 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...angle to the opposite side, and the perpendicular given, to construct the triangle. 124. Two sides and the difference of the segments of the base made by a perpendicular from the vertical angle to the base given, to construct the triangle. Is there any ambiguity in this Problem... | |
 | William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...plane triangle, as the base is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides... | |
 | Patrick M. Egan - 1883 - 212 pages
...required triangle. EXERCISE 102. Given the vertical angle, tlie difference of the sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex: to construct the triangle. (Fig. 102, Plate VII.)—Let AD equal the difference of the segments of... | |
 | William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...plane trianr/le. as the base is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane trianr/le, as twice the rectangle under any two sides... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...are the men ? Ex. 548. The shortest side of a triangle acute-angled at the base is 45 ft. long, and the segments of the base made by a perpendicular from the vertex are 27 ft. and 77 ft. How long is the other side ? Ex. 549. The sides of a triangle are 25m and 17m,... | |
 | William James Milne - Geometry - 1899 - 396 pages
...are the men ? Ex. 548. The shortest side of a triangle acute.angled at the base is 45 ft. long, and the segments of the base made by a perpendicular from the vertex are 27 ft. and 77 ft. How long is the other side ? Ex. 549. The sides of a triangle are 25m and 17m,... | |
 | William James Milne - Geometry - 1899 - 326 pages
...43.82+ miles. Ex. 548. The shortest side of a triangle acute_angled at the base is 45 ft. long, and the segments of the base made by a perpendicular from the vertex are 27 ft. and 77 ft. How long is the other side ? Solution. § 350, the perpendicular = V452 — '¿T*... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...plane triangle, as the base is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides... | |
 | Mathematicians - 1923 - 494 pages
...thus : "As the longest side : sum of the other two sides :: the difference of the said two sides : the difference of the segments of the base made by a perpendicular let fall from the vertical angle." "Altimetry and Longimetry" deal with the applications of trigonometry.... | |
 | Almanacs, English - 1835 - 444 pages
...and demonstrate it first. " Regiomontanus's Lemma. <l As the difference of the sides of a triangle is to the difference of the segments of the base made by a perpendicular, so is the base to the sum of the sides of the triangle. [Then this is demonstrated.] " My own Lemma.... | |
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Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle. 
