Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 332
s two other straight linesso as to make the sum of the two interior angles on one sideof it less than two right angles, then these straight lines ifcontinually produced will meet upon that side on which these * Euclids Elements, book i, prop. 32. t Eudemus is our authority for this; see Proclus,… … Take any triangle ABC. Produce the side BA to any distanceAH, and through A draw a line AK parallel to BC. On theassumption that his postulate is true, Euclid showed (Euc. I. 29)that the angle ABC must be equal to the angle HAK, and theangle ACB to the angle KAC. Hence the sum of the threeangles of…
Geometry · Cryptography · Ciphers
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