 | Robert Simson - Trigonometry - 1762 - 488 pages
...EH is lefs than EK ; therefore the fquare of BH is greater than the fquare of FK, and the ftraight line BH greater than FK; and therefore BC is greater...Next, let BC be greater than FG ; BC is nearer to the center than FG, that is, the fame conftruction being made, EH is lefs than EK. becaufe BC is greater... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...therefore the fquare of BH is greater than Ac fquare of FK, and the ftraight Iine BH greater than FK; iad therefore BC is greater than FG. Next, Let BC be greater than FG ; BC is nearer to the center than FG, that is, the fame conltruct'on being made, EM is lefs than EK : Becaufe BC is greater... | |
 | Euclid - 1781 - 552 pages
...EH is lefs than EK ; therefore the fquare of BH is greater than the fquare of FK, and th: ftraight line BH greater than FK ; and therefore BC is greater...; BC is nearer to the centre than FG, that is, the fame conftru&ion being made, EH is lefs than EK : Becaufe BC is greater than FG, BH likewifc is ..'-eater... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...EH is lefs than EK ; therefore the fquare of BH is" greater than the fquare of FK, and the ftraight line BH greater than FK; and therefore BC is greater...; BC is nearer to the centre than FG, that is, the fame conftruflion being made, EH is lefs than EK: Becaufe BC is greater than FG, BH likewife i7. i.... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...EH is lefs than EK ; therefore the fquare of BH is greater than the fquare of FK, and the ftraight line BH greater than FK ; and therefore BC is greater...than FG ; BC is nearer to the centre than FG ; that ia", the farrre conftruftion being madi, EH EH is lefs than EK : Becaufe BC is greater "than FG, BH... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...EH is lefs than EK ; therefore the fquare of BH is greater than the fquare of FK, and the ftraight line BH greater than FK; and therefore BC is greater...Next, let BC be greater than FG ; BC is nearer to the center than FG, that is, the fame conftructio« being made, EH is lefs than EK. becaufe BC is greater... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...square of BH is greater than the square of FK ; therefore the straight line BH is greater than FK ; therefore BC is greater than FG. Next, let BC be greater...FG ; BC is nearer to the centre than FG ; that is, EH is less than EK. Because BC is greater than FG, BH is greater than KF. But the squares of BH, HE... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...KF, of which the square of EH is less than the square of EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK, and the straight Jine BH greater than FK ; and therefore BC is greater than FG. Next, Let BC be greater than FG ; BC... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...of FK, KE ; whence, the square of EH being less than the square of FK, because EH is less than EK, the square of BH is greater than the square of FK, and, of course, BIT greater than FK ; whence, BC, FG being doubles of BH, FK [3. 3], the right line BC is... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...KF, of which the square of Eli is less than the square of EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK,...greater than FG. Next, let BC be greater than FG; EC is nearer to the centre than FG, that is, the same construction being made, EH is less than EK :... | |
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EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK, and the straight line BH greater than FK, and therefore BC is greater than FG. 
