| Euclides - 1872
....: 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... | |
| Euclides - 1874
...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 11. — Problem. To inscribe an equilateral and equiangular pentagon in a given circle.... | |
| Bombay city, univ - 1874
...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... | |
| Robert Potts - Geometry, Plane - 1876 - 403 pages
...straight lines given in position. (Apollonius.) •t. (a) To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** (IV 10.) (b) Construct a triangle having each of the angles at the base equal to seven times the third... | |
| Sir George Greenhill - Mathematics - 1876 - 236 pages
...segments intersect on a circle described on OC as diameter. iv. Describe an isosceles triangle having **each of the angles at the base double of the third angle.** Prove that the circle drawn through the middle points of the sides of this triangle will intercept... | |
| H. Loehnis - 1876
...proportional between two given straight lines. HIQHEB GEOMETRY. 10. Describe an isosceles triangle, having **each of the angles at the base double of the third angle.** 11. If any straight line ABCD meet four fixed concurrent straight linos Oo, 0/3, Of, OS, in the points... | |
| University of Madras - 1876
...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... | |
| Education Department,London - 1876
...they will not be in the same straight line. SECTION V. 1. To describe an isosceles triangle, Laving **each of the angles at the base double of the third angle.** Inscribe in a given circle a triangle whose largest angle shall be eight times either of the other... | |
| George Albert Wentworth - Geometry - 1877 - 398 pages
...other ; and of two chords, that which is nearer the centre is greater than the one more remote. 3. **If through the angles of an isosceles triangle which...circle, straight lines be drawn touching the circle** ; show that an isosceles triangle will be formed which has each of the angles at the base one-third... | |
| George Albert Wentworth - Geometry - 1877 - 398 pages
...chords, that which is nearer the centre is greater than the one more remote. 3. If through the vertices **of an isosceles triangle which has each of the angles...circle, straight lines be drawn touching the circle** ; show that an isosceles triangle will be formed which has each of the angles at the base one-third... | |
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