 | W. Hilton - Science - 1797 - 308 pages
...fplution than any yet made public. QUEST. 69. QUEST. 68. By Mr. John Lowry. From two given points A,B in the circumference of a given circle, it is required to draw two ftraight lines AC, BC to meet in the circumference at C, and interfeft a ftraight line given by... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...joined, prove that the last two lines will bisect the angle at C and its supplement respectively. 2. A, B, C are three given points in the circumference of a given circle ; find a point P such that if AP, BP, CP meet the circumference in D, E, F, the arcs DE, EF may be... | |
 | Mathematics - 1865 - 132 pages
...The series only hold good within the limits (n + r) 9 = + ir. 1658. (Proposed by J. O'CALLAGHAN.) — A, B, C are three given points in the circumference...these lines may be given, a maximum, or a minimum. Solution by theRm. R. TOWNSEND, MA; PW FLOOD; E. FITZGERALD; J. DALE ; the PROPOSER ; and others. The... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the length of the straight line drawn from the vertex to the base bisecting the vertical angle. 551. A, B, C are three given points in the circumference of a given circle : find a point P such that if AP, BP, CP meet the circumference at D, E, F respectively, the arcs DE,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...tho length of the straight line drawn from the vertex to the base bisecting the vertical angle. 551. A, B, C are three given points in the circumference of a given circle: find a point P such that if AP, BP, CP meet the circumference at D, E, F respectively, the arcs DE,... | |
 | John Harris - Circle-squaring - 1875 - 294 pages
...duplication; and. .The Theory of curvature. PROP. D. — PROBLEM. Requisition. — Through a given point in the circumference of a given circle it is required to draw a straight line tangential to the circle, which shall be equal in length to the given circle. Definition.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the length of tho straight line drawn from the vertex to the base bisecting the vertical angle. 551. A, B, C are three given points in the circumference of a given circle : find a point P such that if AP, £P, CP meet the circumference at D, E, F respectively, the arcs... | |
 | W. J. C. Miller, D. Biddle - Mathematics - 1901 - 128 pages
...only hold good within the limits (n + г) в — ±w. 1658. (Proposed by J. O'CALLAGHA».)— A, В, C are three given points in the circumference of a given circle. It is required to draw from С а chord CD, such that if we divide it in a given ratio in E, and join AE, BE, the sum or difference... | |
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Construct a triangle, having given the base, tho vertical angle, and the length of the straight line drawn from the vertex to the base bisecting the vertical angle. 551. A, B, C are three given points in the circumference of a given circle : find a point... 