 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...adjacent to the given angle ; to construct the triangle. Let AB be equal to the given side. Upon it describe a segment of a circle containing an angle equal to the given angle. Bisect AB in C; and from C draw to the circumference, a line CD such that the difference... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...adjacent to the given angle ; to construct the triangle. Let AB be equal to the given side. Upon it describe a segment of a circle containing an .angle equal to the given angle. Bisect AB in C; and from C draw to the circumference, a line CD such that the difference... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...and the sum of the mean and the other extreme be given ; on AU, the sum of the three, describe the segment of a circle containing an angle equal to the external angle of an equilateral triangle, and take AB equal to the given extreme ; draw BE, making AB E equal to... | |
 | Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...give the geometrical construction. Draw any diameter Rr, meeting the hyperbola in R, r, and upon it describe a segment of a circle containing an angle equal to the given angle, and cutting the hyperbola in Q, draw QR, Qr, and, parallel to these, the semi-diameters... | |
 | Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...give the geometrical construction. Draw any diameter Rr, meeting the hyperbola in R, r, and upon it describe a segment of a circle containing an angle equal to the given angle, and cutting the hyperbola in Q, draw QR, Qr, and, parallel to these, the semi-diameters... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...PROB. GIVEN the angles and diagonals of a parallelogram ; to construct it. On one of the diagonals describe a segment of a circle containing an angle equal to the given angle at either extremity of the other ; from the middle point of this diagonal as centre, with... | |
 | William Desborough Cooley - Geometry - 1840 - 106 pages
...triangle, of which the base, the ratio of the sides, and the vertical angle are given. On the given base AB describe a segment of a circle, containing an angle equal to the given vertical angle (m. Prop. 33). Complete the circle, and draw the diameter EC making right angles... | |
 | Euclides - 1845 - 546 pages
...of given length. Bisect PQ in R and on PR describe a rectangle equal to the given area ; also on PQ describe a segment of a circle containing an angle equal to the angle BAC, and let the arc of this segment cut the side of the rectangle opposite to PR in S. Join... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...PROB. — Given the angles and diagonals of a parallelogram ; to construct it. On one of the diagonals describe a segment of a circle containing an angle equal to the given angle at either extremity of the other ; from the middle point of this diagonal as centre, with... | |
 | Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...the. line AE equal to AC the shorter side is given. Hence the construction. 62. On the given base AB describe a segment of a circle containing an angle equal to the given angle, and through C the bisection of the base draw the diameter DE perpendicular to AB. Join... | |
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AB describe a segment of a circle containing an angle equal to the given angle, (in. 
