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 192
cumscribed to thecircle. [Let ABO be an equilateral triangle inscribed in a given circle ; atA, B, 0 draw tangents. Let the tangents at B, 0 meet in A; thoseat 0, A in B; and those at A, B in 0. Then ABO is an equi-lateral A described about the circle, and it is easy to prove that theA« AOB, BAO,… … Construction. Bisect the angles ABC, ACB by the straightlines BIj CI, meeting one another at the point I; [I. 9. and from I draw ID, IE, IF perpendiculars to BC, CA, AB. [I. 12.Proof. In the triangles DBI, FBI, ( the A.DBI = the ^FBI, [Construction. because ^ and the right z-BDI = the right ^BFI,I…
Euclid's Elements · Geometry · Mathematics, Greek
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