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 44
Página
... but in some cases removed imperfections that probably belonged to the original work : though his extreme partiality for his author never permitted him to suppose that such honour could fall to the share either of himself ...
... but in some cases removed imperfections that probably belonged to the original work : though his extreme partiality for his author never permitted him to suppose that such honour could fall to the share either of himself ...
Página 9
the side BA must fall on the side ED ; and , in like manner , because the angle C is equal to the angle F , the side AC must fall on the side DF . Hence , the point A , occurring at the same time in the two straight lines 2 OF GEOMETRY ...
the side BA must fall on the side ED ; and , in like manner , because the angle C is equal to the angle F , the side AC must fall on the side DF . Hence , the point A , occurring at the same time in the two straight lines 2 OF GEOMETRY ...
Página 10
occurring at the same time in the two straight lines ED and FD , must fall on their intersection D ; consequently , the two triangles BAC , EDF , are identical , or mutually equal ( Ax . 8. ) . COROLLARY . Whenever in two triangles ...
occurring at the same time in the two straight lines ED and FD , must fall on their intersection D ; consequently , the two triangles BAC , EDF , are identical , or mutually equal ( Ax . 8. ) . COROLLARY . Whenever in two triangles ...
Página 19
If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the ...
If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the ...
Página 20
Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXI . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ...
Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXI . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ...
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 distance 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 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 |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |