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Dit is echter niet verplicht."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Account aanmaken</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:Aanmelden&returnto=Pentaprisma" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Aanmelden</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pagina's voor uitgelogde redacteuren <a href="/wiki/Help:Inleiding" aria-label="Meer leren over bewerken"><span>meer lezen</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Speciaal:MijnBijdragen" title="Bijdragen IP-adres [y]" accesskey="y"><span>Bijdragen</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciaal:MijnOverleg" title="Overlegpagina van de anonieme gebruiker van dit IP-adres [n]" accesskey="n"><span>Overleg</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Inhoud" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Dakkantprisma" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dakkantprisma"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Dakkantprisma</span> </div> </a> <ul id="toc-Dakkantprisma-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Inhoud" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Inhoudsopgave" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Inhoudsopgave omschakelen" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Inhoudsopgave omschakelen</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Pentaprisma</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="Ga naar een artikel in een andere taal. Beschikbaar in 21 talen" > <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-21" 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">21 talen</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/Pentaprisma" title="Pentaprisma – Afrikaans" lang="af" hreflang="af" data-title="Pentaprisma" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%B5%D1%82%D0%BE%D1%81%D1%82%D0%B5%D0%BD%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%B7%D0%BC%D0%B0" title="Петостенна призма – Bulgaars" lang="bg" hreflang="bg" data-title="Петостенна призма" data-language-autonym="Български" data-language-local-name="Bulgaars" 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/Pentaprisma" title="Pentaprisma – Catalaans" lang="ca" hreflang="ca" data-title="Pentaprisma" data-language-autonym="Català" data-language-local-name="Catalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Pentaprisma" title="Pentaprisma – Duits" lang="de" hreflang="de" data-title="Pentaprisma" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Pentaprism" title="Pentaprism – Engels" lang="en" hreflang="en" data-title="Pentaprism" data-language-autonym="English" data-language-local-name="Engels" 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/Kvinprismo" title="Kvinprismo – Esperanto" lang="eo" hreflang="eo" data-title="Kvinprismo" 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/Pentaprisma" title="Pentaprisma – Spaans" lang="es" hreflang="es" data-title="Pentaprisma" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Pentaprisme" title="Pentaprisme – Frans" lang="fr" hreflang="fr" data-title="Pentaprisme" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Pentaprisma" title="Pentaprisma – Italiaans" lang="it" hreflang="it" data-title="Pentaprisma" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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/%E3%83%9A%E3%83%B3%E3%82%BF%E3%83%97%E3%83%AA%E3%82%BA%E3%83%A0" title="ペンタプリズム – Japans" lang="ja" hreflang="ja" data-title="ペンタプリズム" data-language-autonym="日本語" data-language-local-name="Japans" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%98%A4%EA%B0%81%ED%94%84%EB%A6%AC%EC%A6%98" title="오각프리즘 – Koreaans" lang="ko" hreflang="ko" data-title="오각프리즘" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Pentaprizma" title="Pentaprizma – Lets" lang="lv" hreflang="lv" data-title="Pentaprizma" data-language-autonym="Latviešu" data-language-local-name="Lets" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pryzmat_pentagonalny" title="Pryzmat pentagonalny – Pools" lang="pl" hreflang="pl" data-title="Pryzmat pentagonalny" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Pentaprisma" title="Pentaprisma – Portugees" lang="pt" hreflang="pt" data-title="Pentaprisma" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B5%D0%BD%D1%82%D0%B0%D0%BF%D1%80%D0%B8%D0%B7%D0%BC%D0%B0" title="Пентапризма – Russisch" lang="ru" hreflang="ru" data-title="Пентапризма" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Petstrana_prizma_(optika)" title="Petstrana prizma (optika) – Sloveens" lang="sl" hreflang="sl" data-title="Petstrana prizma (optika)" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Pentaprisma" title="Pentaprisma – Zweeds" lang="sv" hreflang="sv" data-title="Pentaprisma" data-language-autonym="Svenska" data-language-local-name="Zweeds" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%90%E0%AE%AE%E0%AF%8D%E0%AE%AA%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%95%E0%AE%AE%E0%AF%8D" title="ஐம்பட்டகம் – Tamil" lang="ta" hreflang="ta" data-title="ஐம்பட்டகம்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D0%BD%D1%82%D0%B0%D0%BF%D1%80%D0%B8%D0%B7%D0%BC%D0%B0" title="Пентапризма – Oekraïens" lang="uk" hreflang="uk" data-title="Пентапризма" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%94%E7%A8%9C%E9%8F%A1" title="五稜鏡 – Chinees" lang="zh" hreflang="zh" data-title="五稜鏡" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%BA%94%E7%A8%9C%E9%8F%A1_(%E7%A8%9C%E9%8F%A1)" title="五稜鏡 (稜鏡) – Kantonees" lang="yue" hreflang="yue" data-title="五稜鏡 (稜鏡)" data-language-autonym="粵語" data-language-local-name="Kantonees" class="interlanguage-link-target"><span>粵語</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/Q866442#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</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="Naamruimten"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pentaprisma" title="Inhoudspagina bekijken [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Overleg:Pentaprisma&action=edit&redlink=1" rel="discussion" class="new" title="Overleg over deze pagina (de pagina bestaat niet) [t]" accesskey="t"><span>Overleg</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Taalvariant wijzigen" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Nederlands</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Weergaven"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pentaprisma"><span>Lezen</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pentaprisma&veaction=edit" title="Deze pagina bewerken [v]" accesskey="v"><span>Bewerken</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pentaprisma&action=edit" title="Broncode van deze pagina bewerken [e]" accesskey="e"><span>Brontekst bewerken</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pentaprisma&action=history" title="Eerdere versies van deze pagina [h]" accesskey="h"><span>Geschiedenis weergeven</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Paginahulpmiddelen"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Hulpmiddelen" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Hulpmiddelen</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">verbergen</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Meer opties" > <div class="vector-menu-heading"> Handelingen </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Pentaprisma"><span>Lezen</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pentaprisma&veaction=edit" title="Deze pagina bewerken [v]" accesskey="v"><span>Bewerken</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pentaprisma&action=edit" title="Broncode van deze pagina bewerken [e]" accesskey="e"><span>Brontekst bewerken</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pentaprisma&action=history"><span>Geschiedenis