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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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...harmonic progression, and how are questions relating to it most easily worked ? Section 3. 1. Describe an isosceles triangle having each of the angles at the base double of the third angle. 2. Bisect a given triangle by a straight line drawn through a given point in one of the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...square. PROP. IX PROBLEM. To describe a circle about a given square. PROP. X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. PROP. XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle....
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The Calendar of King's College, London

1850 - 400 pages
...angle ; and the angle in a segment less than a semicircle is greater than a right angle. 6. To describe an isosceles triangle, having each of the angles at the base double of the third angle. DEDUCTIONS. (I.) Bisect a given triangle by a line drawn from a given point in one of...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...segments such that the angle in one of them shall be five times the angle in the other. 5. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Shew that the base of the triangle is equal to the side of a regular pentagon inscribed...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...will also be in this ratio ; and therefore AjAgAg will be the triangle required. 1850. (A). Describe an isosceles triangle, having each of the angles at the base double of the third angle, (iv. 10.) (B}. Shew that the base of the triangle is equal to the side of a regular pentagon...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 pages
...of any parallelogram meet the diagonal of the whole parallelogram in the same point. 2. Describe a triangle having each of the angles at the base double of the third angle : and deduce the expression for sin 36°. 3. If two straight lines be at right angles to...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...square ABCD, it is circumscribed (iv. Def. 6) about it. Which was to be done. PEOP. X. PEOB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide (ii. n) it in the point c so that the rectangle...
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Calendar of the University of Sydney

University of Sydney - 1853 - 810 pages
...drawn from the angles of a triangle perpendicular to the opposite sides meet in a point. 6. Describe an isosceles triangle having each of the angles at the base double the third angle. Hence show how to inscribe a regular decagon in a given circle. 7. Enunciate two propositions...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...quadrilateral circles be described meeting again in JJ; P, R, Q will be in one straight line. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Upon a given straight line, as base, describe an isosceles triangle having the third angle...
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The popular educator, Volumes 5-6; Volume 8

Popular educator - 1854 - 922 pages
...the fifth. This last I studied in the usual way, but without the assistance of a master. To describe an isosceles triangle having each of the angles at the base double of the vertical angle, almost baffled me. 1, however, after three months of hard study, succeeded in solving...
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