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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 - Geometry - 1810 - 518 pages
...a right angle, g 13. 1. and the adjacent angle AGB must be greater than a right angles. But it was proved that the angle AGB is equal to the angle at F ; theix-fure the angle at F is greater than a right angle : but by the hypothesis, it is less than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...a right angle, and the adjacent angle •13 1. AGB must be greater than a right angle K. 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 hypothesis, it is less than...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 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 bythey ari equal ; And tlic angle at A is equal to the angle at D ; wherefore the remaining...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...ade Cor. Def. jacent angle AGBemust BO _ 7' be greater than a right angle6. But AGB was proved to be equal to the angle at F, therefore, the angle at F is greater than a right angle. But, by supposition, 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 ...

Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...greater than a right angle (13.1.) But it was proved that the angle AGB is equal to the angle atF; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than aright angle; whieh is absurd. Therefore the angles ABC, D .:iF...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...angle ; * 1s. 1. and therefore the adjacent 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 hypothes1s, 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 ...

Euclid, Robert Simson - Geometry - 1829 - 516 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 F ; therefore ths angle at F is greater than a right angle : but by the hy* Sec Not*. I pothesis, it is less than...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...right angle, and the adjacent angle AGB must be greater than a right angle (1& 1.). But it was prored that the angle AGB is equal to the angle at F ; therefore the angle at F is greater than a right angle : Bnt by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...than a right angle ; and there• 13. 1. fore the adjacent angle AGB must be greater • than a right 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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