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" The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, the angles -upon the other side of the base shall be equal. "
An Introduction to Logic - Page 505
by Horace William Brindley Joseph - 1906 - 564 pages
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. T1IEOR. THE angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC...
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Works, Volume 1, Part 1

Aristotle - 1812
...This, however, will become more manifest in diagrams. For instance, [let it be proposed to demonstrate] that the angles at the base of an isosceles triangle are equal *. Let the lines A, B, be drawn to the centre of a circle. If, therefore, he assumes that the angle...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 346 pages
...the acute angles be subtracted from 90% the remainder will be the other acute angle. r 8. The angles at the base of an isosceles triangle are equal to one another. 9. If one side of a triangle be produced, the external angle will be equal to the sum of the two internal...
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The Works of Thomas Reid: With Account of His Life and Writings, Volume 3

Thomas Reid - Philosophy - 1815
...; and that thrce is the half of six. This immediate perception is immediate and intuitive judgment. That the angles at the base of an isosceles triangle are equal, I perccive by a process of reasoning, in which it will be acknowledged there is judgment. Another way...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 pages
...are opposite, shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let...
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The History of Philosophy: From the Earliest Times to the ..., Volume 1

William Enfield - 1819
...elements of Euclid ; particularly the following theorems ; that a circle is bisected by its diameter ; that the angles at the base of an isosceles triangle are equal ; that the vertical angles of two intersecting lines are equal ; that, if two angles and one side of...
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The Youth's instructer [sic] and guardian

1854
...theorems, subsequently I 2 incorporated with the immortal work of Euclid, discover, ii by him : that the angles at the base of an isosceles triangle are equal ; that a circle is bisected by its diameter; that the vertical angles of two intersecting- lines are...
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Encyclopaedia Britannica: Or, A Dictionary of Arts, Sciences, and ..., Volume 14

Encyclopedias and dictionaries - 1823
...that any particular action ist, and yet fit for no particular purpose, is just as absurd as to му that the angles at the base of an isosceles triangle are equal but neither to one another, nor to any other angles ; and we may with no less propriety talk, of the...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823
...or legs equal. According to the fifth proposition of the first book of Euclid's elements, the angles at the base of an isosceles triangle are equal to one another. ISOSTE'MONES (Bot.) a name given by Haller to one of his classes of plants. [SO'TONl (Med.) an epithet...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...opposite shall be equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other iide of the base shall be equal. Let ABC...
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