Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 144
. PROB, To produce a given straight line, so that the rectanglecontained by the segments between the extremities of thegiven line, and the point to which it is produced, may beequal to a given space. Let AB be the given straight line, and let the square upon thegiven straight line C be the space to… … 14^ ELEMENTS DE describe a circle meeting ABjpro-duced in G. And because AB isbisected in D, and produced to G,(6. 2.) AG.GB+DB==DG>=DE^ But (47. 1.) DE» = DB2+BE%therefore AG.GB -f DB^ = DB^ +BE» and AG.GB=BE. Now, BE=C; wherefore the straight line ABis produced to G, so that the rectan-gle…
Euclid's Elements · Geometry · Trigonometry
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