 | 1865 - 128 pages
...(Proposed by PW FLOOD.)— Given the sum of the squares on the sides containing the vertical angle, and the difference of the segments of the base made by the perpendicular ; to construct the triangle when the solid contained under the base and square on the perpendicular... | |
 | Robert Potts - 1865 - 528 pages
...the base BC. It may be shewn that the base BC must be produced to a point E, such that CE is equal to the difference of the segments of the base made by the perpendicular. 32. Sii.ce the base and area are given, the altitude of the triangle is known. Hence the problem is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight line less than the given chord. 533. Construct a triangle, having given tho sum of tho sides, the difference of the segments of the base made by the perpendicular from the vertex, and the difference of the base angles.. 534. On a straight line AB as base, and on... | |
 | Robert Potts - 1868 - 434 pages
...the base BC. It may be shewn that the base BC must be produced to a point E, such that CE is equal to the difference of the segments of the base made by the perpendicular. 29. Since the base and area are given, the altitude of the triangle is known. Hence the problem is... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...the base of any triangle is to the sum of the two othei sides, as the difference of the latter is to the difference of the segments of the base made by the perpendicular. PROPOSITION XXXII. THEOREM. The diagonal and side of a square have no common measure Let ABCD be a... | |
 | W. J. C. Miller - Mathematics - 1875 - 148 pages
...bitangent chord in the constant anharmonie ratio of —3 : 1 26 4210. (TT Wilkinson, FRAS)— Having given the difference of the segments of the base made by the perpendicular, and the difference of the angles at the base ; to construct the triangle when the sum of the squares... | |
 | 1875 - 120 pages
...y'± — (ex! — d), therefore, &c.] 'a2 a 4210. (Proposed by TT WILKINSON, FRAS)— Having given the difference of the segments of the base made by the perpendicular, and the difference of the angles at the base ; to construct the triangle when the sum of the squares... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...the base BC. It may be shewn that the base BC must be produced to a point E, such that CE is equal to the difference of the segments of the base made by the perpendicular. 29. Since the base and area are given, the altitude of the triangle ia •known. Hence the problem... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight lino less than the given chord. 533. Construct a triangle, having given the sum of tho sides, the difference of the segments of the base made by the perpendicular from the vertex, and the difference of the base angles. 534. On a straight line AB as base, and on... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the circle their difference shall bo equal to a given straight line less than the given chord. sides, the difference of the segments of the base made by the perpendicular from the vertex, and the difference of the base angles. 534. On a straight line AB as base, and on... | |
| |
CE is equal to the difference of the segments of the base made by the perpendicular. 
