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" PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. "
Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Strona 22
autor: John Mason Good - 1819
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An Elementary Geometry

William Frothingham Bradbury - 1872 - Liczba stron: 110
...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...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - Liczba stron: 238
...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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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...
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The Bombay university calendar, Tom 1

Bombay city, univ - 1874
...join it with tho angular points of tho trianglu Uivido tho triangle into three equal parts. 9 ex 3. Describe an isosceles triangle having each of the angles ? at the base double of the third angle. 4. A rectangle ABCD and a parallelogram iBCP, wi\hm 10 the rectangle; have the same diagonal AC ; through...
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Euclidian Geometry

Francis Cuthbertson - 1874 - Liczba stron: 349
...the remainder CR, but GC is the square on PC and CJtis = rectangle PQ, QC, foiQRis = PQ; PROBLEM C. To describe an isosceles triangle having each of the angles at the base double of the angle at the vertex. Take any straight line AB and divide it in C, so that rectangle AB, BC may be...
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The Madras University Calendar, Tom 1

University of Madras - 1876
...AC, by twice the square of the line which is drawn from A to touch the circle on BC as diameter. V. To describe an isosceles triangle having each of the angles at the base double of the third angle. VI. In any right angled triangle, any rectilineal figure described upon the side subtending the right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - Liczba stron: 403
...to two right angles. Deduce — The angle in a semicircle is a right angle. (Prop. 31 Bk. IH ) 10. To describe an isosceles triangle having each of the angles at the base double of the third angle. A tangent to a circle is drawn at an angular point of an inscribed regular pentagon, and a side produced...
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Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - Liczba stron: 398
...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 ...

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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...which are not at right angles to one another, determine the exact form of the circumscribing figure. 3. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Show that if the points of intersection of the circles in Euclid's figure be joined with the vertex...
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