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" ... theorems, called, from their celebrated inventor, Napier's Rules. In these rules, the complements of the hypothenuse and the angles are used instead of the hypothenuse and the angles themselves, and the right angle is neglected. Of the five parts,... "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 145
by Benjamin Peirce - 1845 - 449 pages
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First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...the right angle is neglected. Of the five parts, then, the legs, the complement of the hypothenuse and the complements of the angles ; either part may...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 right angle is neglected. Of the five parts, then, the legs, the complement of the hypothenuse and the complements of the angles; either part may...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 - 242 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...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 the cosines of the two opposite...
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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 - 520 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 - 628 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 208 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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