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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: Containing the First Six Books of Euclid, with a ... - Σελίδα 101
των John Playfair - 1847 - 317 σελίδες
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 σελίδες
...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...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 σελίδες
...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...

The Edinburgh university calendar

Edinburgh univ - 1871 - 392 σελίδες
...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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 2

Euclides - 1872 - 102 σελίδες
....: OA, OB, OC, OD are all equal; PROPOSITION X. PROBLEM. To describe an isosceles triangle, haeing each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, so that rect. AB, BC=sq. on AC. n. 11. With centre A and radius AB...

An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 262 σελίδες
...line. When is the Problem impossible? 62. To trisect a right angle. 63. On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64. To construct an isosceles triangle when there arc given 1st. T-he base and opposite...

An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 σελίδες
...line. When is the Problem impossible ? 62, To trisect a right angle. 63, On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64, To construct an isosceles triangle when there are given 1st. The base and opposite...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...extremities of the other three, and be described about the square ABCD QEF PROPOSITION 10. — Problem. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Construction. Take any straight line AB, and divide it in the point C (II. 11), so that the rectangle...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...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...

Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 σελίδες
...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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