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font-size:120%;" colspan="3">Polyconische projectie </th></tr> <tr> <td style="text-align:center; padding:0;" colspan="3"><span typeof="mw:File"><a href="/wiki/Bestand:World_borders_polycon.png" class="mw-file-description"><img alt="Polyconische projectie" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/World_borders_polycon.png/266px-World_borders_polycon.png" decoding="async" width="266" height="202" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/World_borders_polycon.png/399px-World_borders_polycon.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/World_borders_polycon.png/532px-World_borders_polycon.png 2x" data-file-width="2500" data-file-height="1900" /></a></span> </td></tr> <tr> <th><a href="/wiki/Kaartprojectie#Gewenste_eigenschappen" title="Kaartprojectie">Gunstige eigenschap</a> </th> <td colspan="2"><a href="/wiki/Afstandsgetrouw" class="mw-redirect" title="Afstandsgetrouw">afstandsgetrouw</a> langs <a href="/wiki/Parallel_(geografie)" title="Parallel (geografie)">parallellen</a> </td></tr> <tr> <th class="infobox-kop notheme" style="background-color:#e7dcc3; color:inherit;" colspan="3"><a href="/wiki/Kaartprojectie#Vormen_van_projectie" title="Kaartprojectie">Geometrische constructie</a> </th></tr> <tr> <th>Vorm van het projectievlak </th> <td colspan="2">kegel (variabel) </td></tr> <tr> <th>Positie van het projectievlak </th> <td colspan="2">normaal </td></tr> <tr> <th>Rakend/snijdend </th> <td colspan="2">rakend </td></tr> <tr> <td class="infobox-kop notheme center" style="background-color:#e7dcc3; color:inherit;" colspan="3"> <table cellspacing="0" cellpadding="0"> <tbody><tr> <td style="vertical-align:middle;"><b>Portaal</b>  <span class="noviewer" typeof="mw:File"><a href="/wiki/Bestand:Portal.svg" class="mw-file-description" title="Portaalicoon"><img alt="Portaalicoon" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Portal.svg/22px-Portal.svg.png" decoding="async" width="22" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Portal.svg/33px-Portal.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Portal.svg/44px-Portal.svg.png 2x" data-file-width="36" data-file-height="32" /></a></span>   </td> <td class="ta-left"><b><a href="/wiki/Portaal:Geografie" title="Portaal:Geografie">Geografie</a> </b> </td></tr></tbody></table> </td></tr> </tbody></table> <p>De <b>polyconische projectie</b> is een variant op de <a href="/wiki/Kegelprojectie" title="Kegelprojectie">kegelprojectie</a> waarbij de tophoek van de kegel varieert met het af te beelden punt. Het resultaat is een kaart met constante schaal in de richting van de parallellen, die de vorm hebben van een deel van een <a href="/wiki/Cirkel" title="Cirkel">cirkel</a>. </p><p>De projectie wordt gegeven door: </p> <dl><dd><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\,=\cot \beta \sin(\lambda \sin \beta )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mi>cot</mi> <mo>⁡</mo> <mi>β</mi> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>λ</mi> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\,=\cot \beta \sin(\lambda \sin \beta )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdd930abd69c7547d28c9467d178de7475814f69" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.003ex; height:2.843ex;" alt="{\displaystyle x\,=\cot \beta \sin(\lambda \sin \beta )}"></span></dd></dl> <dl><dd><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 y\,=\beta +\cot \beta [1-\cos(\lambda \sin \beta )]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mi>β</mi> <mo>+</mo> <mi>cot</mi> <mo>⁡</mo> <mi>β</mi> <mo stretchy="false">[</mo> <mn>1</mn> <mo>−</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>λ</mi> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y\,=\beta +\cot \beta [1-\cos(\lambda \sin \beta )]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7932c02aa1f8e46b09ac88ebd2f7a23480863c1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.166ex; height:2.843ex;" alt="{\displaystyle y\,=\beta +\cot \beta [1-\cos(\lambda \sin \beta )]}"></span></dd></dl> <p><a href="/w/index.php?title=Ferdinand_Rudolph_Hassler&action=edit&redlink=1" class="new" title="Ferdinand Rudolph Hassler (de pagina bestaat niet)">Ferdinand Rudolph Hassler</a> stelde deze projectie voor in <a href="/wiki/1825" title="1825">1825</a>. Na <a href="/wiki/1879" title="1879">1879</a> werd de polyconische projectie