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 6-10 de 28
Página 232
{ BAC ) ) : ( sin . Í BÀC ) . But the cosine of any arch is to the sine , as the radius to the tangent of the same arch ; therefore , ( AB + AC 232 PLANE TRIGONOMETRY : LI ...
{ BAC ) ) : ( sin . Í BÀC ) . But the cosine of any arch is to the sine , as the radius to the tangent of the same arch ; therefore , ( AB + AC 232 PLANE TRIGONOMETRY : LI ...
Página 234
It is evident , that when one of the acute angles of a right angled tri . angle is given , the other is given , being the complement of the former to a right angle ; it is also evident that the sine of any of the acute angles is the ...
It is evident , that when one of the acute angles of a right angled tri . angle is given , the other is given , being the complement of the former to a right angle ; it is also evident that the sine of any of the acute angles is the ...
Página 236
In this case , the angle C may have two values ; for its sine being found by the proportion above , the angle belonging to that sine may either be that which is found in the tables , or it may be the supplement of it , ( Cor . def . 4. ) ...
In this case , the angle C may have two values ; for its sine being found by the proportion above , the angle belonging to that sine may either be that which is found in the tables , or it may be the supplement of it , ( Cor . def . 4. ) ...
Página 237
and therefore its sine is the same with the sine of the sum of ABC and ACB . But BAC ' is the difference of the the angles ACB , ABC ; for it is the difference of the angles ACC and ABC , because ACC , that is ACC is equal to the sum of ...
and therefore its sine is the same with the sine of the sum of ABC and ACB . But BAC ' is the difference of the the angles ACB , ABC ; for it is the difference of the angles ACC and ABC , because ACC , that is ACC is equal to the sum of ...
Página 239
The consequence of this is , that when the sine or cosine of such an angle is given , ( that is , a sine or cosipe nearly equal to the radius , ) the angle itself cannot be very accurately found . If , for instance , the natural sine ...
The consequence of this is , that when the sine or cosine of such an angle is given , ( that is , a sine or cosipe nearly equal to the radius , ) the angle itself cannot be very accurately found . If , for instance , the natural sine ...
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 |