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 410
are the internal centres of similitude ofthe in-circle and each of the escribed circles. 6. The points in which the exterior bisectors of the angles meetthe opposite sides are the external centres of similitude of the escribedcircles taken in pairs. 7. The circle of similitude of two circles is… … Let ABC be the given A, and suppose DEFG the required square.Draw AH perpendicular to BC, and AK parallel to BC; and let BFproduced meet AK at K. Then BC : GF :: BA : AK, and BG : GD :: BA : AH ; [VL 4. butGF = GD; {Hypothesis. :. AH = AK. Hence we have the following synthetical solution. Draw AK…
Euclid's Elements · Geometry · Mathematics, Greek
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