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 72
s greater than one more remote; and the greater isnearer to the centre than the less. Let ABCD be a circle, of which the di-ameter is AD, and the centre E; and letBC be nearer to the centre than FG; ADis greater than any straight line BC whichis not a diameter, and BC greater than FG. From the… … ys ELEMENTS And, because BC is nearer to the centre than FG, EH is less(4. Def. 3.) than EK: But, as was demonstrated in the preecdiiia:;BC is double of BH and FG double of FK, and the squares of Elf,HB are equal to the squares of EK, KF, of which the square of EHis less than the square of EK,…
Euclid's Elements · Geometry · Trigonometry
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