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 21
Things which are doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same ...
Things which are doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same ...
Página 45
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle 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 parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
Página 47
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle 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 parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
Página 48
to the triangle AEC , since they are upon equal bases BE , EC , and between the same parallels BC AG ; therefore the triangle ABC is double of the triangle AEC . D And the parallelogram FECG is B E likewise double ( 41 , 1 ) of the ...
to the triangle AEC , since they are upon equal bases BE , EC , and between the same parallels BC AG ; therefore the triangle ABC is double of the triangle AEC . D And the parallelogram FECG is B E likewise double ( 41 , 1 ) of the ...
Página 52
But the parallelogram BL is double ( 41. 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 ( 41. 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 ...
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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 |