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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 179

An illustration from 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, leaf 179
it, and AC, D F join them towardsthe same parts; and therefore (33. 1.) AC is equal and parallel to.DF. And because AB, BC are equal to DE, EF, and the base ACto the base DF; the angle AB^ is equal (8. 1.) to the angle DEF.Therefore, if two straight lines, &c. Q. E. D. PROP. X. PROB. To draw a… … ©F GEOMETRY. BOOK II. 179 in the plane d aw any strais^ht linr BC, an from the point A draw(l2. 1.) AD perppnrlicular to BC. If then AD he also perpt-ndieu-lar to the plane BH, the thin^ required is alreadv Hone; but if itbe not, from lb* point D draw ^ /[\(11. 1.), in the plane BH, thestraight…

Euclid's Elements · Geometry · Trigonometry

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