 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...the sum and the difference of two sides of a triangle is equal to the rectangle contained by the base and the difference of the segments of the base, made by the perpendicular from the vertex. 4. The difference of the sides of a triangle is less than the difference of the segments... | |
 | Euclid - Geometry - 1890 - 442 pages
...vertex. 24. Construct a triangle when given its vertical angle, the sum of the sides forming that angle, and the difference of the segments of the base made by the foot of the altitude. 25. Find a point in one side of a triangle such that the sum of parallels from... | |
 | 1896 - 136 pages
...angle 64 12993. (PW Flood.)— Given the sum of the squares of the sides containing the vertical angle, and the difference of the segments of the base made by the perpendicular, construct the triangle when the product of the base and square of the perpendicular is a maximum 58... | |
 | Mathematics - 1896 - 140 pages
...be equal to a given rectangle, and have the sum of the squares of the sides equal to a given square, and the difference of the segments of the base made by the perpendicular from the vertical angle a given difference ............. 63 12464. (JJ Barniville, BA)— Prove that... | |
 | Education - 1896 - 568 pages
...the axis of the parabola ; prove that ATMN : ATPQ = AG . FP : AF3. 13100. (M. BitiEiiLEY.) — Given the difference of the segments of the base made by the perpendicular from the vertical angle, the difference of the angles at the base, and the rectangle under the sum... | |
 | 1897 - 138 pages
...= 1, and the sum of the given series becomes JTT . log 2'. 13100 & 13151. (M. BRIERLEY.) — Given the difference of the segments of the base made by the perpendicular from the vertex, the difference of the angles at the base and the rectangle under the sum of the sides... | |
 | W. J. C. Miller, D. Biddle - Mathematics - 1901 - 128 pages
...is 180180 ...... 105 1642. 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... | |
 | Education - 1915 - 412 pages
...be equal to a given rectangle, and have the sum of the squares of the sides equal to a given square, and the difference of the segments of the base made by the perpendicular from the vertical angle a given difference. 12688. (D. BIDDLK.)— To divide a circle by parallel chords... | |
 | Dublin city, univ - 1873 - 382 pages
...the products shall be ¡¡4, iSo, arid 208. DR. TRÀILL. 7. Given the sum of the sides of a triangle, the difference of the segments of the base made by the perpendicular from the vertex, and the difference of the base angles ; construct the triangle. 8. Prove that the... | |
 | Electronic journals - 1928 - 606 pages
...triangle, to construct the triangle. 3324 [1928, 261]. Proposed by H. Campbell, St. Johnsbury, Vt. Given the difference of the segments of the base made by the perpendicular to the base from the vertical angle, the difference of the base angles, and the difference of the sides... | |
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CE is equal to the difference of the segments of the base made by the perpendicular. 
