| George Albert Wentworth - Geometry - 1877 - 416 pages
...sum of all the angles at their points of intersection will be equal to two right angles. .; r , . L. **2. Show that two chords which are equally distant...third angle, and is inscribed in a circle, straight** linos be drawn touching the circle ; show that an isosceles triangle will be formed which has each... | |
| James Hamblin Smith - Trigonometry - 1877 - 244 pages
...qflff. Take the figure and construction used by Eucl. iv. 10 in describing an isosceles triangle having **each of the angles at the base double of the third angle.** Hence LBAD=\ot 2 rt. L' = \ of IS0^se°. 6 6 Bisect BAD by AE, which will bisect BD at right angles.... | |
| Civil service - 1878 - 228 pages
...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... | |
| George Albert Wentworth - 1879 - 196 pages
...^^' > ^/f (§ 52), still more is KC > AH. .'. AK + KC > 2 AH, or AC> AD. Ex. 3. If through the angles **of an isosceles triangle which has each of the angles...at the base one.third of the angle at the vertex.** Let the isosceles A ABC have each of the A ABC and ACB equal to twice Z BAC, and be inscribed in O... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...describe a regular decagon in it. Construct (VI. 5) the isosceles triangle DAB on the radius DA, having **each of the angles at the base double of the third angle.** Because each of the angles DAB, DBA is double ADB, the two together are four times the angle ADB, and... | |
| University of Oxford - Greek language - 1879 - 414 pages
...line and the circumference, so as not to cut the circle. 5. Describe an isosceles triangle, having **each of the angles at the base double of the third angle.** 6. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides,... | |
| Edward Harri Mathews - 1879 - 94 pages
...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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...the middle points of all equal straight lines in a circle. 8. Describe an isosceles triangle, having **each of the angles at the base double of the third angle.** If the radius of a circle be cut in extreme and mean ratio, the greater segment will be equal to the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...that the given straight line must not exceed twice AE. 42. 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... | |
| Education, Higher - 1884 - 538 pages
...angles to that, plane. 16. In the figure of Euclid IV. 10, show that there are two triangles having **each of the angles at the base double of the third angle ; and** also an isosceles triangle, the angles at the base of which are each one-third part of the third angle.... | |
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