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mw-first-heading"><span class="mw-page-title-main">Nonius (device)</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 16 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-16" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">16 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Noniuspasser" title="Noniuspasser – Afrikaans" lang="af" hreflang="af" data-title="Noniuspasser" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/N%C3%B2nius" title="Nònius – Catalan" lang="ca" hreflang="ca" data-title="Nònius" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Noonius" title="Noonius – Estonian" lang="et" hreflang="et" data-title="Noonius" data-language-autonym="Eesti" data-language-local-name="Estonian" 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/Nonius" title="Nonius – Basque" lang="eu" hreflang="eu" data-title="Nonius" data-language-autonym="Euskara" data-language-local-name="Basque" 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%82%DB%8C%D8%A7%D8%B3_%D9%88%D8%B1%D9%86%DB%8C%D9%87" title="مقیاس ورنیه – Persian" lang="fa" hreflang="fa" data-title="مقیاس ورنیه" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Nonio" title="Nonio – Galician" lang="gl" hreflang="gl" data-title="Nonio" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%95%84%EB%93%A4%EC%9E%90" title="아들자 – Korean" lang="ko" hreflang="ko" data-title="아들자" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Nonius" title="Nonius – Croatian" lang="hr" hreflang="hr" data-title="Nonius" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Nonius" title="Nonius – Indonesian" lang="id" hreflang="id" data-title="Nonius" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Nonio_(strumento)" title="Nonio (strumento) – Italian" lang="it" hreflang="it" data-title="Nonio (strumento)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9D%D0%BE%D0%BD%D0%B8%D1%83%D1%81" title="Нониус – Kazakh" lang="kk" hreflang="kk" data-title="Нониус" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B5%86%E0%B5%BC%E0%B4%A3%E0%B4%BF%E0%B4%AF%E0%B5%BC_%E0%B4%95%E0%B4%BE%E0%B4%B2%E0%B4%BF%E0%B4%AA%E0%B5%8D%E0%B4%AA%E0%B5%86%E0%B5%BC" title="വെർണിയർ കാലിപ്പെർ – Malayalam" lang="ml" hreflang="ml" data-title="വെർണിയർ കാലിപ്പെർ" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%B3nio" title="Nónio – Portuguese" lang="pt" hreflang="pt" data-title="Nónio" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%AA%E0%A4%95%E0%A4%AE%E0%A5%8D" title="वर्नियरमापकम् – Sanskrit" lang="sa" hreflang="sa" data-title="वर्नियरमापकम्" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/N%C3%B3nius_(stupnica)" title="Nónius (stupnica) – Slovak" lang="sk" hreflang="sk" data-title="Nónius (stupnica)" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B5%E0%B1%86%E0%B0%B0%E0%B1%8D%E0%B0%A8%E0%B0%BF%E0%B0%AF%E0%B0%B0%E0%B1%8D_%E0%B0%95%E0%B0%BE%E0%B0%B2%E0%B0%BF%E0%B0%AA%E0%B0%B0%E0%B1%8D%E0%B0%B8%E0%B1%8D" title="వెర్నియర్ కాలిపర్స్ – Telugu" lang="te" hreflang="te" data-title="వెర్నియర్ కాలిపర్స్" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</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/Q192772#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</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="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> 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class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Measuring tool used in navigation and astronomy</div> <p class="mw-empty-elt"> </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Nonio_originale.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Nonio_originale.jpg/190px-Nonio_originale.jpg" decoding="async" width="190" height="253" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Nonio_originale.jpg/285px-Nonio_originale.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/5/5c/Nonio_originale.jpg 2x" data-file-width="309" data-file-height="412" /></a><figcaption><a href="/wiki/Pedro_Nunes" title="Pedro Nunes">Pedro Nunes</a> <b>Nonius</b> model</figcaption></figure> <p><b>Nonius</b> is a measuring tool used in navigation and astronomy named in honour of its inventor, <a href="/wiki/Pedro_Nunes" title="Pedro Nunes">Pedro Nunes</a> (Latin: Petrus Nonius),<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> a Portuguese author, mathematician and navigator. The nonius was created in 1542 as a system for taking finer measurements on circular instruments such as the <a href="/wiki/Astrolabe" title="Astrolabe">astrolabe</a>. The system was eventually adapted into the <a href="/wiki/Vernier_scale" title="Vernier scale">Vernier scale</a> in 1631 by the French mathematician <a href="/wiki/Pierre_Vernier" title="Pierre Vernier">Pierre Vernier</a>.