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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. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Side 305
af Miles Bland - 1819 - 377 sider
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 sider
...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...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 362 sider
...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...
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382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883 - 212 sider
...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...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - 360 sider
...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...
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Plane Geometry

William James Milne - 1899 - 258 sider
...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,...
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Plane and Solid Geometry

William James Milne - 1899 - 396 sider
...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,...
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Key to Milne's Plane and Solid Geometry

William James Milne - 1899 - 326 sider
...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*...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1908 - 386 sider
...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...
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The American Mathematical Monthly: The Official Journal of the ..., Bind 30

1923 - 494 sider
...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....
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Lady's and Gentleman's Diary

1835 - 444 sider
...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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