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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 ... - Pàgina 68
per James Robert Christie - 1866 - 404 pàgines
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pàgines
...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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The Cambridge Examiner, Volum 4

1884 - 538 pàgines
...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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Elements of Geometry

George Albert Wentworth - 1879 - 262 pàgines
...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...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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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pàgines
...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 the tangent...
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The Competitor, Volums 1-2

1882 - 486 pàgines
...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 round the required...
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The Oxford examiner, ed. by M.W.I. Shilleto, Edicions 1-5

Mary W I. Shilleto - 1882 - 418 pàgines
...four lines will be double of the square on the diameter. 3. Describe an isosceles triangle, having each of 'the angles at the base double of the third angle. Hence show how to describe an equilateral and equiangular pentagon about a circle, without first inscribing...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pàgines
...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 1 Illustrate...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pàgines
...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 at O and H, and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pàgines
...the circumference of the given circle. VI. 19 to D. 406. An isosceles triangle is described having each of the angles at the base double of the third angle: if the angles at the base be bisected, and the points where the lines bisecting them meet the opposite...
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382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883 - 212 pàgines
...mean proportional betiretn the other two. EXERCISE 281. A n isosceles triangle is described having each of the angles at the base double of the third angle : if the angles at the base be bisected, and the points where the lines bisecting them meet the opposite...
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