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書籍 If one side and the angles are given ; then As the product of radius and the sine... の書籍検索結果
" If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC... "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - 96 ページ
John Gummere 著 - 1814 - 346 ページ
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - 1848 - 153 ページ
...the triangle? Ans. 1014 square feet. 9. b. If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice...

A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 718 ページ
...TRIGONOMETRY. CASE 1st. Having the angles and one side, to find either of the other sides. RULE. As the sine of the angle opposite the given side, is to the given side, so is, the sine of the angle opposite the required side, to the required side. In the triangle...

A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - 1851
...triangle ? Ans. 1014 square feet. 9. 6. If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the s/mare of the given side, To twice...

A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852
...180° - (A + B) To find b and c. We apply the theorem of Art. 117, and state the proportions thus : the sine of the angle opposite the given side is to the sine of the angle opposite the required side, as the given side is to the required side. Thus we have...

A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - 1863 - 317 ページ
...angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides...

A practical treatise on ... land and engineering surveying, 第 34 巻

Henry S. Merrett - 1863
...angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides...

A Practical Treatise on Mining, Land and Railway Surveying, Engineering, &c ...

Henry Davis Hoskold - 1863 - 249 ページ
...the opposite angles. Rule. — To find a side, begin with the angle opposite the given side; that is, the sine of the angle opposite the given side is to the sine of the angle opposite the required side as the given side is to the required side. And when two...

A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 428 ページ
...side, or two sides and an angle opposite to one of them, being given, to find the rest. RULE. 1. As the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side. 2. As the...

The Cambridge Course of Elementary Physics: Astronomy. Part third, 第 3 部

William James Rolfe, Joseph Anthony Gillet - 1868 - 308 ページ
...the sum of the given angles from 180°. To find the other sides, form a proportion as follows : As the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side. Thus in the...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 ページ
...180° — 80° 44' = 99° 16'. To find 6, write the proportion, sin A : sin B : : a : b ; that is, the sine of the angle opposite the given side, is to the sine of the angle opposite the required side, as the given side is to the, required side. Applying...




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