File:Bettini(1660)-(2).svg

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Summary

Bettini method (1660) The Jesuit<a href="https://en.wikipedia.org/wiki/Bettinus" class="extiw" title="w:Bettinus">Mario Bettini</a> penned a method which was posthumously published in the book Recreationum Mathematicarum Apiaria Novissima 1660.

  • Draw the gnonomic triangle with the hypotenuse against the meridian line, and φ to the bottom, C. The other point call M, the right angle call G.
  • A horizontal line is drawn through M, this is the equinoctial
  • A circle centred an M with a radius MG is drawn. G2 and G3 are the intersections of the circle and meridian.
  • In the top quadrants, points are marked each 30°. Two are named P, Q.
  • Construction lines are drawn from G2 and G3 through P and Q- the intersections with the equinoctial are marked.
  • To finish the hourlines are drawn through these points from C, and the dial squared off.

The afternoon dial is a reflection of this

Licensing

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File history

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Date/TimeThumbnailDimensionsUserComment
current19:02, 17 January 2017Thumbnail for version as of 19:02, 17 January 20171,576 × 975 (42 KB)127.0.0.1 (talk)<p>Bettini method (1660) The Jesuit<a href="https://en.wikipedia.org/wiki/Bettinus" class="extiw" title="w:Bettinus">Mario Bettini</a> penned a method which was posthumously published in the book <i>Recreationum Mathematicarum Apiaria Novissima</i> 1660. </p> <ul> <li>Draw the gnonomic triangle with the hypotenuse against the <i>meridian</i> line, and φ to the bottom, C. The other point call M, the right angle call G.</li> <li>A horizontal line is drawn through M, this is the <i>equinoctial</i> </li> <li>A circle centred an M with a radius MG is drawn. G2 and G3 are the intersections of the circle and meridian.</li> <li>In the top quadrants, points are marked each 30°. Two are named P, Q. </li> <li>Construction lines are drawn from G2 and G3 through P and Q- the intersections with the equinoctial are marked.</li> <li>To finish the hourlines are drawn through these points from C, and the dial squared off.</li> </ul> <p>The afternoon dial is a reflection of this </p>
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