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" To the length of the given side ; So is the sine of the angle opposite the required side. To the length of the required side. "
A Compendious System of Practical Surveying, and Dividing of Land: Concisely ... - 80 ページ
1814 - 227 ページ
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1804 - 226 ページ
...the Angle at A 60°, and the Side AB 200 ; to find the Sides AC and BC. By Natural Sines As the Nat. Sine of the Angle opposite the given Side ; Is to the given Side ; So is the Nat. Sine of the Angle opposite either of the required Sides ; To that required Side. Given Side 200...

A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1808 - 190 ページ
...: : Sine BA£, 60" - 9.93753 : Side BC, 182 12.23856 9.97821 2.26035 By Natural Sines. As the Nat. Sine of the Angle opposite the given Side ; Is to the given Side ; So is the Nat. Sine of the Angle opposite cither of the required Sides ; To that required Side. Given Side 200;...

Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - 1813 - 576 ページ
...when two angles of a triangle, and a side opposite to one of them, is given to find the other side. As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; BO is the given side to the required side. 2. When two...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 ページ
...CASE 1. The angles and one side of any plane triangle being given, to find the other sides. RULE. < * As the sine of the angle opposite the given side, Is to the sine of either of the other given angles, So is the given side, To the side opposite this other angle.*...

A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 388 ページ
...theorem I, the following proportion; As the sine of the angle opposite the given side, To the length of the given side ; So is the sine of the angle opposite the required side. To the length of the required side. As a side is to be found, it is necessary to begin...

A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - 1815 - 172 ページ
...theorem I, the following proportion; As the sine of the angle opposite the given side, To the length of the given side; So is the sine of the angle opposite the required side, To the length of the required side. As a side is to be found, it is necessary to begin...

The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824 - 440 ページ
...theorem I, the following proportion ; As the sine of the angle opposite the given side, To the length of the given side ; So is the sine of the angle opposite the required side. To the length of the required side. As a side is to be found, it is necessary to begin...

A System of Geometry and Trigonometry: With a Treatise on Surveying ... in ...

Abel Flint - 1830 - 322 ページ
...BAC, 60° : side BC, 182 2.301030 9.937531 12.328561 9.9782U6 2.260355 BY NATURAL SINES. As THE NAT. SINE OF THE ANGLE OPPOSITE THE GIVEN SIDE IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE ANGLE OPPOSITE EITHER OF THE REQUIRED SIDES TO THAT REQUIRED SIDE. Given side 200...

The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - 1831 - 520 ページ
...theorem 1, the following prdportion ; As the sine of the angle opposite the given side. To the length of the given side ; So is the sine of the angle opposite the required side, To the length of the required side. As a side is to be found, it is necessary to begin...

A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - 1835 - 368 ページ
...side AB, 200 - 2.301030 : : sine BAC, 60° - 9.937531 12.328561 9.978206 BY NATURAL SINES. AS THE NAT. SINE OF THE ANGLE OPPOSITE THE GIVEN SIDE IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE ANGLE OPPOSITE EITHER OF THE REQUIRED SIDES TO THAT REHUIRED SIDE. Given side 200...




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