Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 69
l FGIH be therequired square. For,.since ACDG is a parallelogram, the opposite sides art-:equal (Bk. I. Th. xxiii): and since the angle at C is a right angleall the other angles are right angles (Bk. I. Th. xxiii.Cor. 1):and as the same may be proved of each of the figures CI, CHand CF, it follows… … GEOMETRY. BOOK III. OF RATIOS \ N D PROPORTIONS.DEFINITIONS. 1. Ratio is the quotient arising from dividing one quantityby another quantity of the same kind. Thus, if the numbers3 and 6 have the same unit, the ratio of 3 to 6 will he.expressed by 3 And in general, if A and B represent quantities of…
Geometry · Plane trigonometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-145-81.webp)
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-250-156.webp)