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" ELF. Join BC, EF ; and because the circles ABC, DEF are equal, the straight lines drawn from their centres are equal: therefore the two sides BG, GC, are equal to the two EH, HF ; and the angle at G is equal to the angle at H ; therefore the base BC is... "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Page 81
by Robert Simson - 1804
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...ferences. • Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centers, and BAC, EDF at their circumferences, the circumference BKC...centers are equal ; therefore the two fides BG; GC, arc equal to the two EH, HF; and the angle at G is equal to the angle at H; therefore the bafe BC is...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...drawn from their centres will be equal : Therefore the two fides BG, G c are equal to the two fides EH, HF, and the angle at G is equal to the angle at H : Therefore [by 4. i.] the bi,fe B c is equal to the bafe B F. And becaufe the angle at A is equal to the angle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...circumferences. Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centers, and BAC, EDF at their circumferences : The circumference BKC...drawn from their centers are equal : therefore the two ftdes BG, GC, are equal to the two EH, HF ; and the angle at G is equal to the angle at II ; therefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...circumferences. Let ABC, DEF be equal circles, and the equal angles BGC, EHFat their centers, and BAC, EDF at their circumferences. the circumference BKC...fides BG, GC, are equal to the two EH, HF ; and the angte 'CE at G is equal to the angle at H ; therefore the bafe BC is equal ' >, 4- <• to the bafe...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...circumferences. Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centres, and BAC, EDF at their circumferences : The circumference BKC...DEF are equal, the ftraight lines drawn from their centres are equal : Theretore the two fides BG, GC, are equal to the two EH, I IF ; and the angle at...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...circumferences. .-'let Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centres, and BAC, EDF at their circumferences : the circumference BKC...Join BC, EF< and becaufe the circles ABC, DEF are eqtial, the ftraXght Ijnes dijwvn from, their centres are «qual: therefore the two fides, ^G, GC,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...and becaufe the circles ABC, DEF are equal, *— '"V^^ the flraight lines drawn from their centres are equal : Therefore the two fides BG, GC are equal...angle at G is equal to the angle at H ; therefore the a 4. i. bafe BC is equal a to the bafe EF : And becaufe the angle at A lIn.def-3. 's equal to the angle...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...Join BC, EF ; and becaufe th$ circles ABC, DEF are equal, the ftraight lines drawn from their centres are equal: therefore the two fides BG, GC, are equal...HF; and the angle at G is equal to the angle at H j there • 4.i. fore the bafe BC is equal » to the bafe EF : and becaufe the angle at A is equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...ABC, DEF are equal, the straight lines drawn from their centres are equal j therefore the two sides BG, GC are equal to the two EH, HF ; and the angle at G is equal to the angle at H ; therea 4. 1. fore the base BC is equal* to the base EF. Because the angle at A is equal to the angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...circumferences. Let ABC, DEF be equal circles, and the equal angles BGC, EHF at their centres, and BAC, EDF at their circumferences : the circumference BKC...is equal to the circumference ELF. Join BC, EF; and because the circles ABC, DEF are equal, the straight lines drawn from their centres are equal : therefore...
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