 | 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 from the centre... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...therefore be described about the square ABCD. Which was to be done, r 117 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... | |
 | British Columbia. Superintendent of Education - 1899 - 756 pages
...hypotenuse will be equal to the sum of the rectangles contained by the segments of the sides. 5. Describe an isosceles triangle having each of the angles at the base double of the third angle. 6. Inscribe a regular hexagon in a given circle. 7. If two chords of a circle cut one... | |
 | 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... | |
 | 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 circle.... | |
 | Sir John Leslie - Geometry, Plane - 1817 - 450 pages
...consequently the angle AOB is the sixth part of two right angles or the twelfth part of four right angles, and twelve such angles can, therefore, be...always described, with twice the number of sides. BOOK iV. Ill PROP. X. PROB. In a given triangle, to inscribe a circle. Let ABC be a triangle, it which... | |
 | Sir John Leslie - Geometry - 1817 - 456 pages
...twelve such angles can, therefore, be placed about the vertex O. Scholium. Hence a regular twenty- sided figure may be described on a given straight line,...always described, with twice the number of sides. f BOOK IT. Ill PROP. X. PROB. In a given triangle, to inscribe a circle. Let ABC be a triangle, it... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...three, and be described about the square ABCD. 'Which was to be done. PROP. X. PROB. To describe «» isosceles triangle, having each of the angles at the base double of the third angle. i Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle... | |
 | Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...consequently the angle AOB is the sixth part of two right angles or the twelfth part of four right angles, and twelve such angles can, therefore, be...X. PROB. In a given triangle, to inscribe a circle. Let ABC be a triangle, in which it is required to inscribe a circle. Draw AD and CD .(I. 5.) to bisect... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...and is therefore circumscribed about the given square (Def. 4. 4). 16 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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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
