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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...what parallelograms can circles be inscribed ? 15. 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. iv. 10, there are two triangles possessing the required property...
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Papers for the schoolmaster, Volume 4

1868
...have also a circle described about it the area of thii circle is double that of the first circle. S. Describe an isosceles triangle having each of the angles at the base double of the third angle.—Apply this proposition directly to inscribe au equilateral and equiangular decagon in a given...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 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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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 382 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 AC X BC...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...describe a circle : the circle ABCD is about the given square. (9. IV.) PROB. 10. To describe an isoecelee triangle Having each of the angles at the base double of the third angle. x"' E — Take any line AB, and, by 11. II., divide it so that the -• rectangle AB . BC shall equal...
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The Edinburgh university calendar

Edinburgh univ - 1871
...made by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles triangle having each of the angles at the base double the third angle. 5. In right angled triangles, the rectilineal figure described upon the side opposite...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...B, C, D, and will be described about the square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of...angles at the base double of the third angle. Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II. 11. With centre A and radius...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...centre is greater than the one more remote. 3. If through the angles of an isosceles triangle which has each of the angles at the base double of the third angle, and is inscribed in a circle, straight lines be drawn touching the circle ; show that an isosceles...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878
...any two opposite sides of the square subtends a right angle at the centre of the circle. 7. Construct an isosceles triangle, having each of the angles at the base double of the third angle. If ABC be such a triangle, where A is the less angle, and if from A AD be drawn, so that the angle...
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Elementary geometrical drawing

Samuel H. Winter - 1878
...also the lengths of the sides BL, H L. 15. Divide a straight line AB, 2J in. long, into two parts, in the point C, so that the rectangle AB, BC may be equal to the square on A C. Find, by measurement, the length of the diagonal of the square on A C. 16. Inscribe a circle...
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