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The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)

Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 350

An illustration from The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books;, 1903, leaf 350
BC is thus afixed point on OG produced ; similarly the perp^^ from B on CA, andfrom C on AB pass through this same fixed point 0; Hence the three perpendiculars from A, B, and C, upon the oppositesides meet in a point 0 which lies on OG produced, and is such thatG0 = 2 0G. This point 0 is called… … Let ABC be a triangle ; bisect the angles at B and C by straightlines meeting at I; join AI:then AI shall bisect the angle at A. From I draw ID perpendicular to BC, IE perpendicular to CA, andIF perpendicular to AB. In the A«BIF, BID we have BI common, zDBI=:zFBI, and thert. zBDI^rt. zBFI;…

Euclid's Elements · Geometry · Mathematics, Greek

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