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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 116
των Rev. John Allen - 1822 - 494 σελίδες
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The Madras University Calendar, Τόμος 1

University of Madras - 1876 - 580 σελίδες
...the square of the line which is drawn from A to touch the circle on BC as diameter. V. To describe an isosceles triangle having each of the angles at the base double of the third angle. VI. In any right angled triangle, any rectilineal figure described upon the side...

Elementary Trigonometry

James Hamblin Smith - 1877 - 244 σελίδες
...ralv,» for an <IMJ/€ qflff. Take the figure and construction used by Eucl. iv. 10 in describing an isosceles triangle having each of the angles at the base double of the third angle. Hence LBAD=\ot 2 rt. L' = \ of IS0^se°. 6 6 Bisect BAD by AE, which will bisect...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 22

1878 - 632 σελίδες
...the sides, prove that they will all pass through the same point. 7. Describe, about a given circle, a triangle having each of the angles at the base double the vertical angle. CEYLON V.— PAPERS SET AT A COMPETITIVE EXAMINATION WEITE«S. OF CANDIDATES FOR WRITERSHIPS IN THE...

Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 σελίδες
...any two opposite sides of the square subtends a right angle at the centre of the circle. 7. Construct an isosceles triangle, having each of the angles at the base double of the third angle. If ABC be such a triangle, where A is the less angle, and if from A AD be drawn,...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...the extremities of the radii draw lines touching the circle. Proposition 5. Problem.— To describe an isosceles triangle having each of the angles at the base double the third angle. Draw any circle BDE, and in it any radius AB; divide (V. 23) AB in C in extreme and mean...

The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879 - 158 σελίδες
...the sides, prove that they will all pass through the same point. 7. Describe, about a given circle, a triangle having each of the angles at the base double the vertical angle. [An Algebra paper was included in this examination.] DEPARTMENTAL EXAMINATION. EXAMINING OFFICERS AND...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...Inscribe a square in a given circle. Describe a square about a given rectangle. Section V. 1. Describe an isosceles triangle having each of the angles at the base double of the third angle. Show that the smaller of the two circles in the fieure of this proposition is equal...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...part of it without the circle, shall be equal to the square on the line which touches it. 11. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 12. If four straight lines be proportionals, the rectangle contained by the extremes...

The Civil Service Manual for 1880-1881: Government Appointments and how to ...

1880 - 186 σελίδες
...the sides, prove that they will all pass through the same point. 7. Describe, about a given circle, a triangle having each of the angles at the base double the vertical angle. [Ati Algebra paper was included in this examination.] DEPARTMENTAL EXAMINATION. EXAMINING OFFICERS...

An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 σελίδες
...line. When is the Problem impossible ? 62. To trisect a right angle. 63. On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 61i To construct an isosceles triangle when there are given 1st. The base and opposite...




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