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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 230
by Miles Bland - 1819 - 377 pages
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...line in a given point. (4.) Of 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...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...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. 61i To construct an isosceles triangle when there are given 1st. The base and opposite...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...extremities is equal to the rectangle contained by the corresponding segments of the other. 14. Describe an isosceles triangle, having each of the angles at the base double of thejjthird angle. 15. If ABCDE be a regalar pentagon, prove that the rectangle contained by BE and...
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The book of scales; principally designed for the use of students ..., Volume 39

Ambrose Wheeler Holohan - 1881 - 56 pages
...construction of the other regular polygons. 4. If it be required to construct, on a given straight line, an isosceles triangle having each of the angles at the base double the vertical angle. Open the sector till the transverse distance between 10 and 10 is equal to the...
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The Competitor, Volumes 1-2

1882 - 486 pages
...respectively. Show that AO, BO, CO, pass through the angular points of this triangle. 10. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Show that the smaller circle used in the construction is equal to the circle described...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...straight line at right angles to a given straight line from a given point in the same. 6. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 7. o is the centre and BOC any diameter of the circle ABC. The tangents at B and c cut...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...the sum of their diameters is equal to the sum of the sides containing the right-angle. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Divide a right-angle into five equal parts. 5. Solve:6. Define ratio and proportion, and...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...or the circumferences) be equal, the arcs on which these angles stand shall be equal. 8. To describe an isosceles triangle having each of the angles at the base double of the third angle. In the figure for this Proposition, produce DA and DG to meet the other circumference...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...AB ; prove that the squares on AE, ED, DC, are together equal to half the square on AB. 5. Describe an isosceles triangle having each of the angles at the base double of the third angle. 6. Can triangles be equal which cannot be made to coincide ? Can squares or rectangles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...of the described segment; so 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...
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