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" PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 89
by Euclides - 1834
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University of Cambridge - 1841
...upon the une side of it are either two right angles, or are together equal to two right angles. 2. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Shew that if the points of intersection of the circles, in Euclid's 6gure, be joined with the vertex...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...of the 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. QEP PROP. XI. PEOB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABODE...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...the 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. " COR. 1. The angle BAD is the fifth part of two right angles. " For since each of the angles ABD and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 317 pages
...the 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. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB.BC may be equal to the square of AC ; and from...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volume 2

Church schools - 1844
...the base segments proportional to the sides of the triangle. 4. On a given straight line as a base, describe an isosceles triangle having each of the angles at the base double of that at the vertex. — NB After giving the construction, sketeh briefly the outline of the proof....
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 352 pages
...distance EA, describe the circle ABCD: it is (IV. A, cor.) the circle required. PROP. X. PROB. — To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide it (II. 11) in C, so that the rectangle AB.BC may be equal to the square of AC ; describe (I. 22) the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 199 pages
...of the 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. PROPOSITION XI. Pnon — To tttcrifo an fyvSatfral and equiangular pentagon in...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...of the 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. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...angles BDA, DBA is double of the angle BAD : Wherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third angle, QEF PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...the 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. " times the angle BAD. But the three angles ABD, ADB, BAD are " equal to two right angles, therefore...
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