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 143
R. Of all the rectangles contained by the segments of agiven straight line, the greatest is the square which is de-scribed on half the line. Lot AB be a given straight lino, which is bisected in C; and let D he any point in it, tbe square on AC is t -; =-—- greater than the rectangle AD, DB. ^ C D… … OF GEOMETRY. BOOK Vt. 14.3 (5. 2.). The square of AC is therefore greater thau the rectangleAD.DB. Therefore, &c. Q.E. D. PROP. XXVIII. PROB. To divide a given straight line, so that th^ rectanglecontained by its segments may be equal to a given space ;but that space must not be greater thaii…
Euclid's Elements · Geometry · Trigonometry
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
