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" The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. "
Elemento of Geometry, Theoretical and Practical: Containing a Full ... - Page 170
by George Clinton Whitlock - 1848 - 324 pages
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811 - 424 pages
...to the 2d volume, a few of 'the principal definitions, there given, are here repeated, as follows : The SINE of an arc is the perpendicular let fall from one of its extremities upon the diameter of the circle which passes through the other extremity. The COSINE...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812 - 624 pages
...to the 1 st volume, a few of the principal definitions, there given, are here repeated, as follows : The SINE of an arc is the perpendicular let fall from one of its extremities upon the diameter of the circle which passes through the other extremity. The COSINE...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...to the 1st volume, a few of the principal definitions, there given, are here repeated, as follows : The SINE of an arc is the perpendicular let fall from one^ of its extremities upon the diameter of the circle which passes .through the other extremity. The COSINE...
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An Elementary Treatise on Plane and Spherical Trigonometry and on the ...

Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...AM, the line P'M' is also the sine of the arc AM', and so of the others. It follows from this, that the sine of an arc is the perpendicular let fall, from one extremity of this arc upon the radius, which passes through the other extremity. The lines CP. CP', CP", &c. which...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 286 pages
...part. Of the Sine. (5.) The sine of an arc or of the angle which it measures, is the perpendicular, from one extremity of the arc, upon the diameter passing through the other extremity: thus CS is the sine of the arc BC; C, S, is the sine of the arc BC,; C4 S2 is the sine of the arc BC2;...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the sum of either two angles, is always positive. GENERAL IDEAS RELATING TO TRIGONOMETRICAL LINES. V. The sine of an 'arc is the perpendicular let fall from one extremity of the arc, on the diameter which passes through the other extremity. Thus, MP is the sine of the arc AM, or of...
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Solutions of the Cambridge Problems, from 1800 to 1820, Volume 1

John Martin Frederick Wright - Mathematics - 1836 - 698 pages
...the value of m. It is not, however, founded on such obvious principles as the preceding method. 427. The sine of an arc is the perpendicular let fall from one extremity of the arc, lipón the diameter passing through the other. By the perpendiculars let fall from each extremity of...
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...Thus, GF is the supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the djameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...trigonometrical lines, we now proceed to explain the nature and properties. THE SINE. 14. The sine of an arc is a perpendicular let fall from one extremity of the arc upon the diameter drawn through the other extremity. Thus the line MP is the sine of the arc AM. The same line MP is...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...Thus, Gfis the supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The...
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