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 430
ary Euclidean quadrilateral. Let ADand BC be produced to meet in P, and let AB and CD meet in Q.The figure is now said to be a complete quadrilateral, since it gives allthe points of intersection of the four lines AB, BC, CD, DA producedindefinitely. The straight line PQ is called the third… … Complete the parallelograms QASC, QBTD.Let AS, DT meet BP in U and V.Then PC : CU :: PD : DA, since CD, UA are l|i,i.e. .; PV : VB, since VD, BA are li^;.-. PC : Py :: CU : VB, :: CS : VT, since CUS, VBT are similar a ^;.. PST is a straight line ;.*. the middle points of QP, QS, QT are in a…
Euclid's Elements · Geometry · Mathematics, Greek
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