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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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Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson - 1860
...through O and cut the circle in C' and DE in P. Then as before the angle APD = ABC' = a right angle. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. If A be the vertex, and BD the base of the constructed triangle, D being one of the points of intersection...
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The Mathematical Monthly, Volume 3

Mathematics - 1860
...STUDENTS. to find x and y by quadratics. — Communicated by Prof. K W. EVANS, Marietta College, Ohio. II. Describe an isosceles triangle having each of the angles at the base double of the third angle. III. Which is greater, 2 tan~ 1 (y/2 — 1), or 3 tan- 1 -f- tan~ 1 -fa ? — Communicated by PROF....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the bate double of the third angle. Take any straight line AB, and diride it in the point C, (ll. 11.)...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...6 Ax. 7 & 6. I. Sim. Ax. 1. 9, III. 7 8 9 10 D. 8. 11 Dcf. 6, IV. PROP. 10. — PROB. To construct an isosceles triangle, having each of the angles at the base double of the third, or vertical angle. CON. Pst. 3. 1. IV. Pet. 1. 5, IV. 11, II. To divide a given line into two parts,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...Describe an isosceles triangle having each of the angles at the base double of the third angle. Also describe an isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles have one angle of the one equal to one angle of the...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...of the third angle. (References— Prop. i. 5, 6, 32 ; n. 11 ; in. 32, 37 ; iv. 1, 5.) CONSTRUCTION Take any straight line AB, and divide it in the point C, so that tht rectangle AB, BC, may be equal to the square of CA ; (n. 11) and from the centre A, at the distance...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...triangle. 9. Inscribe a square in a given semicircle. Prop. 10 to 16. 10. On a given straight line as base, describe an isosceles triangle, having each of the angles at the base one-third of the vertical angle. 11. The square of one of the diagonals of a regular pentagon inscribed...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 490 pages
...constructed on DF as the one given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Let AB be the given base. Produce AB to some point C till the rectangle ACXBC shall...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 490 pages
...constructed on DP as the one given line is to the other. PKOBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the г^ег Heal angle. Let А В be the given base. Produce А В to some point С till the rectangle...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...triangle ABD has each of its angles ABD and ADB double of the angle BAD. PHOP. X. (PnaELEM.)— 7 ' 0 describe an isosceles triangle, having each, of the angles at the base rfowWe of the third angle. Join DC, and about the triangle ADC describe the circle ACD (IV. 5). Because...
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