Bettini method (1660)
The JesuitMario Bettini 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.
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