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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 230
by Miles Bland - 1819 - 377 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...will therefore be described about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. Book IV. Take any straight line AB, and divide1 it in the point C, a ll- 2so that the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...and be described about the square ABCD. Which was to be done. : • '-) PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. a 11. 2. Take any straight line AB, and divide » it in the point C, so that the rectangle...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 3

William Nicholson - Natural history - 1809
...to AC, and GF, HK, parallel to BD ; which "•ill give the required square. PROBLEM XXXI. /'" make an isosceles triangle, having each of the angles at the base double that at the summit. Fig. 32. Cut any given line, as AB, into extreme and mean proportions, (as in Problem...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 3

1809
...to AC, and GF, H К, parallel to В D ; which will give the required square. PROBLEM XXXI. Tu mate an isosceles triangle, having each of the angles at the base double that at the summit. Fig. S-¿. Cut any given line, as AB, into extreme and mean proportions, (as in...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...given iquaie. Prop. IX. Prob. To describe a circle about a given square. Prop. X. Prob. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Prop. XI. Prob. To inscribe an equilateral and equiangular pentagon in a given circle....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Euclid's Elements - 1816 - 528 pages
...other three, and be described about the square ABCD. Which was to be done. PROP, X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * 11. 8. Take any straight line AB, and divide* it in the point C, so that the rectangle...
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Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1819 - 377 pages
...described on the side of an equilateral and equiangular pentagon inscribed in a circle, is equal to the sum of the squares of the sides of a regular hexagon...describe a circle BCE. Draw CE bisecting the angle ACE. Join EB, EA; and draw EF perpendicular to AB. Then the angle EAB is double of ECB, and therefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...other three, and be described about the square ABCD. 'Which was to be done. PROP. X. PROB. 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 (11. 2.) it in the point C, so that the rectangle...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...the sum of the squares of the sides of a regular hexagon and decagon inscribed in the same circle. angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle ВСЕ. Draw CE bisecting the angle ACB. Join ЕВ, EA; and draw EF perpendicular to AB. Then the angle...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Geometry - 1822 - 494 pages
...D, and is therefore circumscribed about the given square (Def. 4. 4). PROP. X. PROB. To constitute an isosceles triangle, having each of the angles at the base double the vertical angle. Take any right line AB, and divide it in the point C, so that the rectangle ABC...
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