weergeven</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Algemeen </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speciaal:VerwijzingenNaarHier/Pentaprisma" title="Lijst met alle pagina's die naar deze pagina verwijzen [j]" accesskey="j"><span>Links naar deze pagina</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speciaal:RecenteWijzigingenGelinkt/Pentaprisma" rel="nofollow" title="Recente wijzigingen in pagina's waar deze pagina naar verwijst [k]" accesskey="k"><span>Gerelateerde wijzigingen</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=nl" title="Bestanden uploaden [u]" accesskey="u"><span>Bestand uploaden</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Pentaprisma&oldid=53677485" title="Permanente koppeling naar deze versie van deze pagina"><span>Permanente koppeling</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Pentaprisma&action=info" title="Meer informatie over deze pagina"><span>Paginagegevens</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speciaal:Citeren&page=Pentaprisma&id=53677485&wpFormIdentifier=titleform" title="Informatie over hoe u deze pagina kunt citeren"><span>Deze pagina citeren</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciaal:UrlShortener&url=https%3A%2F%2Fnl.wikipedia.org%2Fwiki%2FPentaprisma"><span>Verkorte URL verkrijgen</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciaal:QrCode&url=https%3A%2F%2Fnl.wikipedia.org%2Fwiki%2FPentaprisma"><span>QR-code downloaden</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Afdrukken/exporteren </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Speciaal:Boek&bookcmd=book_creator&referer=Pentaprisma"><span>Boek aanmaken</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a 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src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Pentagonal_Prism_BC.svg/150px-Pentagonal_Prism_BC.svg.png" decoding="async" width="150" height="130" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Pentagonal_Prism_BC.svg/225px-Pentagonal_Prism_BC.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/79/Pentagonal_Prism_BC.svg/300px-Pentagonal_Prism_BC.svg.png 2x" data-file-width="370" data-file-height="320" /></a><figcaption>Meest algemene vorm van een pentaprisma</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Doppelpenta.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Doppelpenta.jpg/150px-Doppelpenta.jpg" decoding="async" width="150" height="187" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Doppelpenta.jpg/225px-Doppelpenta.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Doppelpenta.jpg/300px-Doppelpenta.jpg 2x" data-file-width="481" data-file-height="600" /></a><figcaption>Dubbel pentaprisma voor landmeetkunde</figcaption></figure> <p>Een <b>pentaprisma</b> of <b>pentagoonprisma</b> is in zijn algemeenheid een vijfzijdig <a href="/wiki/Prisma_(wiskunde)" title="Prisma (wiskunde)">prisma</a> (van Grieks <i>πεντε pentè</i> = vijf). Het wordt gekenmerkt door vijf vlakken die evenwijdig zijn aan één lijn. </p><p>In de <a href="/wiki/Geometrische_optica" title="Geometrische optica">geometrische optica</a> worden pentaprisma’s veel gebruikt, vooral in spiegelreflexcamera’s en bepaalde landmeetkundige instrumenten. </p><p>Het grondvlak en het bovenvlak (overeenkomend met de donkerbruine vlakken in de bovenste afbeelding hiernaast) zijn hierbij meestal evenwijdig en spelen optisch geen rol. Van de andere vijf vlakken, waaraan het pentaprisma zijn naam dankt, worden er vier optisch gebruikt en wel twee als in- en uittreevlak en twee als reflectievlak. In- en uittreevlak staan gewoonlijk loodrecht op elkaar. De reflectievlakken zijn <a href="/wiki/Spiegel_(optica)" title="Spiegel (optica)">verspiegeld</a> omdat de invalshoeken van het licht te steil zijn voor totale reflectie. </p><p>Deze pentaprisma’s zetten een beeld