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" NAPIER'S CIRCULAR PARTS. Thus, in the spherical triangle A. BC, right-angled at C, the circular parts are p, b, and the complements of h, A, and B. 167. When any one of the five parts is taken for the middle part, the two adjacent to it, one on either... "
An Elementary Treatise on Plane and Spherical Trigonometry: With Their ... - Page 125
by Benjamin Peirce - 1861 - 359 pages
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First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...the hypothenuse and the angles themselves, and the right angle is neglected. Of the five parts, then, the legs, the complement of the hypothenuse and the...parts, including the middle part on each side, are (478) called the adjacent parts ; and the other two parts are called the opposite parts. The two theorems...
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First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 84 pages
...the hypothenuse and the angles themselves, and the right angle is neglected. Of the five parts, then, the legs, the complement of the hypothenuse and the...parts, including the middle part on each side, are (473) called the adjacent parts ; and the other two parts are called the opposite parts. The two theorems...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...parts which, or their complements, are immediately contiguous to it, or its complement, in position, are called the adjacent parts; and the other two parts are called the opposite parts. Then, whatever the middle part be, whether a side, or the complement of the hypothenuse, or of an angle,...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...the right angle is neglected. Of the five parts, then, the legs, the complement of the hypotheuuse, and the complements of the angles ; either part may...other two parts are called the opposite parts. The two theorems are as follows. Napier's Rules. II. The sine of the middle part is equal to the product of...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 292 pages
...parts which, or whose complements, are immediately contiguous to it, or its complement, in position, are called the adjacent parts ; and the other two parts are called the opposite parts. Then, whatever the middle part be, whether a side, or the complement of the hypothenuse, or the complement...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...When any one of the five parts is taken for the middle part, the two adjacent to it, one on either side, are called the adjacent parts, and the other two parts are called the opposite parts. Then, whatever be the middle part, we have as THE EULES OF NAPIER. I. The sine of the middle part is...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...When any one of the five parts is taken for the middle part, the two adjacent to it, one on either side, are called the adjacent parts, and the other two parts are called the opposite parts. Then, whatever be the middle part, we have as THE RULES OF NAPIER. I. The sine of the middle part is...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
..."When any one of the five parts is taken for the middle part, the two adjacent to it, one on either side, are called the adjacent parts, and the other two parts are called the opposite parts. Then, whatever be the middle part, we have as THE RULES ov NAPIKR. I. The sine of the middle part is...
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Dictionary of Scientific Terms

P. Austin Nuttall - 1869 - 352 pages
...Circular parts consist of the fine parts of a right-angled or a quadrantal spherical triangle ; they are the legs, the complement of the hypothenuse. and the complements of the two ohlique angles. — Circular sailing, in navigation, is the art of sailing on the arc" of a great...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...When any one of the five parts is taken for the middle part, the two adjacent to it, one on either side, are called the adjacent parts, and the other two parts are called the opposite parts. Then, whatever be the middle part, we have as THE RULES OP NAPIER. I. The sine of the middle part is...
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