| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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,... | |
| Charles Davies - Trigonometry - 1849 - 372 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... | |
| Thomas Kentish - Geometrical drawing - 1852 - 258 pages
...thus GA is the secant of the arc CB, or angle CAB ; and AH is the secant of the arc CF, or angle CAF. **The versed sine of an arc is the part of the diameter intercepted between** the arc and its sine : thus DB is the versed sine of CB. - The cosine, cotangent, and cosecant of an... | |
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