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The Versed Sine of an arc, is the part of the diameter intercepted between the arc and its sine.
A System of Plane and Spherical Trigonometry: To which is Added a Treatise ... - Page 9
by Richard Wilson - 1831 - 330 pages

## Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...perpendicularly upon the diameter, drawn through the other end of the arc. So BE is the sine of AB or of BCI>« The versed sine of an arc is the part of the diameter betweeu the sine and the beginning of the arc. So AE i* the versed sine of AB, and DE the versed sine...

## A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...of the supplemental arc BDE. Hence the sine (BF) is half the chord (BG) of the double arc (BAG). 8. The Versed Sine of an arc, is the part of the diameter in» tercepted between the arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed...

## A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...of the supplemental arc BDE. Hence the sine (BF) is half the chord (EG) of the double arc (BAG). 8. The Versed Sine of an arc, is the part of the diameter intercepted between the arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc EDB....

## Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 4

Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 476 pages
...perpendicular to the diameter passing through the other extremity : thus BF is the sine of the arc AB, or BD. The versed sine of an arc is the part of the diameter, intercepted between the arc and its sine: AF, is the versed sine of AB, and DF, of the arc DB. The co-sine of an arc is...

## A pocket encyclopędia, or library of general knowledge

Edward Augustus Kendall - 1811 - 462 pages
...perpendicular to the diameter passing through the other extremity : thus BF is the sine of the arc AB, or BD. The versed sine of an arc is the part of the diameter, intercepted between the arc and its sine: AF, is the versed sine of AB, and DF of the aro DB. The co-sine of an arc is...

## A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...of the supplemental arc DDE. Hence the sine (BF) is half the chord (BG) of the double arc (BAG). 8. The Versed Sine of an arc, is the part of the diameter intercepted between the arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc EDO....

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...tangent drawn, through the other extremity. Thus CT is the secant of the arc AM, or of the angle ACM. The versed sine of an arc, is the part of the diameter...one extremity of the arc and the foot of the sine. Thus, AP is the versed sine of the arc AM, or the angle ACM. These four lines MP,.AT, CT, AP, are dependent...

## A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - Conic sections - 1844 - 234 pages
...the centre of the circle and the extremity of the tangent. Thus CG is the secant of the arc AB. 6. The versed sine of an arc is the part of the diameter intercepted between one end of the arc, and the sine which passes through the other end. Thus AF is the versed sine of AB,...