 | Euclid, John Keill - Geometry - 1723 - 436 pages
...Right Angle; and confequently, AGBis greater than a Right Angle. But the Angle AGB has been proved equal to the Angle at F ; therefore the Angle at F, is greater than a ... Right Angle: But (by the Hyp.) it is not greater, lince C is not greater than a Right Angle, which is abfurd. Wherefore... | |
 | Euclid, John Keill - Geometry - 1733 - 446 pages
...confequently, AGB is greater than a Right Angle. But the Angle AGB has been proved equal to the Angla at F ; therefore the Angle at F, is greater than a Right Angle: But (by the Hyp.) it is not greater, fince G is riot greater than a Right Angle, which is abfurd. Wherefore... | |
 | Robert Simson - Trigonometry - 1762 - 488 pages
...right angle, and the adjacent angle AGB muft be greater t- f3- «• than a right angle g. But it was proved that the angle AGB is equal to the angle at...the angle at F is greater than a right angle. but, by the Hypothefis, it is lefs than a right angle ; which is abfurd. Therefore the angles ABC, DEF are... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...lefs than a right angle, and the adjacent angle AGB muft be greater than a right angle 3. But it was proved that the angle AGB is equal to the angle at...the angle at F is greater than a right angle : But, by the hypothefis, it is Iefs than a right angle i which is abfurd. Therefore fore the angles ABC,... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...adjacent to it viz. AGB is (by 13. i.) greater than a right angle ; and it has been demonftrated to be equal to the angle at F ; therefore the angle at F...fuppofed to be lefs than a right angle; which is abfurd: wherefore the angle ABC is not unequal to the angle DEF, therefore it is equal : and alfo (by fupp.)... | |
 | Euclid - 1781 - 552 pages
...a right angle, and the 8 i3. r. adjacent angle AGB muft be greater than a right angle*. But it was proved that the angle AGB is equal to the angle at F j therefore the angle at F is greater than a right angle : But, by the hypothefis, itislels than a... | |
 | John Playfair - Euclid's Elements - 1795 - 462 pages
...3 and Book VI. an<i the adjacent angle AGB muft be greater than a right 'g ' r angle g. But it was proved that the angle AGB is equal to the angle at...the angle at F is greater than a right angle : But, by the hypothefis, it is lefs than a right angle ; which is abfurd. . Therefore the angles ABC, DEF... | |
 | Robert Simson - Trigonometry - 1804 - 528 pages
...right angle, and the adjacent angle AGB muft be greater than a right j. 13. i. angle s. But it was proved that the angle AGB is equal to the angle at...the angle at F is greater than a right angle» but, by the Hypothefis, it is lefs tlun a right angle^ which is ab» furd. Therefore the angles ABC, DEF... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the adjacent angle AGB irmft ' /~~~' be greater than a right angle g. But it was proved that the B ' angle AGB is equal to the angle at F ; therefore the angle 2.1 F is greater than a right angle : But, by the hypothefis, " it is lefs than a right angle; which... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...therefore the adjacent angle AGB v^*v"w must be greater than a right angled But it was proved that g 13. 1. the angle AGB is equal to the angle at F ; therefore...the angle at F is greater than a right angle. But, by hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not... | |
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But it was proved that the angle AGB is equal to the angle at F ; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than a right angle ; which is absurd. 
