 | Robert Simson - Trigonometry - 1806 - 546 pages
...is, *he given ratio of AD to BC, must be less than the ratio of GH to EF, which the straight line, in a segment of a circle containing an angle equal to the given angle, that bisects the base of the segment at right angles, has unto the base. Con. 1. If two triangles,... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...opposite to it, and the sum of the other two sides ; to construct the triangle. Let AB be the given side. Upon it describe a segment of a circle containing an angle equal to half the given angle ; and from A draw AC equal to the given sum of the two sides ; join EC-, and make... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...one of the angles at the base, and the other angle at the base ; to construct the triangle. Let AB he equal to the given bisecting line ; and upon it describe...GDH parallel to AB. In FB produced take BI equal to EH. Join AI; A FI is the triangle required. Join IG, cutting AB in K. Because GHis parallel to AB,... | |
 | Sir John Leslie - Curves - 1821 - 518 pages
...D(V and COc are likewise given. COMPOSITION. Draw any diameter KO, on which describe (III. 23. El.) a segment of a circle containing an angle equal to the given inclination of the conjugate diameters, and meeting the curve in a point G, join GE, G?, and parallel... | |
 | Miles Bland - Euclid's Elements - 1827 - 462 pages
...the given vertical angle. (15.) Given the line bisecting the vertical angle, the perpendicular dravm to it from one of the angles at the base, and the...ED, and produce it to F; join FA, FB ; and through A draw GDH parallel to AB. In FB produced take BI equal to BH. Join AI; API is the triangle required.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...the given ratio of AD to BC, must be less \ than the ratio of GH to KF, which the straight line in a segment of a circle containing an angle equal to the given angle, that bisects the base of the segment at right angles, has unto the base. COR. 1. If two triangles,... | |
 | Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...possible. The same problem admits of the following geometrical solution. Draw any diameter whatever Rr, and upon it describe a segment of a circle, containing an angle equal to the given angle, and cutting the ellipse in Q ; draw Qr, QR, and, parallel to these, the diameters Pp, Dd; these will... | |
 | Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...proceed to 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 CP, CD; these... | |
 | Perry Fairfax Nursey - Industrial arts - 1834 - 478 pages
...right angles, these two lines shall meet, if they are produced on the side of R and S. Take a line M'N' and upon it describe a segment of a circle containing an angle — RMO, the deficiency of SNM and RMN together from two right angles. In this segment draw the line... | |
 | Technology - 1834 - 476 pages
...right angles, these two lines shall meet, if they are produced on the side of R and S. Take a line M'N' and upon it describe a segment of a circle containing an angle ~ HMO, the deficiency of SNM and RMN together from two right angles. In this segment draw the line... | |
| |
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. 