om in een beeld in een vlak loodrecht op het eerste vlak. In een camera vormt het objectief een beeld dat 180° gedraaid is, dus onder en boven zowel als links en rechts zijn verwisseld. De 45°-spiegel in een spiegelreflexcamera zet onder en boven weer goed op het matglas, maar links en rechts zijn dan nog steeds verwisseld. Als in de zoeker een simpele 45°-spiegel zou worden gebruikt, zou het beeld opnieuw ondersteboven staan. Neemt men in plaats van deze tweede 45°-spiegel een pentaprisma, dan is het beeld weer hetzelfde als op het matglas: boven en onder staan goed. Immers bij elke spiegeling wordt onder en boven verwisseld. Er is nu eenmaal door de 45°-spiegel en tweemaal door het pentaprisma gespiegeld. Daar het objectief het beeld 180° had geroteerd, staat het beeld door het <i>oneven</i> aantal spiegelingen nu overeind. Alleen zijn links en rechts zijn nog steeds verwisseld. Dit laatste wordt gecorrigeerd door het pentaprisma van een dakkant te voorzien (zie <a href="#Dakkantprisma">Dakkantprisma</a> hieronder). </p><p>In de <a href="/wiki/Landmeetkunde" title="Landmeetkunde">landmeetkunde</a> wordt een dubbel pentaprisma gebruikt voor het uitzetten van <a href="/wiki/Rechte_hoek" title="Rechte hoek">rechte hoeken</a> op een <a href="/w/index.php?title=Meetlijn&action=edit&redlink=1" class="new" title="Meetlijn (de pagina bestaat niet)">meetlijn</a>. Het dubbele prisma zit in een houder waar een <a href="/wiki/Schietlood" title="Schietlood">schietlood</a> aan wordt gehangen dat in de vrije hand boven het hoekpunt van de uit te zetten hoek wordt gehouden. Door in het ene prisma te kijken naar een op de meetlijn geplaatste <a href="/wiki/Jalon_(landmeten)" title="Jalon (landmeten)">jalon</a> en een andere jalon zodanig op een lijn haaks op de meetlijn te plaatsen dat de reflectie van die jalon in het andere prisma in het verlengde komt van de jalon op de meetlijn, is de rechte hoek vastgelegd. </p> <div class="mw-heading mw-heading2"><h2 id="Dakkantprisma">Dakkantprisma</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pentaprisma&veaction=edit&section=1" title="Bewerk dit kopje: Dakkantprisma" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pentaprisma&action=edit&section=1" title="De broncode bewerken van de sectie: Dakkantprisma"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <table align="right"> <tbody><tr valign="top"> <td><figure typeof="mw:File/Thumb"><a href="/wiki/Bestand:Pentaprism.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Pentaprism.svg/150px-Pentaprism.svg.png" decoding="async" width="150" height="134" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Pentaprism.svg/225px-Pentaprism.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Pentaprism.svg/300px-Pentaprism.svg.png 2x" data-file-width="256" data-file-height="229" /></a><figcaption>Stralengang in een gewoon pentaprisma. In het uittredende beeld zijn links en rechts nog verwisseld.</figcaption></figure> </td> <td><figure typeof="mw:File/Thumb"><a href="/wiki/Bestand:Roof-pentaprism.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Roof-pentaprism.png/150px-Roof-pentaprism.png" decoding="async" width="150" height="134" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Roof-pentaprism.png/225px-Roof-pentaprism.png 1.5x, //upload.wikimedia.org/wikipedia/commons/c/c8/Roof-pentaprism.png 2x" data-file-width="300" data-file-height="267" /></a><figcaption>Stralengang in een dakkantpentaprisma. Hier heeft het <i>tweede</i> spiegelvlak een dakkantvorm. Hier zijn links en rechts niet langer verwisseld.