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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. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Side 220
av John Martin Frederick Wright - 1836
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 424 sider
...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 ..., Volum 2

Charles Hutton - 1812 - 624 sider
...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 - 1822 - 680 sider
...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 - 1826 - 190 sider
...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 Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 sider
...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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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - 1837 - 342 sider
...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 Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 sider
...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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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 sider
...Thus, G.Fis 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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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1835 - 388 sider
...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 diameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The...
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Elemento of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - 1848 - 338 sider
...— x are complementary arcs. Def. 2. The perpendicular BX is called the sine of the arc AB. Hence the sine of an arc 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...
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