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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 134

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 134 — DFFare equal. Therefore the angles GPD and DFF are equal, andtherefore FF and PQ are parallel. Therefore the triangle DFFis also described as required. Next (Fig. 2), let the two given points P and Q be within thegiven circle. ^ ^A Produce PQ indefinitely both waysto meet the circle in H and K. On… … 106 EXERCISES ON EUCLID [143. ing the circle at C and F. Join CQ, FQ and produce these linesto meet the circle again in A and D. Join AP and DP, meetingthe circle again in B and E, and join BC, FF. The two triangles ABO and DEF are the required ones. Because PQ . QG = AQ . #(7 (constr.), therefore…

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