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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 - Page 126
by George Albert Wentworth - 1881 - 250 pages
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Elements of Plane and Solid Geometry

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...
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Elementary Trigonometry

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

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...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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...
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First Public Examination in Literis Graecis Et Latinis

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

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...
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Military examinations. Mathematical examination papers, set for entrance to ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...
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The Cambridge Examiner, Volume 4

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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