</figcaption></figure> </td></tr> </tbody></table> <p>Het zogenoemde <b>dakkant-pentaprisma</b> of kort <b>dakkantprisma</b> is een variant van het pentaprisma. Hierbij is één spiegelend oppervlak (gewoonlijk datgene wat tegenover het intreevlak zit) vervangen door twee onderling loodrechte spiegelende vlakken. Hierdoor worden links en rechts verwisseld. Strikt wiskundig gezien is het dakkant-pentaprisma eigenlijk geen prisma meer. </p><p>Dit type prisma is vooral bekend van de <a href="/wiki/Zoeker" title="Zoeker">zoeker</a> van <a href="/wiki/Spiegelreflexcamera" title="Spiegelreflexcamera">spiegelreflexcamera</a>’s. Het licht van het horizontaal liggende matglas wordt hier door het dakkantprisma zodanig naar het <a href="/wiki/Oculair" title="Oculair">oculair</a> geleid, dat men het beeld rechtopstaand en niet-spiegelverkeerd ziet. Dat het beeld rechtop blijft staan (net als op het matglas) wordt bereikt door het pentaprisma zelf, terwijl het corrigeren van de verwisseling van links en rechts door het dakkantgedeelte wordt verzorgd. </p><p>De prisma’s liggen in deze afbeeldingen op hun kant; grond- en bovenvlak (die optisch geen rol spelen) staan verticaal. </p><p>De camerafabrikant <a href="/wiki/Pentax" title="Pentax">Asahi</a> heeft in de jaren 1950 dit dakkantprisma ingevoerd en is daarna eerst de naam "Asahi Pentax" en later "Pentax" gaan voeren, die afgeleid is van de term <i>penta</i>prisma. </p> <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 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.navigatie-tabel .links{text-align:unset}.mw-parser-output .navigatie-tabel .rechts{padding:unset}}</style><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style=""><tbody><tr><td class="links" style=""><b>Basisbegrippen:</b></td><td class="rechts"><a href="/wiki/Apertuur" title="Apertuur">Apertuur</a> · <a href="/wiki/Beeld_(optica)" title="Beeld (optica)">Beeld</a> · <a href="/wiki/Beeldvlak_(optica)" title="Beeldvlak (optica)">Beeldvlak</a> · <a href="/wiki/Brandpunt_(optica)" title="Brandpunt (optica)">Brandpunt</a> · <a href="/wiki/Brandpuntsafstand" title="Brandpuntsafstand">Brandpuntsafstand</a> · <a href="/wiki/Brekingsindex" title="Brekingsindex">Brekingsindex</a> · <a href="/wiki/Catadioptrisch_systeem" title="Catadioptrisch systeem">Catadioptrisch systeem</a> · <a href="/wiki/Concaaf" title="Concaaf">Concaaf</a> · <a href="/wiki/Contrast" title="Contrast">Contrast</a> · <a href="/wiki/Convergentie_en_divergentie" title="Convergentie en divergentie">Convergentie en divergentie</a> · <a href="/wiki/Convex" title="Convex">Convex</a> · <a href="/wiki/Diafragmagetal" title="Diafragmagetal">Diafragmagetal</a> · <a href="/wiki/Dioptrie" title="Dioptrie">Dioptrie</a> · <a href="/wiki/Fresnelvergelijkingen" title="Fresnelvergelijkingen">Fresnelvergelijkingen</a> · <a href="/wiki/Getal_van_Abbe" title="Getal van Abbe">Getal van Abbe</a> · <a href="/wiki/Glans" title="Glans">Glans</a> · <a href="/wiki/Hoekvergroting" title="Hoekvergroting">Hoekvergroting</a> · <a href="/wiki/Hoofdvlak" title="Hoofdvlak">Hoofdvlak</a> · <a href="/wiki/Intree-_en_uittreepupil" title="Intree- en uittreepupil">Intree- en uittreepupil</a> · <a href="/wiki/Lenzenformule" title="Lenzenformule">Lenzenformule</a> · <a href="/wiki/Lichtbreking" title="Lichtbreking">Lichtbreking</a> · <a href="/wiki/Openingshoek" title="Openingshoek">Openingshoek</a> · <a href="/wiki/Optische_as_(optica)" title="Optische as (optica)">Optische as</a> · <a href="/wiki/Parallax_(hoofdbetekenis)" class="mw-redirect" title="Parallax (hoofdbetekenis)">Parallax</a> · <a href="/wiki/Paraxiale_benadering" title="Paraxiale benadering">Paraxiale benadering</a> · <a href="/wiki/Reflectie_(straling)" title="Reflectie (straling)">Reflectie</a> · <a href="/wiki/Scheimpflug-principe" title="Scheimpflug-principe">Scheimpflug-principe</a> · <a href="/wiki/Spiegelbeeld_(reflectie)" title="Spiegelbeeld (reflectie)">Spiegelbeeld</a> · <a href="/wiki/Strehlverhouding" title="Strehlverhouding">Strehlverhouding</a> · <a href="/wiki/Totale_interne_reflectie" title="Totale interne reflectie">Totale interne reflectie</a> · <a href="/wiki/Virtueel_beeld" title="Virtueel beeld">Virtueel beeld</a> · <a href="/wiki/Wet_van_Snellius" title="Wet