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" PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. "
Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Strona 22
autor: John Mason Good - 1819
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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 Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - Liczba stron: 490
...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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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - Liczba stron: 490
...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 Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - Liczba stron: 320
...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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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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...what parallelograms can circles be inscribed ? 16. 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. rv. 10, there are two triangles possessing the required property....
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Papers Read at the Royal Institute of British Architects

1865
...which shall contain an angle equal to a given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each of the angles at the base double of the third angle. Book VI. Proposition 2. Theorem. If a straight line be drawn parallel to one of the sides of a triangle,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...To inscribe a circle in a given square. Prop. 9. To describe a circle about a given sqnar* Prop. 10. To describe an isosceles triangle, having each of the angles at the base doable of the third angle. Prop. 11. To inscribe an equilateral and equiangular pentagon in a given...
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Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - 1866 - Liczba stron: 185
...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. Ti-oughton, his level, 104; his reflecting circle, 141....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...circumference of the described segment; so that the given straight line must not exceed twice AE. 43. To describe an isosceles triangle having each of the angles at the base double of the third angle. This problem is solved in IV. 10 ; we may suppose the solution to have been discovered by such an analysis...
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