 | 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... | |
 | 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... | |
 | 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 208 pages
...the prescribed conditions, and so also will the triangle AEB. 265. Let AB be the given base. On AB describe a segment of a circle containing an angle equal to the given vertical angle. From the middle point of AB draw a straight line at right angles to AB, and let... | |
 | Patrick M. Egan - 1883 - 212 pages
...the sides of a triangle : to conttruct it. (Fig. 189, Plate XIII.)—Let AB be the given base. On it describe a segment of a circle containing an angle equal to the given vertical angle (III. 33); bisect AB in C; find a line equal to half the difference between the... | |
 | Euclides - 1885 - 322 pages
...the arc of this segment at A, and join AC. ABC is the required triangle. 3. On BC, the given base, describe a segment of a circle containing an angle equal to the given vertical angle ; from B draw BD j_ BC and = the given altitude ; through D draw a parallel to... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...scale.] 6. Draw an equiangular spiral to touch three given lines AB, BC, CA in three given points P, Q, R respectively. [On PR as chord describe a segment of...AB, BC, CA. [Suppose the spiral is to touch BA and BC produced. Through B draw a line dividing the angle ABC so that the perpendicular (p , ) dropped... | |
 | Education - 1885 - 630 pages
...inscribed circle of a triangle, construct it. (TtHÜiiiHler.) Ctnstruction. — Upon the given base АГ. describe a segment of a circle, containing an angle equal to the sum of the vertical angle and half its supplement ; (III. 33.) At a distance from AB equal to the given... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...perpendicular to PT meeting it in T. From one of the foci F draw a line meeting CT in Q and on CF1 describe a segment of a circle containing an angle equal to the angle CQF (Prob. 30) and cutting FQ in p. The locus of p will intersect the given tangent in its point... | |
 | Luigi Cremona - Geometry, Projective - 1885 - 341 pages
...with one another a given angle *. Construct first a diameter A A' of the conic (Art. 285); and on it describe a segment of a circle containing an angle equal to the given one. Find the points in which the circle of which this segment is a part cuts the conic again... | |
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AB describe a segment of a circle containing an angle equal to the given angle, (in. 