<sup id="cite_ref-Poelje_2-0" class="reference"><a href="#cite_note-Poelje-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Technical_features">Technical features</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nonius_(device)&action=edit&section=1" title="Edit section: Technical features"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:N%C3%B3nio.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/N%C3%B3nio.gif/220px-N%C3%B3nio.gif" decoding="async" width="220" height="284" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/N%C3%B3nio.gif/330px-N%C3%B3nio.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/N%C3%B3nio.gif/440px-N%C3%B3nio.gif 2x" data-file-width="543" data-file-height="700" /></a><figcaption>Nonius method of measuring an angle with higher precision</figcaption></figure> <p>The nonius was used to improve the <a href="/wiki/Astrolabe" title="Astrolabe">astrolabe</a>'s accuracy. This consisted of a number of <a href="/wiki/Concentric" class="mw-redirect" title="Concentric">concentric</a> circles traced on an instrument and dividing each successive one with one fewer divisions than the adjacent outer circle. On a standard scale of 90 degrees, there are an additional 44–45 concentric circles, with each divided into a specific unit size such that a scale unit on position <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> had an arc of <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 90/n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>90</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 90/n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c1af2fa04a5a76eed88efd9efaebf119fed0ab3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.882ex; height:2.843ex;" alt="{\displaystyle 90/n}"></span> degrees.<sup id="cite_ref-Poelje_2-1" class="reference"><a href="#cite_note-Poelje-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Eisele_3-0" class="reference"><a href="#cite_note-Eisele-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Thus, the outermost <a href="/wiki/Quadrant_(circle)" class="mw-redirect" title="Quadrant (circle)">quadrant</a> would comprise 90° in 90 equal divisions, the next inner would have 89 divisions, the next 88 and so on. When an angle was measured, the circle and the division on which the <a href="/wiki/Alidade" title="Alidade">alidade</a> fell was noted. A table was then consulted to provide the exact measure.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Applications">Applications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nonius_(device)&action=edit&section=2" title="Edit section: Applications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <a href="/wiki/Astronomer" title="Astronomer">astronomer</a> <a href="/wiki/Tycho_Brahe" title="Tycho Brahe">Tycho Brahe</a> applied the nonius to the astronomic <a href="/wiki/Quadrant_(instrument)" title="Quadrant (instrument)">quadrant</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Eisele_3-1" class="reference"><a href="#cite_note-Eisele-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>In <a href="/wiki/Numerical_control" title="Numerical control">numerically controlled</a> machines, the nonius is part of several <a href="/wiki/Linear_encoder#Absolute_code" title="Linear encoder">absolute encoders</a>, that measure linear or rotational displacements.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nonius_(device)&action=edit&section=3" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Transversal_(instrument_making)" title="Transversal (instrument making)">Transversal (instrument making)</a></li> <li><a href="/w/index.php?title=Nonius_connector&action=edit&redlink=1" class="new" title="Nonius connector (page does not exist)">Nonius connector</a><span class="noprint" style="font-size:85%; font-style: normal;"> [<a href="https://de.wikipedia.org/wiki/Noniusverbinder" class="extiw" title="de:Noniusverbinder">de</a>]</span></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nonius_(device)&action=edit&section=4" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.infopedia.pt/$pedro-nunes">"Pedro Nunes"</a>. Infopédia [em linha]. Porto: Porto Editora. 2015.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Pedro+Nunes&rft.pub=Infop%C3%A9dia+%5Bem+linha%5D.