki/Fuso_hor%C3%A1rio" title="Fuso horário">Fuso horário</a></li> <li><a href="/wiki/Localiza%C3%A7%C3%A3o" title="Localização">Localização</a></li> <li><a href="/wiki/Latitude" title="Latitude">Latitude</a> e <a href="/wiki/Longitude" title="Longitude">Longitude</a></li> <li><a href="/wiki/Linha_do_equador" title="Linha do equador">Linha do equador</a> e <a href="/wiki/Meridiano_de_Greenwich" title="Meridiano de Greenwich">Meridiano de Greenwich</a></li> <li><a href="/wiki/Paralelo" title="Paralelo">Paralelos</a> e <a href="/wiki/Meridiano_(geografia)" title="Meridiano (geografia)">Meridianos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;"><a href="/wiki/Topografia" title="Topografia">Topografia</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Altitude" title="Altitude">Altitude</a></li> <li><a href="/wiki/Colatitude" title="Colatitude">Colatitude</a></li> <li><a class="mw-selflink selflink">Curva de nível</a></li> <li><a href="/wiki/Declina%C3%A7%C3%A3o_magn%C3%A9tica" title="Declinação magnética">Declinação magnética</a></li> <li><a href="/wiki/Isolinha" title="Isolinha">Isolinha</a></li> <li><a href="/wiki/Levantamento_hidrogr%C3%A1fico" title="Levantamento hidrográfico">Levantamento hidrográfico</a></li> <li><a href="/wiki/Levantamento_topogr%C3%A1fico" title="Levantamento topográfico">Levantamento topográfico</a></li> <li><a href="/wiki/N%C3%ADvel" title="Nível">Nível</a></li> <li><a href="/wiki/N%C3%ADvel_do_mar" title="Nível do mar">Nível do mar</a></li> <li><a href="/wiki/N%C3%ADvel_topogr%C3%A1fico" title="Nível topográfico">Nível topográfico</a></li> <li><a href="/wiki/Nivelamento" title="Nivelamento">Nivelamento</a></li> <li><a href="/wiki/Campo_magn%C3%A9tico_terrestre" title="Campo magnético terrestre">Norte magnético</a></li> <li><a href="/wiki/Norte_cartogr%C3%A1fico" title="Norte cartográfico">Norte cartográfico</a></li> <li><a href="/wiki/Norte_verdadeiro" title="Norte verdadeiro">Norte verdadeiro</a></li> <li><a href="/wiki/Perfil_topogr%C3%A1fico" title="Perfil topográfico">Perfil topográfico</a></li> <li><a href="/wiki/Pico_ultraproeminente" title="Pico ultraproeminente">Pico ultraproeminente</a></li> <li><a href="/wiki/Poligonal_topogr%C3%A1fica" title="Poligonal topográfica">Poligonal topográfica</a></li> <li><a href="/wiki/Ponto_cardeal" title="Ponto cardeal">Ponto cardeal</a></li> <li><a href="/wiki/Pontos_subcolaterais" title="Pontos subcolaterais">Pontos subcolaterais</a></li> <li><a href="/wiki/Proemin%C3%AAncia_topogr%C3%A1fica" title="Proeminência topográfica">Proeminência topográfica</a></li> <li><a href="/wiki/Rede_geod%C3%A9sica" title="Rede geodésica">Rede geodésica</a></li> <li><a href="/wiki/Relevo" title="Relevo">Relevo</a></li> <li><a href="/wiki/Superf%C3%ADcie_terrestre" title="Superfície terrestre">Superfície terrestre</a></li> <li><a href="/wiki/Triangula%C3%A7%C3%A3o_geod%C3%A9sica" title="Triangulação geodésica">Triangulação geodésica</a></li> <li><a href="/wiki/Universal_Transversa_de_Mercator" title="Universal Transversa de Mercator">Universal Transversa de Mercator</a></li> <li><a href="/wiki/V%C3%A9rtice_geod%C3%A9sico" title="Vértice geodésico">Vértice geodésico</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;">Instrumentos</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Authagraph" title="Authagraph">Authagraph</a></li> <li><a href="/wiki/B%C3%BAssola" title="Bússola">Bússola</a></li> <li><a href="/wiki/Esta%C3%A7%C3%A3o_total" title="Estação total">Estação total</a></li> <li><a href="/wiki/Estereosc%C3%B3pio" title="Estereoscópio">Estereoscópio</a></li> <li><a href="/wiki/Rosa_dos_ventos" title="Rosa dos ventos">Rosa dos ventos</a></li> <li><a href="/wiki/Sensoriamento_remoto" title="Sensoriamento remoto">Sensoriamento remoto</a></li> <li><a href="/wiki/Sextante" title="Sextante">Sextante</a></li> <li><a href="/wiki/Sistema_de_posicionamento_global" title="Sistema de posicionamento global">Sistema de posicionamento global</a></li> <li><a href="/wiki/Sistema_de_navega%C3%A7%C3%A3o_por_sat%C3%A9lite" title="Sistema de navegação por satélite">Sistema de navegação por satélite</a></li> <li><a href="/wiki/Teodolito" title="Teodolito">Teodolito</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;"><a href="/wiki/Mapa" title="Mapa">Mapas</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Carta_de_Cassini" title="Carta de Cassini">Carta de Cassini</a></li> <li><a