... and thence, by observing the time of year when the noon-altitude of the sun was greatest and least, he got the solstices;thence, by taking half the sum of the noon-altitudes of the sun at the two ... so proved that the [height of the] pyramid was to the [length of the] stick as the shadow of the pyramid to the shadow of the stick.” It would seem that the theorem was unknown to the Egyptians,and ... found the inclination of the equator to the horizon(which determined the altitude of the place), and, by taking half theirdifference, he found the inclination of the ecliptic to the equator. Thereseems...