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, Edlemnts of Plane and Spherical Trigonometry |
Dentro del libro
Página 3
In like manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition ...
In like manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition ...
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 11
In like manner , in the triangle ACG , the angle CAG is equal to the angle CGA , because the side AC is equal to CG or DF . Hence , then , the angle BAG being equal to the angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
In like manner , in the triangle ACG , the angle CAG is equal to the angle CGA , because the side AC is equal to CG or DF . Hence , then , the angle BAG being equal to the angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Página 13
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
Página 14
... to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ACD , is greater than BAE : In the same manner , if the ...
... to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ACD , is greater than BAE : In the same manner , if the ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction 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, Edlemnts of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |