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" PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 89
av Euclides - 1834
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...circle in a given 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. PROP. XII....
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 sider
...What is 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 sides. 3. Prove...
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A Treatise on Mathematical Instruments: Including Most of the Instruments ...

John F. Heather - 1849 - 208 sider
...method of making and recording observations, 161; use of the portable transit, 162. Triangle, isosceles, having each of the angles at the base double of the third angle, constructed, 43 ; right-angled, solved, 32. Troughton, his level, 110 ; his reflecting circle, 149....
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The Calendar of King's College, London

1850 - 400 sider
...a right 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 its sides. (2.)...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 sider
...these arcs, 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 inscribed...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 sider
...into two 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 in the smaller...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 sider
...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 the same plane...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853 - 334 sider
...given 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...third angle. Take any straight line AB, and divide (ii. n) it in the point c so that the rectangle AB, BC may be equal to the square of AC, the part of...
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Calendar of the University of Sydney

University of Sydney - 1853 - 810 sider
...straight lines 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...the angles BDA, DBA, is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. QEF PROP. XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE...
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