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" ... angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. "
A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ... - Pągina 70
per Jeremiah Day - 1815 - 126 pągines
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824
...remaining side, and An opposite angle, \ One of the required angles is found, by beginning with a -Tide, and, according to theorem I, stating the proportion....formed, each of which will satisfy the conditions ofthe problem. Let the side /i, (Fig. 28.) the angle A, and the length of the side opposite this angle...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - 1853 - 5 pągines
...sine of that angle. The third angle is found, by subtracting the sum of the other two from 1811°; and the remaining side is found, by the proportion...second case, if the side opposite to the given angle he shorter than the other given side the solution will be ambiguous. Two different triangles may be...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - 1855 - 178 pągines
...opposite the given angle : the sine of that angle :: the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side BC, opposite the given an- c gle A, is shorter than the...
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The Popular Educator, Volum 6

1855
...the yiccn anyle : the sine of tJuit angle : : the othtr given side : the sine of the opposite unyie. The third angle is found by subtracting the sum of the other two from 180°, and the third side is found as in Case 1. If the side в с, opposite the given angle A, is shorter than the...
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ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...opposite the given angle : the sine of that angle : : the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side EC, opposite the given an- c gle A, is shorter than the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 pągines
...opposite the given angle : the sine of that angle : : the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side BC, opposite the given an- „ gle A, is shorter than...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - 1888 - 182 pągines
...angles of another triangle, then the third angles must also be equal. For the third angle in each case is found by subtracting the sum of the other two from 180° ; and the sum of the other two in each case is the same (Ax. 2) ; and if equals be taken from equals, the remainders...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - 1888 - 182 pągines
...angles of another triangle, then the third angles must also be equal." For the third angle in each ease is found by subtracting the sum of the other two from 180° ; and the sum of the other two in each case is the same (Ax. 2) ; and if equals be taken from equals, the remainders...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1907 - 1129 pągines
...the side opposite the required angle as the sine of the given angle is to the sine of the required angle. The third angle is found by subtracting the sum of the other two from 180", and the third side is found as in Case I. CASK m. Given two sides and the included angle, to find the third...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1902 - 1129 pągines
...the side opposite the required angle as the sine of the given angle is to the Bine of the required angle. The third angle is found by subtracting the sum of the other two from 180», and the third side is found as in Case I. CASE III Given two sides and the included angle, to find the third...
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