al gauw favoriet bij <a href="/wiki/Verenigde_Staten" title="Verenigde Staten">Amerikaanse</a> overheidsinstanties, waardoor er op den duur ook kaarten op basis van deze projectie in commerciële atlassen verschenen. Sinds het midden van de 20e eeuw wordt de polyconische projectie echter niet veel meer gebruikt. </p> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polyconische_projectie&veaction=edit&section=1" title="Bewerk dit kopje: Zie ook" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polyconische_projectie&action=edit&section=1" title="De broncode bewerken van de sectie: Zie ook"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Strikte kegelprojecties: </p> <ul><li><a href="/wiki/Hoekgetrouwe_kegelprojectie" title="Hoekgetrouwe kegelprojectie">Hoekgetrouwe kegelprojectie</a></li> <li><a href="/wiki/Oppervlaktegetrouwe_kegelprojectie" title="Oppervlaktegetrouwe kegelprojectie">Oppervlaktegetrouwe kegelprojectie</a></li></ul> <p>Andere afstandsware projecties: </p> <ul><li><a href="/wiki/Tweepunts-equidistante_projectie" title="Tweepunts-equidistante projectie">Tweepunts-equidistante projectie</a></li></ul> <style data-mw-deduplicate="TemplateStyles:r67837862">.mw-parser-output .navigatie{position:relative;clear:both;overflow:auto;margin:1em auto -0.5em;padding:2px;background-color:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);text-align:center;font-size:87%}.mw-parser-output .navigatie-bewerken{margin-left:0.5em}.mw-parser-output .navigatie-bewerken .mw-ui-icon::before{background-size:0.9em}.mw-parser-output .navigatie-afb-links,.mw-parser-output .navigatie-afb-rechts{position:absolute}.mw-parser-output .navigatie-afb-rechts{right:2px}.mw-parser-output .navigatie-afb-groot{float:right;padding-left:0.5em}.mw-parser-output .navigatie-titel{background-color:#ddeef8;padding:2px 5.5em;font-weight:bold}.mw-parser-output .navigatie-inhoud{padding:0.5em}.mw-parser-output .navigatie-inhoud p:first-child{margin:0}.mw-parser-output .navigatie div[style*="background-color"],.mw-parser-output .navigatie div[style*="background"]{color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}</style> <div class="navigatie" role="navigation" aria-labelledby="Kaartprojecties"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Navigatie_kaartprojecties" title="Sjabloon:Navigatie kaartprojecties"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" 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2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Navigatie_kaartprojecties&action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Kaartprojecties" class="navigatie-titel"><a href="/wiki/Kaartprojectie" title="Kaartprojectie">Kaartprojecties</a></div> <div class="navigatie-inhoud"> <table class="wikitable" style="text-align:center; width:100%; margin-top:5px; margin-bottom:5px;"> <tbody><tr> <th>hoek-, oppervlakte- en afstandsgetrouw </th> <td colspan="3"><a href="/wiki/Globe" title="Globe">globe</a> </td></tr> <tr> <th> </th> <th><a href="/wiki/Kegelprojectie" title="Kegelprojectie">kegelprojecties</a> </th> <th><a href="/wiki/Cilinderprojectie" title="Cilinderprojectie">cilinderprojecties</a> </th> <th><a href="/wiki/Azimutale_projectie" title="Azimutale projectie">azimutale projecties</a> </th></tr> <tr> <th><a href="/wiki/Hoekgetrouwe_projectie" title="Hoekgetrouwe projectie">hoekgetrouw</a> <br /> <small>of conform</small> </th> <td><a href="/wiki/Hoekgetrouwe_kegelprojectie" title="Hoekgetrouwe kegelprojectie">hoekgetrouwe kegelprojectie</a> of lambertprojectie </td> <td><a href="/wiki/Hoekgetrouwe_cilinderprojectie" title="Hoekgetrouwe cilinderprojectie">hoekgetrouwe cilinderprojectie</a> <br /> <small><a href="/wiki/Mercatorprojectie" title="Mercatorprojectie">mercator</a>, <a href="/w/index.php?title=Schuine_mercatorprojectie&action=edit&redlink=1" class="new" title="Schuine mercatorprojectie (de pagina bestaat niet)">schuine mercator</a>, <a href="/wiki/Transversale_Mercatorprojectie" class="mw-redirect" title="Transversale Mercatorprojectie">transversale mercator</a>, <a href="/wiki/Universele_transversale_mercatorprojectie" title="Universele transversale mercatorprojectie">universele transversale mercator</a></small> </td> <td><a href="/wiki/Hoekgetrouwe_azimutale_projectie" title="Hoekgetrouwe azimutale projectie">hoekgetrouwe azimutale projectie</a> of stereografische azimutale projectie </td></tr> <tr> <th><a