van Snellius">Wet van Snellius</a></td></tr><tr><td class="links"><b>Optische component:</b></td><td class="rechts"><a href="/wiki/Dunne_lens" title="Dunne lens">Dunne lens</a> · <a href="/wiki/Dikke_lens" title="Dikke lens">Dikke lens</a> · <a href="/wiki/Diafragma_(optica)" title="Diafragma (optica)">Diafragma</a> · <a href="/wiki/Flintglas" title="Flintglas">Flintglas</a> · <a href="/wiki/Fresnellens" title="Fresnellens">Fresnellens</a> · <a href="/wiki/Kroonglas_(optisch_glas)" title="Kroonglas (optisch glas)">Kroonglas</a> · <a href="/wiki/Lens_(optica)" title="Lens (optica)">Lens</a> · <a href="/wiki/Microlens_(optica)" title="Microlens (optica)">Microlens</a> · <a href="/wiki/Retroreflector" title="Retroreflector">Retroreflector</a> · <a href="/wiki/Spiegel_(optica)" title="Spiegel (optica)">Spiegel</a> · <a href="/wiki/Stralingsdeler" title="Stralingsdeler">Stralingsdeler</a></td></tr><tr><td class="links"><b>Asferische component:</b></td><td class="rechts"><a href="/wiki/Asferische_optiek" title="Asferische optiek">Asferische optiek</a> · <a href="/wiki/Cilindrische_lens" title="Cilindrische lens">Cilindrische lens</a> · <a href="/wiki/Lachspiegel" title="Lachspiegel">Lachspiegel</a> · <a href="/wiki/Paraboolreflector" title="Paraboolreflector">Paraboolreflector</a> · <a href="/wiki/Spiegeltelescoop#Schmidtcorrector" title="Spiegeltelescoop">Schmidtcorrector</a> · <a href="/wiki/Torische_lens" title="Torische lens">Torische lens</a></td></tr><tr><td class="links"><b>Lenzenstelsel:</b></td><td class="rechts"><a href="/wiki/Condensor_(optica)" title="Condensor (optica)">Condensor</a> · <a href="/wiki/Lenzenstelsel" title="Lenzenstelsel">Lenzenstelsel</a> · <a href="/wiki/Objectief_(optica)" title="Objectief (optica)">Objectief (optica)</a> · <a href="/wiki/Oculair" title="Oculair">Oculair</a> · <a href="/wiki/Retrofocus-_en_teleconstructie" title="Retrofocus- en teleconstructie">Retrofocus- en teleconstructie</a></td></tr><tr><td class="links"><b>Afbeeldingsfout:</b></td><td class="rechts"><a href="/wiki/Aberratie_(optica)" title="Aberratie (optica)">Afbeeldingsfouten</a> · <a href="/wiki/Astigmatisme_(optica)" title="Astigmatisme (optica)">Astigmatisme</a> · <a href="/wiki/Beeldveldwelving" title="Beeldveldwelving">Beeldveldwelving</a> · <a href="/wiki/Chromatische_aberratie" title="Chromatische aberratie">Chromatische aberratie</a> · <a href="/wiki/Coma_(optica)" title="Coma (optica)">Coma</a> · <a href="/wiki/Sferische_aberratie" title="Sferische aberratie">Sferische aberratie</a> · <a href="/wiki/Vertekening" title="Vertekening">Vertekening</a></td></tr><tr><td class="links"><span class="nowrap"><b>Toepassing (fotografie):</b></span></td><td class="rechts"><a href="/wiki/Fisheye-objectief" title="Fisheye-objectief">Fisheye-objectief</a> · <a href="/wiki/Fotografie" title="Fotografie">Fotografie</a> · <a href="/wiki/Groothoekobjectief" title="Groothoekobjectief">Groothoekobjectief</a> · <a href="/wiki/Macro-objectief" title="Macro-objectief">Macro-objectief</a> · <a class="mw-selflink selflink">Pentaprisma</a> · <a href="/wiki/Standaardobjectief" title="Standaardobjectief">Standaardobjectief</a> · <a href="/wiki/Teleconverter" title="Teleconverter">Teleconverter</a> · <a href="/wiki/Teleobjectief" title="Teleobjectief">Teleobjectief</a> · <a href="/wiki/Tussenring" title="Tussenring">Tussenring</a> · <a href="/wiki/Vergrotingsapparaat" title="Vergrotingsapparaat">Vergrotingsapparaat</a> · <a href="/wiki/Vignettering" title="Vignettering">Vignettering</a> · <a href="/wiki/Voorzetlens" title="Voorzetlens">Voorzetlens</a> · <a href="/wiki/Zoomobjectief" title="Zoomobjectief">Zoomobjectief</a></td></tr><tr><td class="links"><b>(bril e.d.):</b></td><td class="rechts"><a href="/wiki/Antireflectiecoating" title="Antireflectiecoating">Antireflectiecoating</a> · <a href="/wiki/Bifocaal_brillenglas" title="Bifocaal brillenglas">Bifocaal