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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)

Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 37

An illustration from Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes, 1881, leaf 37
L s. Produce BC to D. Then z ACB is jrreater than / ABC. I. H,. .-. z s .4CD, ACB are together greater than z ^ ABC, ACB. But isACD, ACB together=two rt. z s. I. U .-. L sABC, ACB are together less than two rt. z s.Similarly it may be shewn that LsABCy BAC avA h1s«>that z sBAC, ACB are together… … the angles MOP ana* XPO are together less than two rightangles. The Sixth Postulate asserts that if a line DE meeting twoother lines BAT, CN makes MOP, NPO, the two interior Book I.] 1 R 0P0SI77U.\ XI J11. 31 liiigles on the same side of it, together less than two right angles, BM and CN shall meet…

Geometry · Geometry, Plane

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