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" The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the diameter ; and is terminated by a line drawn from the centre through the other end of the arc ; thus BK is the tangent of the arc BH. "
A System of Geometry and Trigonometry: With a Treatise on Surveying ... in ... - Page 13
by Abel Flint - 1830 - 284 pages
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 159 pages
...2,8062 + chains. OP THE CHORD. A chord is a straight line which joins the two extremities of an arc. The versed sine of an arc is that part of the diameter contained between the chord and the arc. PROBLEM VIII. The chord and versed sine given, to find the...
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - Geometry - 1835 - 334 pages
...length till they come to the centre, and so become the radius, after which they diminish. — Hence it is plain that the sine of 90 degrees is the greatest...circumference ; thus LB is the versed sine of the arc HB. Fig. "I. 23. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...perpendicular to the diameter which passes through the other end. The sine is half the chord of double the arc. The versed sine of an arc is that part of the. diameter which is between the sine and the arc. The tangent of an arc, is a straight line drawn perpendicular...
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A System of Geometry and Trigonometry, with a Treatise on Surveying: In ...

Abel Flint - Geometry - 1837 - 272 pages
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 21. The versed sine of an arc is that part of the diameter...thus LB is the versed sine of the arc HB, Fig. 7. 22. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the...
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - Geometry - 1838 - 334 pages
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 21. The versed sine of an arc is that part of the diameter...circumference; thus LB is the versed sine of the arc HB, Fig. 1. 22. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838
...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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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1839 - 370 pages
...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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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - Arithmetic - 1842 - 166 pages
...increase in length till becoming radius, decreasing after. Hence, radius is the greatest possible sine. 6. The versed sine of an arc, is that part of the diameter or radius which is between the sine and circumference. 7. The tangent of an arc is a right line touching the circumference, and drawn perpendicular...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 12 pages
...arc, perpendicular to the radius or diameter, as o to I of the figure, when longer or shorter. 29. The versed sine of an arc, is that part of the diameter or radius, which is between the sine and circumference, as I to C of the figure in the margin. 30. The tangent of an arc is a right line, which...
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Elementary and Practical Arithmetic: On the Inductive System, by Analysis ...

Charles Waterhouse - Arithmetic - 1844 - 216 pages
...perpendicular to the radius or diameter, as o to I of the figure, when longer or shorter. 29. The vetted sine of an arc, is that part of the diameter or radius, which is between the sine and circumference, as I to C of the figure in the margin. 30. The tangent of an arc is a right line, which...
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