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 |
Dentro del libro
Resultados 1-5 de 28
Página 223
A straight line AE touching the circle at A , one extremity of the arch AC , and meeting the diameter BC , which passes through C the other extremity , is called the Tangent of the arch AC , or of the angle ABC . Cor .
A straight line AE touching the circle at A , one extremity of the arch AC , and meeting the diameter BC , which passes through C the other extremity , is called the Tangent of the arch AC , or of the angle ABC . Cor .
Página 224
Let CB be produced till it meet the circle again in I ; and it is also manifest , that AE is the tangent , and BE the secant , of the angle ABI , or CBF , from Def . 6 , 7 . Cor . to Def . 4,5,6,7 . The sine versed sine , tangent , and ...
Let CB be produced till it meet the circle again in I ; and it is also manifest , that AE is the tangent , and BE the secant , of the angle ABI , or CBF , from Def . 6 , 7 . Cor . to Def . 4,5,6,7 . The sine versed sine , tangent , and ...
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 226
... of that side are to one another as А the tangents of the parts into which the opposite angle is divided by the perpendicular . ... the other side becomes the tangent of the opposite angle , and the hypotenuse the secant of it .
... of that side are to one another as А the tangents of the parts into which the opposite angle is divided by the perpendicular . ... the other side becomes the tangent of the opposite angle , and the hypotenuse the secant of it .
Página 227
The sum of the sines of any iwo arches of a circle , is to the difference of their sines , as the tangent of half the sum of the arches to the tangent of half their difference . Let AB , AC be two arches of a circle ABCD ; let E be the ...
The sum of the sines of any iwo arches of a circle , is to the difference of their sines , as the tangent of half the sum of the arches to the tangent of half their difference . Let AB , AC be two arches of a circle ABCD ; let E be the ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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 |