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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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...constructed on DF as the one given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Let AB be the given base. Produce AB to some point C till the rectangle ACXBC shall...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of...any straight line AB, and divide it in the point C, (il. 11.) so that the rectangle AB, BC may be equal to the square on CA ; and from the center A, at...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...what parallelograms can circles be inscribed ? 16. Give the analysis and synthesis of the problem : to describe an isosceles triangle, having each of the angles at the base double of the third angle ? 16. Shew that in the figure Euc. rv. 10, there are two triangles possessing the required property....
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Papers Read at the Royal Institute of British Architects

Architecture - 1865
...which shall contain an angle equal to a 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
...To inscribe a circle in a given square. Prop. 9. To describe a circle about a given sqnar* Prop. 10. To describe an isosceles triangle, having each of the angles at the base doable of the third angle. Prop. 11. To inscribe an equilateral and equiangular pentagon in a given...
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Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - Mathematical instruments - 1866 - 185 pages
...of 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 - 400 pages
...square ABCD. Wherefore a circle has been described about the given square. QEF PROPOSITION 10. PROBLEM. To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide it at the point C, so that the rectangle AB, BC may be equal to the square on AC; [II. 11. from the centre...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...circumference of the described segment; so 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
...tables, (-00645)*; (3) The 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 - 112 pages
...this square determines the required point on AB. The proof from m. 11 and III. 12. 8. To construct an isosceles triangle having each of the angles at...third angle. Take any straight line AB, and divide it so that AB.BC = With centre A and distance AB describe a circle, in which place BD = AC. Join AD; ABD...
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