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 |
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Página 28
Produce AD both ways to the points E , F , and through B draw BE parallel to CA ; and through C draw CF parallel to BD : There- fore , each of the figures EBCA , DBCF is a parallelogram ; and EBCA is equal ( 29. 1. ) ...
Produce AD both ways to the points E , F , and through B draw BE parallel to CA ; and through C draw CF parallel to BD : There- fore , each of the figures EBCA , DBCF is a parallelogram ; and EBCA is equal ( 29. 1. ) ...
Página 29
If a parallelogram and a triangle be upon the same base , and between the same parallels ; the parallelogram is double of the triangle . Let the parallelogram ABCD and the tri- angle EBC be upon the same base BC and between the same ...
If a parallelogram and a triangle be upon the same base , and between the same parallels ; the parallelogram is double of the triangle . Let the parallelogram ABCD and the tri- angle EBC be upon the same base BC and between the same ...
Página 30
The complements of the parallelograms which are about the diameter of any parallelogram , are equivalent to one another . A H Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is ...
The complements of the parallelograms which are about the diameter of any parallelogram , are equivalent to one another . A H Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is ...
Página 31
But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC because these also are upon the ...
But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC because these also are upon the ...
Página 38
To describe a parallelogram that shall be equivalent to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a ...
To describe a parallelogram that shall be equivalent to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a ...
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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 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 |