| 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... | |
| |