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
Página 3
Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B represents their difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner , A − B + C , or A + C ...
Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B represents their difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner , A − B + C , or A + C ...
Página 9
... they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE .
... they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE .
Página 13
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line ...
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line ...
Página 14
to the base CF , and the trian- gle AEB to the triangle CEF , and the remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD ...
to the base CF , and the trian- gle AEB to the triangle CEF , and the remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD ...
Página 20
to two right angles , the angles AGH , BGH are equal to the angles BGH , E G B H D F GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ...
to two right angles , the angles AGH , BGH are equal to the angles BGH , E G B H D F GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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 |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |