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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 118
των Rev. John Allen - 1822 - 494 σελίδες
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...extremities of the other three, and be described about the given square ABCD. QEF PROP. X. PnOB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it in the point C, so that the rectangle...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...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...

The Calendar of King's College, London

1850 - 400 σελίδες
...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...

A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 σελίδες
...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...

The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 σελίδες
...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...

Calendar of the University of Sydney

University of Sydney - 1853 - 810 σελίδες
...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...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...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 the angles at the base double of the third angle. Take any straight line AB, and divide (ii. n) it in the point c so that the rectangle...

The popular educator, Τόμοι 5-6;Τόμος 8

Popular educator - 1854 - 940 σελίδες
...the fifth. This last I studied in the usual way, but without the assistance of a master. To describe an isosceles triangle having each of the angles at the base double of the vertical angle, almost baffled me. 1, however, after three months of hard study, succeeded in...

Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 282 σελίδες
...quadrilateral circles be described meeting again in R; P, R, Q will be in one straight line. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Upon a given straight line, as base, describe an isosceles triangle having the...




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