href="/wiki/Oppervlaktegetrouwe_projectie" title="Oppervlaktegetrouwe projectie">oppervlaktegetrouw</a> <br /> <small>of equivalent</small> </th> <td><a href="/wiki/Oppervlaktegetrouwe_kegelprojectie" title="Oppervlaktegetrouwe kegelprojectie">oppervlaktegetrouwe kegelprojectie</a> of projectie van Albers <br /> <small><a href="/wiki/Projectie_van_Bonne" title="Projectie van Bonne">Bonne</a></small> </td> <td><a href="/wiki/Oppervlaktegetrouwe_cilinderprojectie" title="Oppervlaktegetrouwe cilinderprojectie">oppervlaktegetrouwe cilinderprojectie</a> <br /> <small><a href="/wiki/Orthografische_cilinderprojectie" title="Orthografische cilinderprojectie">orthografische cilinderprojectie</a> of oppervlaktegetrouwe cilinderprojectie van Lambert, <a href="/wiki/Projectie_van_Gall-Peters" title="Projectie van Gall-Peters">Gall-Peters</a>, <a href="/w/index.php?title=Behrmannprojectie&action=edit&redlink=1" class="new" title="Behrmannprojectie (de pagina bestaat niet)">Behrmann</a>, <a href="/w/index.php?title=Hobo-dyer-projectie&action=edit&redlink=1" class="new" title="Hobo-dyer-projectie (de pagina bestaat niet)">Hobo-Dyer</a>, <a href="/wiki/Mollweideprojectie" title="Mollweideprojectie">Mollweide</a>, <a href="/wiki/Sinuso%C3%AFdeprojectie" title="Sinusoïdeprojectie">sinusoïde</a>, <a href="/wiki/Projectie_van_Goode" title="Projectie van Goode">Goode</a>, Eckert II, IV en VI</small> </td> <td><a href="/wiki/Oppervlaktegetrouwe_azimutale_projectie" title="Oppervlaktegetrouwe azimutale projectie">oppervlaktegetrouwe azimutale projectie</a> of azimutale projectie van Lambert<br /> <small><a href="/wiki/Projectie_van_Aitoff-Hammer" title="Projectie van Aitoff-Hammer">Aitoff-Hammer</a></small> </td></tr> <tr> <th><a href="/wiki/Afstandsgetrouwe_projectie" title="Afstandsgetrouwe projectie">beperkt afstandsgetrouw</a> <br /> <small>of equidistant</small> </th> <td><a href="/wiki/Afstandsgetrouwe_kegelprojectie" title="Afstandsgetrouwe kegelprojectie">afstandsgetrouwe kegelprojectie</a> <br /> <small><a class="mw-selflink selflink">polyconische projectie</a></small> </td> <td><a href="/wiki/Afstandsgetrouwe_cilinderprojectie" title="Afstandsgetrouwe cilinderprojectie">afstandsgetrouwe cilinderprojectie</a> <br /> <small><a href="/wiki/Kwadratische_platkaart" class="mw-redirect" title="Kwadratische platkaart">kwadratische platkaart</a>, <a href="/wiki/Middelbreedtekaart" title="Middelbreedtekaart">middelbreedtekaart</a>, <a href="/w/index.php?title=Cassiniprojectie&action=edit&redlink=1" class="new" title="Cassiniprojectie (de pagina bestaat niet)">Cassini</a></small> </td> <td><a href="/wiki/Afstandsgetrouwe_azimutale_projectie" title="Afstandsgetrouwe azimutale projectie">afstandsgetrouwe azimutale projectie</a> <br /> <small><a href="/wiki/Tweepunts-equidistante_projectie" title="Tweepunts-equidistante projectie">tweepunts-equidistant</a>, <a href="/w/index.php?title=Postelprojectie&action=edit&redlink=1" class="new" title="Postelprojectie (de pagina bestaat niet)">Postel</a></small> </td></tr> <tr> <th rowspan="2">onechte projecties </th> <td> </td> <td><a href="/wiki/Stereografische_cilinderprojectie" title="Stereografische cilinderprojectie">stereografische cilinderprojectie</a>, <a href="/w/index.php?title=Millerprojectie&action=edit&redlink=1" class="new" title="Millerprojectie (de pagina bestaat niet)">Miller</a>, <a href="/wiki/Robinsonprojectie" title="Robinsonprojectie">Robinson</a> </td> <td><a href="/wiki/Winkel-tripelprojectie" title="Winkel-tripelprojectie">Winkel-tripel</a>, <a href="/wiki/Gnomonische_projectie" title="Gnomonische projectie">gnomonisch</a>, <a href="/wiki/Orthografische_azimutale_projectie" title="Orthografische azimutale projectie">orthografische azimutaal</a> </td></tr> <tr> <td colspan="3"> <p><a href="/w/index.php?title=Van_der_Grintenprojectie&action=edit&redlink=1" class="new" title="Van der Grintenprojectie (de pagina bestaat niet)">Van der Grinten</a>, <a href="/wiki/Sinaasappelschilprojectie" title="Sinaasappelschilprojectie">sinaasappelschil</a>, <a href="/wiki/Polyederprojectie" title="Polyederprojectie">polyeder</a>, <a href="/wiki/Perspectiefprojectie" title="Perspectiefprojectie">perspectief</a>, <a href="/wiki/Dymaxion-projectie" title="Dymaxion-projectie">Dymaxion-projectie</a> </p> </td></tr></tbody></table> </div></div>    </div><noscript><img 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