 | Isaac Todhunter - Euclid's Elements - 1880 - 208 pages
...arcs AB and DE, and is therefore a known angle. Similarly the angle BPC is known. Join A II, and on it describe a segment of a circle containing an angle equal to the former; join BC, and on it describe a segment containing an angle equal to the latter. Then the intersection... | |
 | Patrick M. Egan - 1883 - 212 pages
...draw NS making angle SNH = MN W, so that SN'NM shall be equal to the given rectangle; join SJf, and on it describe a segment of a circle containing an angle equal to SNH; let this segment cut NW in W; join WM and produce it to meet NH in H: HMN is the line required.... | |
 | 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 BC, meeting... | |
 | W. J. C. Miller - Mathematics - 1884 - 178 pages
...the triangle. Solution by MARGARET T. METER ; D. RIDDLE ; and others. On the given base AB construct a segment of a circle containing an angle equal to the given vertical angle ; and let QR, parallel to AB, be the given chord. Produce the chords QA, EB, to meet... | |
 | Luigi Cremona - Geometry, Projective - 1885 - 434 pages
...make 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 (Art.... | |
 | 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... | |
 | 1888 - 666 pages
...straight line joining their centres passes through the point of contact. 9. On a given straight line to describe a segment of a circle containing an angle equal to the third part of two right angles. ENGLISH. The Board of Exsmwnefrs. NOTE. — Pay particular attention... | |
 | Euclid - Geometry - 1892 - 460 pages
...determine at what point in CD, the st. line AB subtends a given angle. This is done as follows: — On AB describe a segment of a circle containing an angle equal to the given angle. in. 33. If the arc of this segment intersects CD, two points in CD are found at which AB subtends the... | |
 | John Wellesley Russell - Geometry - 1893 - 366 pages
...HA, BC, hence the angle A'B'C' is equal to A VC ; so L D'E'F'= LI>VF. Hence to construct F draw on AC a segment of a circle containing an angle equal to the given angle A'B'C', and on DF and on the same side of it as before describe a segment of a circle containing an... | |
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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. 
