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 102
AD : DC, that is, DC is a fourth proportional to three given lines, therefore(VI. 12) DC is a known line. Hence, the required locus is acircle with centre D and radius equal to a known line. 109.] AND IX MODERN GEOMETRY. 73 108. One vertex of a rectangle turns round a fixed pointand the two… … Since (11, 12) the diagonals of a rectangle bisect one anotherand are equal, AE, EC, BE, ED are equal, and because OE isdrawn from the centre to the middle point of DB, OE is perpen-dicular to DB. The sum of the squares on OA and 00 is equal to twice thesquares on OE and EA or ED (41), that is, to…
Geometry
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