Books Books 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 ## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 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's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 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... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 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... ## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 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,... ## The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 309 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.)... ## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 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... ## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 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... ## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...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... ## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 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... 