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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Elementary Geometry: Practical and Theoretical - Seite 269
von Charles Godfrey, Arthur Warry Siddons - 1903 - 355 Seiten
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Band 1

1801 - 446 Seiten
...KB. Ccc PR.OBT.EM PROBLEM xix. a inscribe an isosceles triangle in a given circle, that shall have each of the angles at the base double the angle at the vertex. Draw any diameter AB of the given circle ; and divide the radius CB, in the point D, in extreme and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...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...
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The British encyclopedia, or, Dictionary of arts and sciences, Band 3

William Nicholson - 1809 - 752 Seiten
...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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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 3

William Nicholson - 1809 - 700 Seiten
...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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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 Seiten
...AE : : AE : EB; i PROBLEM xxvim To Inscribe an Isosceles Triangle in a Given Circle, that shall have each of the Angles at the Base Double the' Angle at the Vertex, DRAW any diameter AB of the given • circle ; and divide ths radius CB, in the point D, in extreme...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 Seiten
...: AF. : EB. « PROBLEM XXVIII. To Inscribe an Isosceles Triangle in a Given Circle, that shall have each of the Angles at the Base Double the Angle at the Vertex. DRAW any diameter AB of the given circle ; and divide the radius CB, in the point D, in extreme and...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 Seiten
...the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles triangle having each of the angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle BCE. Draw CE bisecting the angle...
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