brillenglas</a> · <a href="/wiki/Beeldschermbril" title="Beeldschermbril">Beeldschermbril</a> · <a href="/wiki/Bril_(hoofdbetekenis)" class="mw-redirect" title="Bril (hoofdbetekenis)">Bril</a> · <a href="/wiki/Contactlens" title="Contactlens">Contactlens</a> · <a href="/wiki/Intraoculaire_lens" title="Intraoculaire lens">Intraoculaire lens</a> · <a href="/wiki/Multifocaal_brillenglas" title="Multifocaal brillenglas">Multifocaal brillenglas</a> · <a href="/wiki/Nabijheidspunt" title="Nabijheidspunt">Nabijheidspunt</a> · <a href="/wiki/Oogmeting" title="Oogmeting">Oogmeting</a> · <a href="/wiki/Refractor_(optometrie)" title="Refractor (optometrie)">Refractor (optometrie)</a> · <a href="/wiki/Vertepunt" title="Vertepunt">Vertepunt</a></td></tr><tr><td class="links"><b>(microscoop):</b></td><td class="rechts"><a href="/wiki/Microscoop" title="Microscoop">Microscoop</a> · <a href="/wiki/Numerieke_apertuur" title="Numerieke apertuur">Numerieke apertuur</a> · <a href="/wiki/Olie-immersie" title="Olie-immersie">Olie-immersie</a> · <a href="/wiki/Stereomicroscoop" title="Stereomicroscoop">Stereomicroscoop</a></td></tr><tr><td class="links"><b>(projector):</b></td><td class="rechts"><a href="/wiki/Eidophor" title="Eidophor">Eidophor</a> · <a href="/wiki/Episcoop" title="Episcoop">Episcoop</a> · <a href="/wiki/Diaprojector" title="Diaprojector">Diaprojector</a> · <a href="/wiki/Filmprojector" title="Filmprojector">Filmprojector</a> · <a href="/wiki/Overheadprojector" title="Overheadprojector">Overheadprojector</a> · <a href="/wiki/Toverlantaarn" title="Toverlantaarn">Toverlantaarn</a> · <a href="/wiki/Videoprojector" title="Videoprojector">Videoprojector</a></td></tr><tr><td class="links"><span class="nowrap"><b>(telescoop e.d.):</b></span></td><td class="rechts"><a href="/wiki/Actieve_optiek" title="Actieve optiek">Actieve optiek</a> · <a href="/wiki/Astrograaf" title="Astrograaf">Astrograaf</a> · <a href="/wiki/Dobsontelescoop" title="Dobsontelescoop">Dobsontelescoop</a> · <a href="/wiki/Hollandse_kijker" title="Hollandse kijker">Hollandse kijker</a> · <a href="/wiki/Montering_(telescoop)" title="Montering (telescoop)">Montering</a> · <a href="/wiki/Newtontelescoop" title="Newtontelescoop">Newtontelescoop</a> · <a href="/wiki/Nulcorrector" title="Nulcorrector">Nulcorrector</a> · <a href="/wiki/Refractor_(telescoop)" title="Refractor (telescoop)">Refractor (telescoop)</a> · <a href="/wiki/Spiegeltelescoop" title="Spiegeltelescoop">Spiegeltelescoop (alle types)</a> · <a href="/wiki/Telescoop_(optica)" title="Telescoop (optica)">Telescoop</a> · <a href="/wiki/Verrekijker_(hoofdbetekenis)" class="mw-redirect" title="Verrekijker (hoofdbetekenis)">Verrekijker</a> · <a href="/wiki/Volgster" title="Volgster">Volgster</a></td></tr><tr><td class="links"><b>Algemene toepassing:</b></td><td class="rechts"><a href="/wiki/Achteruitkijkspiegel" title="Achteruitkijkspiegel">Achteruitkijkspiegel</a> · <a href="/wiki/Adaptieve_optiek" title="Adaptieve optiek">Adaptieve optiek</a> · <a href="/wiki/Barlowlens" title="Barlowlens">Barlowlens</a> · <a href="/wiki/Kaleidoscoop" class="mw-redirect" title="Kaleidoscoop">Kaleidoscoop</a> · <a href="/wiki/Eenrichtingsspiegel" title="Eenrichtingsspiegel">Eenrichtingsspiegel</a> · <a href="/wiki/Immersielithografie" title="Immersielithografie">Immersielithografie</a> · <a href="/wiki/Loep" title="Loep">Loep</a> · <a href="/wiki/Periscoop" title="Periscoop">Periscoop</a> · <a href="/wiki/Theodoliet" title="Theodoliet">Theodoliet</a> · <a href="/wiki/Waterpas_(landmeetkunde)" title="Waterpas (landmeetkunde)">Waterpasinstrument</a></td></tr></tbody></table> </div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Pentaprisma&oldid=53677485">https://nl.wikipedia.org/w/index.php?title=Pentaprisma&oldid=53677485</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" 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