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#CircularArcs

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OPENGIS.ch<p>🎉 Part 1 of our <a href="https://fosstodon.org/tags/CircularArcs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CircularArcs</span></a> crowdfunding is fully funded – 112K CHF raised!<br>We’re very close to securing Part 2 too – just 13K CHF to go to bring full arc support into <a href="https://fosstodon.org/tags/QGIS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QGIS</span></a>!</p><p>⏳ We've extended the campaign until the end of July!<br>Join in 👉 <a href="https://buff.ly/lO4z17a" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">buff.ly/lO4z17a</span><span class="invisible"></span></a></p><p><a href="https://fosstodon.org/tags/GEOS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GEOS</span></a> <a href="https://fosstodon.org/tags/PostGIS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PostGIS</span></a> <span class="h-card" translate="no"><a href="https://fosstodon.org/@qgis" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>qgis</span></a></span></p>
Khurram Wadee ✅<p>You can also explore <a href="https://mastodon.org.uk/tags/non" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>non</span></a>-Euclidean space and here is the same action in <a href="https://mastodon.org.uk/tags/HyperbolicSpace" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>HyperbolicSpace</span></a> (here in a <a href="https://mastodon.org.uk/tags/Poincar%C3%A9Disc" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PoincaréDisc</span></a>). <a href="https://mastodon.org.uk/tags/StraightLines" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>StraightLines</span></a> are replaced by <a href="https://mastodon.org.uk/tags/GeodesicLines" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GeodesicLines</span></a> which look like <a href="https://mastodon.org.uk/tags/CircularArcs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CircularArcs</span></a> which intersect the <a href="https://mastodon.org.uk/tags/disc" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>disc</span></a> at <a href="https://mastodon.org.uk/tags/RightAngles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>RightAngles</span></a>. Circles are transformed to circles but their hyperbolic centres are not at their Euclidean centres.</p><p>Repeating the construction for Euclidean space, you can see that the parallel lines diverge.</p><p><a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.org.uk/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geometry</span></a> <a href="https://mastodon.org.uk/tags/NonEucldeanGeometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>NonEucldeanGeometry</span></a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FreeSoftware</span></a></p>
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