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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 ... - Page 89
by Euclides - 1834
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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
...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 of Mathematical Instruments, including most of the instruments ...

John Fry Heather - Mathematical instruments - 1849 - 183 pages
...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
...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 SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...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 - Mathematics - 1851 - 173 pages
...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
...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. A New Text ..., Book 1

Euclides - Geometry - 1853
...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

University of Sydney - 1853
...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
...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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