 | Euclides - 1864 - 262 pages
...vertical angle, and the perpendicular in a plane triangle, to construct it. Upon the given base AB describe a segment of a circle containing an angle equal to the given angle, (in. 33.) At the point B draw BC perpendicular to AB, and equal to the altitude of the triangle, (i.... | |
 | Robert Potts - 1865 - 528 pages
...outside the given circle through which the other two sides are required to pass. Join PQ and on PQ describe a segment of a circle containing an angle equal to the supplement of the angle contained by the two piven Hnes, and touching the circumference of the given... | |
 | Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...is to n. Take any straight line MN, and divide it at D so that DM may be to DN as m is to n. On MN describe a segment of a circle containing an angle equal to the angle BAC; draw DE at right angles to MN meeting the circumference at E. Join EM and EN. Then ED shall... | |
 | Robert Potts - 1868 - 434 pages
...points where the two tangents AB, AC meet the circle. PROPOSITION V. PROBLEM. Upon the given base All describe a segment of a circle containing an angle equal to the given angle, (in. 33.) At the point JB draw BC perpendicular to AB, and equal to the altitude of the triangle. (I.... | |
 | Henry W. Jeans - 1873 - 272 pages
...First solution (geometrically). Upon the line AB=400 yards, the distance between the objects A and B, describe a segment of a circle containing an angle equal to the given angle (35° 10') (Euclid III. 33), and measure a perpendicular distance CD=560 yards, the width, of the river... | |
 | Henry William Jeans - 1873 - 292 pages
...First solution (geometrically). Upon the line AB=400 yards, the distance between the objects A and B, describe a segment of a circle containing an angle equal to the given angle (35° 10') (Euclid III. 33), and measure a perpendicular distance CD=560 yards, the width of the river... | |
 | Isaac Todhunter - Conic sections - 1874 - 378 pages
...straight lines which form the angle at Б and G. On BG in the plane parallel to the plane of projection describe a segment of a circle containing an angle equal to the given angle. Join A with any point on this segment and take any point on the joining straight line for the vertex.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...containing an angle equal to a given angle. Let AB be the given line; it is required to describe upon it a segment of a circle containing an angle equal to the given angle V. At the point A in the line AB, make the angle BAG equal to the given angle V (I. 17, cor.). P/ Prom... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...vertical angle, and tht perpendicular in a plane triangle, It construct it. Upon the given base AB describe a segment of a circle containing an angle equal to the given angle, (m. 33.) D At the point B draw BC perpendicular to AB, and equal to the altitude of the triangle. (I.... | |
 | D. Tierney - 1877 - 126 pages
...touches that side, construct the triangle. E Let AB (fig. 12) be the given side of the triangle. On AB describe a segment of a circle containing an angle equal to the given angle ; and also describe a segment ADB containing an angle equal to half the given angle and a right angle.... | |
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AB be equal to the given bisecting line ; and upon it describe a segment of a circle containing an angle equal to the given angle. 
