Books Books 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 ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...Candidates for Honors. 1. IN a given circle inscribe a triangle equiangular to a given triangle. 2. Describe an isosceles triangle having each of the angles at the base double of the third angle. What is the immediate object of this proposition ? 3. The sides about the equal angles of equiangular... ## The Calendar of King's College, London

1857
...another, and r of another, = (p -\- 1) (q + 1) (r + 1) — 1. II. — Cuflfof anU Crtgononutrp. 1. DESCRIBE an isosceles triangle, having each of the angles at the base double of the third angle. 2. Shew that the base of the triangle is a side of the decagon inscribed in the large circle, and a... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...circle ABCD is about the given square. (9. IV.) PROB. 10. To describe an isosceles triangle Itaving each of the angles at the base double of the third angle. Take any line AB, and, by 11. II., divide it so that the rectangle A B-BC shall equal the square on CA ; from... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...a circle are equal to one another. VOLUNTARY PORTION. 1. Give Euclid's construction for describing an isosceles triangle having each of the angles at the base double of the angle at the vertex. Show that the base of the triangle thus described is equal to the side of a regular... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...the rate of 2£ per cent, per annum ? 10. Extract the square root of 2540-16. Voluntary Portion. 1. To describe an isosceles triangle having each of the angles at the base double of the third angle. How many degrees will there be in the several angles of such a triangle 1 2. Triangles of the same... ## A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...the relation which exists between the radius of a circle, and the side of its inscribed hexagon. D. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 5. EUCLID, BOOKS V. & VI. 1. Define "ratio," and illustrate by arithmetic. Define "multiple," and state... ## A Treatise on Mathematical Instruments: Including Most of the Instruments ...

John Fry Heather - Angles (Geometry) - 1859 - 170 pages
...of making and recording observations, 151 ; use of the portable transit. 153. Triangle, isosceles, having each of the angles at the base double of the third angle, constructed, 40 ; right-angled, solved, 31. Troughton, his level, 104 ; his reflecting circle, 141.... Education - 1859
...without the circle shall be equal to the square of the line which touches it 10. Describe an i-osceles triangle having each of the angles at the base double of the vertical angle. EUCLID. 2d DIVISION. 1. Define a plane superficies, a circle, a rhomboid, a trapezium,... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...extremities of the other three, and be described about the square ABCD (Def. 6). PROPOSmON X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (Const.) Take any straight line AB, and (H 11) divide it in the point C, so that the rectangle AB •... 