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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 8
by Benjamin Peirce - 1836 - 71 pages
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The Elements of Plane and Spherical Trigonometry

Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...adjacent parts are a, 90°—b; opposite parts are c, 90°— A. 115. Napier's rule of the Circular Parts. The sine of the middle part is equal to the product of the tangents of the adjacent parts; and the sine of the middle part is equal to the product of the cosines...
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The Civil-engineer & Surveyor's Manual

Michael McDermott - Civil engineering - 1879 - 540 pages
...angle. We will arrange Napier's rules as follows, where co. = complement of the angles or hypothenuse. Sine of the middle part, Is equal to the product of the tangents of the adjacent parts. Is equal to the product of the cosines of the opposite parts. Sine...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 232 pages
...I. The sine of the middle part is equal to the product of the tāagents of the aājacent parts. Rule II. The sine of the middle part is equal to the product of the cosincs of the apposite parts. These Rules are easily remembered by the expressions, tan. ad. and cos....
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 160 pages
...immediately adjacent are called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the tangents of the aAjacent parts. Rule II. The sine of the middle part is equal to the product of the...
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Plane and Spherical Trigonometry: G. A. Wentworth ...

George Albert Wentworth - Trigonometry - 1884 - 330 pages
...immediately adjacent are called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the \asigents of the aAjacent parts. Rule II. The sine of the middle part is equal to the product of the...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth - 1887 - 346 pages
...I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. Rule II. The sine of the middle part is equal to the product of the famines, of the opposite parts. These Rules are easily remembered by the expressions, tan. ad. and...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 200 pages
...are called the adjacent parts, and the remaining two the opposite parts. Then Napier's rules are : I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 196 pages
...are : I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product cf the cosines of the opposite parts. 146. Napier's rules may be proved by taking each of the circular...
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Academic Trigonometry: Plane and Spherical

Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...the complements of the opposite angles, and the complement of the hypotenuse. His rules are : RULE I. The sine of the middle part is equal to the product of the iangents of the adjacent parts. (4) | cos Л = cosa cos 6 = cot A cot J5|(4) I. By (Сотр. Ay.)...
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Elementary Trigonometry, Plane and Spherical

Edwin Pliny Seaver - Trigonometry - 1889 - 306 pages
...of a middle part is equal to the product of the tangents of the adjacent parts. (ii) The sine of a middle part is equal to the product of the cosines of the opposite parts* To prove these rules, let them be applied to the spherical right triangle (Fig. 69),...
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