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" To describe an isosceles triangle having each of the angles at the base double of the third angle. "
Elements of Geometry - Page 126
by George Albert Wentworth - 1881 - 250 pages
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been 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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Papers Read at the Royal Institute of British Architects

Architecture - 1865 - 276 pages
...given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each of the angles at the base double of the third angle. Book VI. Proposition 2. Theorem. If a straight line be drawn parallel to one of the sides of a triangle,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...described about the square ABCB. Q. E, F. PROP. X. — PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (References — Prop. I. 5, 6, 32 ; n. 11 ; m. s2, 37 ; rv. 1, 5.) CONSTRUCTION Take any straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been 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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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 428 pages
...section be joined; the triangles so formed will be similar to one another. 653. If through the angles of an isosceles triangle which has each of the angles...circle, straight lines be drawn touching the circle, an isosceles triangle will be formed which has each of the angles at the base one-third of the angle...
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Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - Mathematical instruments - 1866 - 228 pages
...making and recording observations, 151 ; use of the portable transit, 153. Triangle, isosceles, having each of the angles at the base double of the third angle, constructed, 40; right-angled, solved, 31. Ti-oughton, his level, 104; his reflecting circle, 141....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...that the given straight line must not exceed twice AE. 43. To describe an isosceles triangle having each of the angles at the base double of the third angle. This problem is solved in IV. 10 ; we may suppose the solution to have been discovered by such an analysis...
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Mathematical Exercises ...

Samuel H. Winter - 1867 - 468 pages
...value of x to two decimal places when i 10x =2-45. 15. Find the area of an isosceles triangle, having each of the angles at the base double of the third angle, one of the equal sides being 12 feet. XV. (a.) 1. How many times is 2 15s. 6d. contained in 152...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...required point on AB. The proof from m. 11 and III. 12. 8. To construct an isosceles triangle having each of the angles at the base double of the third angle. Take any straight line AB, and divide it so that AB.BC = With centre A and distance AB describe a circle,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...BDA, DBA is double of the angle DAB. AVherefore an isosceles triangle ABD has been 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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