 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...3. In a plane triangle ABC, given the sum of the sides AC, BC ; the perpendicular from the vertex C upon the base AB ; and the difference of the segments...the perpendicular ; find the sides of the triangle. 4. Given the vertical angle, the perpendicular let fall from the vertical angle on the base, and the... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...the base AD, will be to the sum of the other sides, AB, BD, as the difference of those sides, is to the difference of the segments of the base, made by the perpendicular BE ; viz : the difference between AJE and ED. Produce BD, till BG = AB the lesser side; and on B as... | |
 | Alfred Wrigley - 1857 - 332 pages
...31. 17. Determine a triangle, having given 2d the sum of the two B1des, p the perpendicular and 2n the difference of the segments of the base made by the perpendicular. 18. Given the base «, and the altitude p of & triangle ; find the side of the inscribed square. 19.... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...the base of any triangle is to the sum of the two other 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Harvey Goodwin - 1862 - 174 pages
...13. In a plane triangle ABC, given the sum of the sides AC, BC; the perpendicular from the vertex C upon the base AB; and the difference of the segments...perpendicular; find the sides of the triangle. 14. Given the vertical angle, the perpendicular let fall from the vertical angle on the base, and the rectangle... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...sides. 17. Determine a triangle, having given id the sum of the two sides, p the perpendicular and 2» the difference of the segments of the base made by the perpendicular. 18. Given the base a, and the altitude p of a triangle ; find the side of the inscribed square. 19.... | |
 | Euclides - 1864 - 262 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... | |
 | Euclides - 1864 - 448 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... | |
 | Mathematics - 1865 - 132 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... | |
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CE is equal to the difference of the segments of the base made by the perpendicular. 
