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Books Books 1 - 10 of 16 on SINE of an arc, or of the angle measured by that arc, is the perpendicular let fall....
" SINE of an arc, or of the angle measured by that arc, is the perpendicular let fall from one extremity of the arc, upon the diameter passing through the other extremity. The COSINE is the distance from the centre to the foot of the sine. "
Elements of trigonometry, plane and spherical: adapted to the present state ... - Page 14
by Charles William Hackley - 1838 - 307 pages
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry ...

John Leslie - 1809 - 524 pages
...an arc is its defect from a quadrant ; and its supplement is its defect from a semicircumference. 2. The sine of an arc is a perpendicular let fall from one of its extremities upon a diameter passing through the other. 3. The versed sine of an arc is that...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...difference from a semicircle ; and the supplement of an angle is its differ" ence from two right angles. 13. The sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through the other. 14. The versed sine of an arc is that part of the diameter...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824
...quadrant, or between an angle and a right angle, is called the complement of the arc or the angle. Cor. 6. The sine of an arc is a perpendicular let fall from one of its extremities upon the diameter which passes through the other extremity. Cor. 7. The versed sine...
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Elements of geometry, theoretical and practical: containing a full ...

George Clinton Whitlock - Mathematics - 1848 - 324 pages
...arcs. Def. 2. The perpendicular BX is called the sine of the arc AB. Hence the sine of an drc is the perpendicular let fall from one extremity of the arc upon the diameter passing through the other extremity of the same arc. Def. 3. AT is the tangent of AB. Def. 4. OT is...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 372 pages
...versa. The trigonometrical lines are sometimes called trigonometrical functions* of an arc or angle. Of these trigonometrical lines, we now proceed to...sine of the arc BM, because it is a perpendicular let fair from one extremity M of the arc upon the diameter drawn through the other extremity B. 15. Two...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 372 pages
...versfi. The trigonometrical lines are sometimes called trigonometrical functions* of an arc or angle. Of these trigonometrical lines, we now proceed to...the arc AM. The same line MP is likewise the sine of tho arc DM, because it is a perpendicular let fall from one extremity M of the arc upon the diameter...
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - Machine design - 1851 - 444 pages
...difference from a semicircle, and the supplement of an angle is its difference from two right angles. The sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through-the other extremity. The versed sine of an arc is that part of the...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852
...several trigonometric lines may be traced as follows. 1st. The sine being, by Art. 21, the perpendicular from one extremity of the arc upon the diameter drawn through the other extremity, we shall have sin AB = BС, sin AB' = B' С', sin A A" B" = B" С', sшAA"B" we have B"' о, and if...
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A TREATISE ON PLANE AND SPHERICAL TRIGONOMETRY.

WILLIAM CHAUVENET - 1855
...whose radius is unity, the sine of an arc, or of the angle at the center measured by; that arc, is the perpendicular let fall from one extremity of the arc upon the diameter passing through the other extremity. The trigonometric tangent is that part of the tangent drawn at...
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Mathematics for practical men: being a common-place book of principles ...

Olinthus Gregory - 1863
...difference from a semicircle, and the supplement of an angle is its difference from two right angles. 6. The sine of an arc is a perpendicular let fall from one extremitv upon a diameter passing through the other. • 7. The versed sine of an arc is that part...
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