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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 17
by Robert Simson - 1806 - 518 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pages
...Which was to be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are N. 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 ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...each, viz. those to which the equal sides are opposite. Prop. V. Theor. The angles at the base of ëî isosceles triangle are equal to one another; and,...angles upon the other side of the base shall be equal. •Prop. VI. Tbeor. If two angles uf -a ti ian-1«** •fiu:i! to one another, the sides also which...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 400 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 592 pages
...demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are equal to one andther; and if the equal sides be produced, the angles upon the other side of the base••shall be equal. , JL ABC be an isoscefes triangle, of which the side AB is B*o* I. equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 348 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...produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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...sides be produced, the angles upon the other side of th? base shall also be, equal. Let ABC be an isosceles triangle, of which the side AB is equal t»...
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The First Six Books with Notes

Euclid - 1822 - 216 pages
...equal (4). PROP- V. THEOR. In an isosceles triangle (BAC) the angles at the base Fig. 18. (due andACB) are equal to one another; and if the equal sides be produced, the angles below the base ( FBC and GCB) shall also be equal. Take any point F in the side produced, cut off AG...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - 1823 - 732 pages
...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 - 1825 - 1058 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...equal sides be produced, the angles upon the other iide of the base shall be equal. Let ABC be an Isosceles triangle, of which the side AB is equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 326 pages
...eaeh to eaeh. Whieh was to be demonstrated. i PROP. V. THiiOR, The angles at the base of an isoseeles triangle are equal to one another ; and if the equal sides be produeed, the angles upon the other side of the base shall also be equal. Let ABC he an isoseeles triangle,...
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