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 288
ruction of it, and thi»is what Euclid has neglected to doin the present instance. Thede-,feet may easily b^ supplied, and Dr. Simson himself has done it ineffect in his note on this proposition, though he denies it to be neces-sary. Because that of the three straight lines DF,FG, GH, any two… … AB- c- ihe like reason^ (he circle described from the centre G at the distancdGH, must meet DG between Dand G, and therefore, the one of thesecircles cannot be wholly within the otier. Neither ean the one bewholly without the other, because DF and GH are greater th^nFG;.tl^e two Qircles must…
Euclid's Elements · Geometry · Trigonometry
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