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" To describe an isosceles triangle having each of the angles at the base double of the third angle. "
A Collection of Elementary Test Questions in Pure and Mixed Mathematics with ... - Page 68
by James Robert Christie - 1866 - 404 pages
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Elements of Plane and Solid Geometry

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...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 - 228 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
...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 - 182 pages
...the chord AC at A'. ^^' > ^/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...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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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 - 400 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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Elements of Geometry

George Albert Wentworth - 1881
...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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