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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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An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 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. 64, To construct an isosceles triangle when there are given 1st. The base and opposite...

An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 262 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. 64. To construct an isosceles triangle when there arc given 1st. T-he base and opposite...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...will be described about the square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II....

Euclid's Elements of Geometry

Euclid - 1872 - 284 σελίδες
...PROPOSITION X. PROBLEM. To construct an isosceles triangle, having each angle at the base, double of the vertical angle. Take any right line AB, and divide it in C, so that the rectangle under AB and CB be equal to the square of AC (by Prop. 1 1, B. 2), and from...

Euclidian Geometry

Francis Cuthbertson - 1874 - 400 σελίδες
...remainder CR, but GC is the square on PC and CJtis = rectangle PQ, QC, foiQRis = PQ; PROBLEM C. To describe an isosceles triangle having each of the angles at the base double of the angle at the vertex. Take any straight line AB and divide it in C, so that rectangle AB, BC...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...the other three, and be described about the square ABCD QEF PROPOSITION 10. — Problem. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Construction. Take any straight line AB, and divide it in the point C (II. 11),...

The Bombay university calendar, Τόμος 1

Bombay city, univ - 1874 - 648 σελίδες
...with tho angular points of tho trianglu Uivido tho triangle into three equal parts. 9 ex 3. Describe an isosceles triangle having each of the angles ? at the base double of the third angle. 4. A rectangle ABCD and a parallelogram iBCP, wi\hm 10 the rectangle; have the...

Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - 1876 - 318 σελίδες
...right angle, and therefore the segments intersect on a circle described on OC as diameter. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. Prove that the circle drawn through the middle points of the sides of this triangle...

Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt. With ..., Τόμος 2,Μέρος 2

H. Loehnis - 1876 - 652 σελίδες
...proportion. 9. Find a mean proportional between two given straight lines. HIQHEB GEOMETRY. 10. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 11. If any straight line ABCD meet four fixed concurrent straight linos Oo, 0/3,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...parallelograms can circles be inscribed ? 15. Give the analysis and synthesis of the problem : to describe an isosceles triangle, having each of the angles at the base double of the third angle ? 16. Shew that in the figure Euc. iv. 10, there are two triangles possessing the...




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