+Porto%3A+Porto+Editora&rft.date=2015&rft_id=http%3A%2F%2Fwww.infopedia.pt%2F%24pedro-nunes&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span></span> </li> <li id="cite_note-Poelje-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-Poelje_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Poelje_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPoelje2004" class="citation journal cs1">Poelje, Otto van (25 July 2004). <a rel="nofollow" class="external text" href="https://eeuwen.home.xs4all.nl/images/Pics/Kombuispraat/Pleinschaal/200410%20Diagonals%20and%20Transversals%20V13-2.pdf">"Diagonals and Transversals: Magnifying the Scale"</a> <span class="cs1-format">(PDF)</span>. <i>Journal of the Oughtred Society</i>: 22–28<span class="reference-accessdate">. Retrieved <span class="nowrap">2 May</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+the+Oughtred+Society&rft.atitle=Diagonals+and+Transversals%3A+Magnifying+the+Scale&rft.pages=22-28&rft.date=2004-07-25&rft.aulast=Poelje&rft.aufirst=Otto+van&rft_id=https%3A%2F%2Feeuwen.home.xs4all.nl%2Fimages%2FPics%2FKombuispraat%2FPleinschaal%2F200410%2520Diagonals%2520and%2520Transversals%2520V13-2.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span></span> </li> <li id="cite_note-Eisele-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-Eisele_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Eisele_3-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEisele" class="citation web cs1 cs1-prop-foreign-lang-source">Eisele, Margarete. <a rel="nofollow" class="external text" href="http://www.maths-in-europe.eu/ru/2-uncategorised/684-the-nonius">"The Nonius"</a>. <i>Mathematics in Europe</i> (in Russian)<span class="reference-accessdate">. Retrieved <span class="nowrap">2 May</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Mathematics+in+Europe&rft.atitle=The+Nonius&rft.aulast=Eisele&rft.aufirst=Margarete&rft_id=http%3A%2F%2Fwww.maths-in-europe.eu%2Fru%2F2-uncategorised%2F684-the-nonius&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged June 2021">dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAntónio_Estácio_dos_Reis" class="citation web cs1 cs1-prop-foreign-lang-source">António Estácio dos Reis. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150414094509/http://www.cienciaviva.pt/latlong/anterior/nonio2.asp">"O conceito de nónio"</a> [The concept of Nonius] (in Portuguese). Ciência Viva. Archived from <a rel="nofollow" class="external text" href="http://www.cienciaviva.pt/latlong/anterior/nonio2.asp">the original</a> on 14 April 2015<span class="reference-accessdate">. Retrieved <span class="nowrap">17 January</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=O+conceito+de+n%C3%B3nio&rft.pub=Ci%C3%AAncia+Viva&rft.au=Ant%C3%B3nio+Est%C3%A1cio+dos+Reis&rft_id=http%3A%2F%2Fwww.cienciaviva.pt%2Flatlong%2Fanterior%2Fnonio2.asp&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAntónio_Estácio_dos_Reis" class="citation web cs1">António Estácio dos Reis. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150414093623/http://www.cienciaviva.pt/latlong/anterior/nonio3.asp">"Tycho Brahe recorre ao nónio de Pedro Nunes"</a> [Tycho Brahe betakes Pedro Nunes' Nonius]. Ciência Viva. Archived from <a rel="nofollow" class="external text" href="http://www.cienciaviva.pt/latlong/anterior/nonio3.asp">the original</a> on 14 April 2015<span class="reference-accessdate">. Retrieved <span class="nowrap">17 January</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Tycho+Brahe+recorre+ao+n%C3%B3nio+de+Pedro+Nunes&rft.pub=Ci%C3%AAncia+Viva&rft.au=Ant%C3%B3nio+Est%C3%A1cio+dos+Reis&rft_id=http%3A%2F%2Fwww.cienciaviva.pt%2Flatlong%2Fanterior%2Fnonio3.asp&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.sensorsmag.com/sensors/position-presence-proximity/the-vernier-scale-goes-digital-1541">"Nonius interpolation provides excellent differential linearity and higher resolution for linear displacement measurement systems or rotary encoders"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Nonius+interpolation+provides+excellent+differential+linearity+and+higher+resolution+for+linear+displacement+measurement+systems+or+rotary+encoders&rft_id=http%3A%2F%2Fwww.sensorsmag.com%2Fsensors%2Fposition-presence-proximity%2Fthe-vernier-scale-goes-digital-1541&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANonius+%28device%29" class="Z3988"></span></span> </li> </ol></div></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl 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