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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 26

An illustration from Elements of geometry and trigonometry, 1835, leaf 26
EGB-f-0GB is equal to two right angles ; hence,GOD-f 0GB is equal to two right angles; therefore, CD, AB,are parallel. PROPOSITION XX. THEOREM. Jf a straight line meet two parallel straight lines, the sum of the interior angles on the same sideioill he equal to two right angles. Let the parallels… … BOOK 1. 27 ri^lit angles; then III and (T) will he parallel (Prop. XIX.),and liuncc >vc simll have two lines (ÎB, Gil, drawn throughthe same j)oint (t and parallel to CD. whieh is impossible (Ax.!•.».): hyiee, GB and Cill should eoineide, and OGB + OOD isecjual to two right angles. In the same…

Trigonometry · Geometry

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