Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página 223
The sine of a quadrant , or E of a right angle , is equal to the radius . Cor . 2. The sine of an arch is half the chord of twice that arch : tbis is evident by producing the sine ' of any arch till it cut the circumference .
The sine of a quadrant , or E of a right angle , is equal to the radius . Cor . 2. The sine of an arch is half the chord of twice that arch : tbis is evident by producing the sine ' of any arch till it cut the circumference .
Página 224
The sine versed sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the measure of the same angle , as the radius of the ...
The sine versed sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the measure of the same angle , as the radius of the ...
Página 225
The sine , tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the side of the angle CBH ; HK the tangent , and BK the secant ...
The sine , tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the side of the angle CBH ; HK the tangent , and BK the secant ...
Página 227
Now , since EL from the centre is perpendicular to CD , it bisects the line CD in Land the arch CAD c in A : DL is therefore equal to LC , or to the sine of the arch AC ; F B and BH or ...
Now , since EL from the centre is perpendicular to CD , it bisects the line CD in Land the arch CAD c in A : DL is therefore equal to LC , or to the sine of the arch AC ; F B and BH or ...
Página 230
... as the square of the radius to the square of the sine of half the angle included between the two sides of the triangle . Let ABC be a triangle , of which BC is the base , and AB the greater of the two sides ; 4AB .
... as the square of the radius to the square of the sine of half the angle included between the two sides of the triangle . Let ABC be a triangle , of which BC is the base , and AB the greater of the two sides ; 4AB .
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Información bibliográfica
| Título | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |