 | Henry Barnard - Military education - 1862 - 410 pages
...5, 10, 20, 40 sides. Eegular polygons of the same number of sides are similar, and their perimeters are to each other as the radii of the circles to which they are inscribed or circumscribed.—The circumferences of circles are to each other as their radii. To... | |
 | John Harris - Circle-squaring - 1875 - 294 pages
...one-tenth less magnitude than the similar greater arc BM.. (4th axiom). But since the sines of similar arcs are to each other as the radii of the circles to which they respectively belong, the sine of the arc B. n. is one-tenth less than the sine of the arc BM Therefore... | |
 | John Harris - Circle-squaring - 1875 - 296 pages
...one-tenth less magnitude than the similar greater arc BM.. (4th axiom). But since the sines of similar ares are to each other as the radii of the circles to which they respectively belong, the sine of the arc B. n. is one- tenth less than the sine of the arc BM Therefore... | |
 | Henry Barnard - 1862 - 160 pages
...of 15, 30, 60 sides. Regular polygons of the same number of sides are similar, and their perimeters are to each other as the radii of the circles to which they are inscribed or circumscribed.— The circumferences of circles are to each other as their radii.... | |
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ABCD, abed, become similar curves, in falling down which no velocity is lost. Suppose the curves to be circular arcs; then, since similar circular arcs are to each other as the radii of the circles to which they belong, the times of descending through... 
