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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 ... - Strona 230
autor: Miles Bland - 1819 - Liczba stron: 377
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - Liczba stron: 382
...EA, describe the circle ABCD: it is (IV. A, cor.) the circle required. PROP. X. PROB. — 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 it (II. 11) in C, so that the rectangle AB.BC may...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - Liczba stron: 292
...extremities of the other three, and be described about the given square ABCD. QEF PROP. X. PnOB. 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 it in the point C, so that the rectangle AB, BC...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - Liczba stron: 52
...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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - Liczba stron: 390
...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 Calendar of King's College, London

1850 - Liczba stron: 400
...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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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - Liczba stron: 144
...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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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - Liczba stron: 196
...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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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - Liczba stron: 348
...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 ..., Księga 1

Euclides - 1853 - Liczba stron: 334
...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 - Liczba stron: 810
...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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