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" To describe an isosceles triangle having each of the angles at the base double of the third angle. "
Elements of Plane and Solid Geometry - Page 126
by George Albert Wentworth - 1877 - 398 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...angles BDA, DBA is double of the angle DAB; wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. PROP. XI. PROB. TO inscribe an equilateral and equiangular pentagon in a given...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. Book IV. Take any straight line AB, and divide1 it in the point C, a ll- 2so that the rectangle AB.BC...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...To describe a circle about a given square. Prop. X. Prob. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Prop. XI. Prob. To inscribe an equilateral and equiangular pentagon in a given circle. Prop. XII. Prob....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...angles BDA, DBA is double of the angle DAB, wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...angles BOA, DBA is double of the angle DAB ; wherefore an isosreles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. " COR. 1. The angle BAD is the fifth part of two right angles. " For since each...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Euclid's Elements - 1825 - 582 pages
...the method of describing, upon a given finite straight line as a base, an isosceles triangle, having each of the angles at the base double of the third angle. 25. COR. 3. The figure ABHFMCDGEL being an equilateral and equiangular decagon, if the points A, H,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. PROP. XL PROB. To inscribe an equilateral and equiangular pentagon in a given...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831
...[Ncwton, Book III. Prop. 35.] TRINITY COLLEGE, JUNK 1829. 1 . DESCRIBE an isosceles triangle having each of the angles at the base double of the third angle. 2. Find the interest and discount of £ 500 for 7 months at 3| per cent per ann. simple interest. 3....
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * This is considered the most useful problem in Euclid. Steps of the Demonstration. 1. Prove that AB...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...: it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (II. .11.) in C, so that * In practice, the construction is...
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