| Mathematics - 1801 - 446 pages
...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... | |
| Robert Simson - Trigonometry - 1806 - 546 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... | |
| John Playfair - Mathematics - 1806 - 320 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... | |
| William Nicholson - 1809 - 752 pages
...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... | |
| William Nicholson - Natural history - 1809 - 700 pages
...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... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...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... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...: 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... | |
| John Mason Good - 1813 - 714 pages
...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... | |
| Euclides - 1816 - 588 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... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...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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