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Bøker Bok 3140 av 48The VERSED SINE of an arc is that part of the diameter which is between the sine...
" The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. "
The New American Practical Navigator; Being an Epitome of Navigation ... - Side 6
av Nathaniel Bowditch - 1846 - 451 sider
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - 1851 - 444 sider
...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 diameter which is intercepted between the foot of the sine and the arc. The tangent of an arc is limited by...
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A course of mathematics: containing the principles of plane trigonometry ...

Jeremiah Day - 1851
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus, BA is the versed sine of the arc AG. 84. The TANGENT of...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 sider
...cotangent, and cosecant of the arc EP, are respectively the cosine, cotangent, and cosecant of the Z. EAP. The versed sine of an arc, is that part of the diameter of the circle, vhich is contained between the sine and the arc. Thus DE is the versed sine of the arc...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...have occasion to refer to but one circular function not already defined. It is called the versed sine. The versed sine of an arc, is that part of the diameter intercepted between the point where the measuring arcs begin and the foot of the sine. It is designated,...
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The Popular Educator, Volum 6

1855
...or the chord of 60°, is equal to the radius ; hence the sine of SO0 is equal to half of the radius. The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of 'the are A P. The tangent of...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - 1855 - 178 sider
...the radius (Geom., Prop. IV., B. VI.); hence the sine of 30° is equal to half of the radius. (23.) The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of the arc AF. (24). The tangent...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1857 - 448 sider
...have occasion to refer to but one circular function not already defined. It is called the versed sine. The versed sine of an arc, is that part of the diameter intercepted between the point where the measuring arcs begin and the foot of the sine. It is designated,...
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A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 450 sider
...arc ; DG is also the tangent of the arc AE, and CG the secant of the arc AE, the supplement of AD. The versed sine of an arc is that part of the diameter contained between the sine and the arc ; thus FD is the versed sine of the arc AD, and FE is the versed sine of the supplemental arc AE. If the arc...
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ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...the radius (Geom., Prop. IV., B. VI.) ; hence the sine of 30° is equal to half of the radius. (23.) The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GrA is the versed sine of the arc AF. (24). The tangent...
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A practical treatise on ... land and engineering surveying

1863
...the arc perpendicular to the diameter, as BF, or the supplement to the arc BD E. (Fig. 1, Plate 28.) The versed sine of an arc is that part of the diameter intercepted between the arc and its sine ; as AF is the versed sine of the arc A B. The tangent of...
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