Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 76
oint; anddraw CI. Then the arcs AB^ AI^ will be to each otheras two whole numbers, and by the preceding theorem, weshall have, angle ACB : angle ACI : : arc AB : arc AI.Comparing the two proportions with each other, we seethat the antecedents in each are the same: hence, the cod-sequents are… … 72 GEOMETEY. ungle ACT: on tlip contrarv, however, i: is less; hence,the aiagie ACB cannot be to the angle ACD as the arc ABis to an arc greater than AD. By a process of reasoning entirely similar, it may beshown that the fourth term of the proportion cannot beess than AD\ hence, it is AD itself;…
Geometry · Trigonometry
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