href="/wiki/Carta_de_uso_e_ocupa%C3%A7%C3%A3o_do_solo" title="Carta de uso e ocupação do solo">Carta de uso e ocupação do solo</a></li> <li><a href="/wiki/Carta_geol%C3%B3gica" title="Carta geológica">Carta geológica</a></li> <li><a href="/wiki/Carta_marina" title="Carta marina">Carta marina</a></li> <li><a href="/wiki/Carta_n%C3%A1utica" title="Carta náutica">Carta náutica</a></li> <li><a href="/wiki/Carta_topogr%C3%A1fica" title="Carta topográfica">Carta topográfica</a></li> <li><a href="/wiki/Cartograma" title="Cartograma">Cartograma</a></li> <li><a href="/wiki/Escala_cartogr%C3%A1fica" title="Escala cartográfica">Escala cartográfica</a></li> <li><a href="/wiki/Mapa_coropl%C3%A9tico" title="Mapa coroplético">Mapa coroplético</a></li> <li><a href="/wiki/Mapa_dasim%C3%A9trico" title="Mapa dasimétrico">Mapa dasimétrico</a></li> <li><a href="/wiki/Mapa_de_fluxo" title="Mapa de fluxo">Mapa de fluxo</a></li> <li><a href="/wiki/Mapa_Dymaxion" title="Mapa Dymaxion">Mapa Dymaxion</a></li> <li><a href="/wiki/Mapa_econ%C3%B4mico" title="Mapa econômico">Mapa econômico</a></li> <li><a href="/wiki/Mapa_em_alto_relevo" title="Mapa em alto relevo">Mapa em alto relevo</a></li> <li><a href="/wiki/Mapa_invertido" title="Mapa invertido">Mapa invertido</a></li> <li><a href="/wiki/Mapa_meteorol%C3%B3gico" title="Mapa meteorológico">Mapa meteorológico</a></li> <li><a href="/wiki/Mapa_mudo" title="Mapa mudo">Mapa mudo</a></li> <li><a href="/wiki/Mapa_pol%C3%ADtico" title="Mapa político">Mapa político</a></li> <li><a href="/wiki/Mapa_tem%C3%A1tico" title="Mapa temático">Mapa temático</a></li> <li><a href="/wiki/Mapa-m%C3%BAndi" title="Mapa-múndi">Mapa-múndi</a></li> <li><a href="/wiki/OpenStreetMap" title="OpenStreetMap">OpenStreetMap</a></li> <li><a href="/wiki/Planisf%C3%A9rio_de_Cantino" title="Planisfério de Cantino">Planisfério de Cantino</a></li> <li><a href="/wiki/Planisf%C3%A9rio_de_Cav%C3%A9rio" title="Planisfério de Cavério">Planisfério de Cavério</a></li> <li><a href="/wiki/Planisf%C3%A9rio_de_Contarini" title="Planisfério de Contarini">Planisfério de Contarini</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;"><a href="/wiki/Proje%C3%A7%C3%A3o_cartogr%C3%A1fica" title="Projeção cartográfica">Projeções</a></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Proje%C3%A7%C3%A3o_azimutal" title="Projeção azimutal">Azimutal</a> <ul><li><a href="/wiki/Proje%C3%A7%C3%A3o_azimutal_de_Lambert" title="Projeção azimutal de Lambert">de Lambert</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_azimutal_equidistante" title="Projeção azimutal equidistante">Equidistante</a></li></ul></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_cil%C3%ADndrica" title="Projeção cilíndrica">Cilíndrica</a> <ul><li><a href="/wiki/Proje%C3%A7%C3%A3o_cil%C3%ADndrica_de_Lambert" title="Projeção cilíndrica de Lambert">de Lambert</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_cil%C3%ADndrica_equidistante" title="Projeção cilíndrica equidistante">Equidistante</a></li></ul></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_c%C3%B4nica" title="Projeção cônica">Cônica</a> <ul><li><a href="/wiki/Proje%C3%A7%C3%A3o_c%C3%B4nica_conforme_de_Lambert" title="Projeção cônica conforme de Lambert">de Lambert</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_c%C3%B4nica_equidistante_meridiana" title="Projeção cônica equidistante meridiana">Equidistante</a></li></ul></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_conforme" title="Projeção conforme">Conforme</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Albers" title="Projeção de Albers">de Albers</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Bonne" title="Projeção de Bonne">de Bonne</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Bottomley" title="Projeção de Bottomley">de Bottomley</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Eckert_IV" title="Projeção de Eckert IV">de Eckert IV</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Gall-Peters" title="Projeção de Gall-Peters">de Gall-Peters</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Mercator" title="Projeção de Mercator">de Mercator</a> <ul><li><a href="/wiki/Proje%C3%A7%C3%A3o_transversa_de_Mercator" title="Projeção transversa de Mercator">Transversa de Mercator</a></li></ul></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Miller" title="Projeção de Miller">de Miller</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Mollweide" title="Projeção de Mollweide">de