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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. "
Elements of Arithmetic, Algebra, and Geometry - Strona 140
autor: George Lees - 1826
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - Liczba stron: 466
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - Liczba stron: 520
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - Liczba stron: 520
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - Liczba stron: 351
...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....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - Liczba stron: 440
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - Liczba stron: 311
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - Liczba stron: 333
...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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - Liczba stron: 494
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - Liczba stron: 372
...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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