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" To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third, (i. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Page 19
by Euclid, Thomas Tate - 1849 - 108 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...angle CEB of the triangle ABE is greater than BAC. and it has been demonftrated that the angle BDC is greater than the angle CEB ; much more then is...the angle BAC. therefore if from the ends of, &c. Q._E. D. PROP. XXII. PROB, HP O make a triangle of which the fides fhall be equal to three given ftraight...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...angle CEB of the triangle ABE is greater than B AC; and it has been demonftrated that the angle BDC is greater than the angle CEB ; much more then is...the angle BAC. Therefore, if from the ends of, &c. Q^E D. see NJ a ii. i. PROP. XXIL\ P ROB. , TO make a triangle of which the fides lhall be equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...angle CEB of the triangle AliE is greater than BAC. and it has been demonftrated ihat the angle BDC is greater than the angle .CEB ; much more then is...therefore if from the ends of, &c. Q^ED PROP. XXII. PRO B. TO make a triangle of which the fides fJiall be equal sec !, to three given ftraight lines ;...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...exterior angle CEBof the triangle ABE is greater than BAC; and it has been demonftrated that the angle BDC is greater than the angle CEB; much more then is the...Therefore, if from the ends of, &c. Q^ED PROP. XXII. PRO B. TO make a triangle of which the fides fhall be equal see N. to three given ftraight lines ,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...of the triangle ABE is greater than BAC ; BOOK. I. and it has been demonftrated, that the angle BDC is greater than the angle CEB ; much more then is...PROP. XXII. PROB. TO make a triangle of which the fides fhall be See N. equal to three given ftraight lines, but any two whatever of thefe mutt be greater...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...angle CEB of the triangle ABE is greater than B AC. and it has been demonftrated that the angle BDC is greater than the angle CEB ; much more then is...the angle BAC. therefore if from the ends of, &c. Q^E. JX PROP. XXII. PROB. TO make a triangle of which the fides fhall be equal SceNto three given ftraight...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the triangle ABE is greater thaa BAC ; and it has been demonflmed that the angle C 4 BDC Book I. BDC is greater than the angle CEB ; much more then is...the angle BAC. Therefore, if from the ends of, &c. Q^ E. D, PROP. XXII. PROB. TO conftruft a triangle of which the fides fhall be equal to three given...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is...PROB. TO make a triangle of which the sides shall be See v. equal to three given straight lines, but any two whatever of these must be greater than the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle Book I. BDC is greater than the angle CEB ; much more then is the angle BDC greater than 'the angle BAG. Therefore, if from the ends of, &c. QED a 20. 1. b 3. Post. c 11. Def. PROP. XXII. PROB. TO construct...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...exterior angle CEB of the triangle ABE is greater than BAC; and h has been demonstrated that the angle BDC is greater than the angle CEB; much more then is the...angle BAC. Therefore, if from the ends of, &c. QED Book I. PROP. XXII. PROB. TO make a triangle of which the sides shall be See Note. equal to three given...
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