Mollweide</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Robinson" title="Projeção de Robinson">de Robinson</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_de_Werner" title="Projeção de Werner">de Werner</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_Dymaxion" title="Projeção Dymaxion">Dymaxion</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_equivalente" title="Projeção equivalente">Equivalente</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_estereogr%C3%A1fica" title="Projeção estereográfica">Estereográfica</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_gnom%C3%B4nica" title="Projeção gnomônica">Gnomônica</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_ortogr%C3%A1fica" title="Projeção ortográfica">Ortográfica</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_quincuncial_de_Peirce" title="Projeção quincuncial de Peirce">Quincuncial de Peirce</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_Winke_tripel" title="Projeção Winke tripel">Winke tripel</a></li> <li><a href="/wiki/Proje%C3%A7%C3%A3o_ortogonal" title="Projeção ortogonal">Ortogonal</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;">Organizações</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Geoscience_Australia" title="Geoscience Australia">Geoscience Australia</a></li> <li><a href="/wiki/Instituto_Nacional_de_Pesquisas_Espaciais" title="Instituto Nacional de Pesquisas Espaciais">INPE</a></li> <li><a href="/wiki/Instituto_Geogr%C3%A1fico_Nacional_da_Espanha" title="Instituto Geográfico Nacional da Espanha">Instituto Geográfico Nacional da Espanha</a></li> <li><a href="/wiki/Instituto_Geogr%C3%A1fico_Portugu%C3%AAs" title="Instituto Geográfico Português">Instituto Geográfico Português</a></li> <li><a href="/wiki/Lidar" title="Lidar">LIDAR</a></li> <li><a href="/wiki/NASA" title="NASA">NASA</a></li> <li><a href="/wiki/Ordnance_Survey" title="Ordnance Survey">Ordnance Survey</a></li> <li><a href="/wiki/SRTM" title="SRTM">SRTM</a></li> <li><a href="/wiki/Swisstopo" title="Swisstopo">Swisstopo</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#BEDBAC; text-align:center;">Relacionados</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Agrimensura" title="Agrimensura">Agrimensura</a></li> <li><a href="/wiki/Climatologia" title="Climatologia">Climatologia</a></li> <li><a href="/wiki/Hidrografia" title="Hidrografia">Hidrografia</a></li> <li><a href="/wiki/Navega%C3%A7%C3%A3o" title="Navegação">Navegação</a></li> <li><a href="/wiki/Orienta%C3%A7%C3%A3o" title="Orientação">Orientação</a></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtida de "<a dir="ltr" href="https://pt.wikipedia.org/w/index.php?title=Curva_de_nível&oldid=68249549">https://pt.wikipedia.org/w/index.php?title=Curva_de_nível&oldid=68249549</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categorias" title="Especial:Categorias">Categorias</a>: <ul><li><a href="/wiki/Categoria:Topografia" title="Categoria:Topografia">Topografia</a></li><li><a href="/wiki/Categoria:Cartografia" title="Categoria:Cartografia">Cartografia</a></li><li><a href="/wiki/Categoria:Geom%C3%A1tica" title="Categoria:Geomática">Geomática</a></li><li><a href="/wiki/Categoria:Matem%C3%A1tica" title="Categoria:Matemática">Matemática</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Categorias ocultas: <ul><li><a href="/wiki/Categoria:!P%C3%A1ginas_que_usam_hiperliga%C3%A7%C3%B5es_m%C3%A1gicas_ISBN" title="Categoria:!Páginas que usam hiperligações mágicas ISBN">!Páginas que usam hiperligações mágicas ISBN</a></li><li><a href="/wiki/Categoria:!Artigos_que_carecem_de_notas_de_rodap%C3%A9_desde_junho_de_2016" title="Categoria:!Artigos que carecem de notas de rodapé desde junho de 2016">!Artigos que carecem de notas de rodapé desde junho de 2016</a></li><li><a href="/wiki/Categoria:!Artigos_que_carecem_de_notas_de_rodap%C3%A9_sem_indica%C3%A7%C3%A3o_de_tema" title="Categoria:!Artigos que carecem de notas de rodapé sem indicação de tema">!Artigos que carecem de notas de rodapé sem indicação de tema</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Esta página foi editada pela última vez às 21h57min de 8 de julho de 2024.</li> <li id="footer-info-copyright">Este texto é disponibilizado nos termos da licença <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.pt">Atribuição-CompartilhaIgual 4.0 Internacional (CC BY-SA 4.0) da Creative Commons</a>; 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