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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. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Page 248
by Euclid, Edmund Stone - 1765 - 464 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pages
...a right angle, and the adjacent angle AGB must be greater g 13. 1. than a right angles. 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, Book...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...adjacent angle AGB must be greater than a right angle (6. 1.). But it was proved that the angle AG B 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. Therefore the angles ABC, DEF are...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 311 pages
...must be greater than a right angle *-. "^^Tr*" But it was proved, that the angle AGB is equal to the 5 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. Therefore the angles ABC, DEF are...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...than a right angle, and the adjacent angle AGB must be greater than a right angle (1. 13). 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 hypothesis, it is less than a right angle ; which is absurd ; therefore the angles ABC, DEF,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...angle ; and therefore the adja*13.i. cent angle AGB must be greater* than a right angle ; 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 351 pages
...angle, and therefore the adjacent angle AGB * 13.1. must be greater* than a right angle: 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 this is absurd, because, by hypothesis, F is less than a right angle: therefore the angles ABC, DEF...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...than a right angle, and the adjacent angle AGB must be greater than a right angle (13. 1.). 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...than a right angle, and the adjacent angle AGB must be greater than a right angle (13. 1.). 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 199 pages
...right angle, and the adjacent angle AGB must be greater than a • 13. i. right angle*. 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...angle ; and therefore the adjacent angle A GB must be greater than a right angle ; (i. 13.) 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 hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are...
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