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" To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference... "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page 13
by John Bonnycastle - 1806 - 419 pages
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Land and marine surveying

William Davis Haskoll - 1868 - 252 pages
...angle will be acute. When two sides and their included angle are given. — As the sum of any two sides is to their difference, So is the tangent of half...greater angle, and subtracted from it, gives the less. All the angles having been thus found the remainder may be obtained from the former rule. When two...
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Manual of Rules, Tables & Data for Mechanical Engineers ...

Daniel Kinnear Clark - Engineering - 1878 - 1022 pages
...the included angle are gii'cn. RULE 4. To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half...opposite angles to the tangent of half their difference — add this half difference to the half sum, to find the greater angle; and subtract the half difference...
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Treatise on the Arrangement, Application, and Use of Slide Rules: Containing ...

Thomas Dixon - Logarithms - 1881 - 230 pages
...included angle are given. BULK — As the sum of the two given sides, Is to the difference of those sides, So is the Tangent of half the sum of their opposite Angles. To the Tangent of half their difference. The half sum + half difference = the greater angle Do. - — - - do. - - - = the lesser do. then The...
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Land and Marine Surveying in Reference to the Preparation of Plans for Roads ...

William Davis Haskoll - Hydrographic surveying - 1886 - 354 pages
...angle will be acute. When two sides and their included angle are given. — As the sum of any two sides is to their difference, So is the tangent of half...greater angle, and subtracted from it, gives the less. All the angles having been thus found, the remainder may be obtained from the former rule. When two...
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Manual of Rules, Tables, and Data for Mechanical Engineers: Based on the ...

Daniel Kinnear Clark - Engineering - 1889 - 1020 pages
...the included angle are given. RULE 4. To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half...opposite angles to the tangent of half their difference — add this half difference to the half sum, to find the greater angle; and subtract the half difference...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...links 2-538485 KULE II. — As the sum of the two given sides is to the difference of those sides, so is the tangent of half the sum of their opposite angles to the tangent of half their difference. This half difference, added to the half sum, will give the greater angle, and taken from the half sum...
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Industrial Engineering: A Handbook of Useful Information for ..., Volume 1

William Miller Barr - Engineering - 1918 - 650 pages
...and the included angle are given. Rule 4. To find the other side: as the sum of the two given sides is to their difference, so is the tangent of half...opposite angles to the tangent of half their difference — add this half difference to the half sum to find the greater angle, and subtract the half difference...
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