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 195
A prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others are parallelograms . a V. a A parallelepiped is a solid figure contained by six ...
A prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others are parallelograms . a V. a A parallelepiped is a solid figure contained by six ...
Página 199
THEOR a If a solid parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes , it will be cut into two equal prisms . Let AB be a solid parallelopiped , and DE , CF the diagonals of the opposite ...
THEOR a If a solid parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes , it will be cut into two equal prisms . Let AB be a solid parallelopiped , and DE , CF the diagonals of the opposite ...
Página 200
Therefore the prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . Q. E. D. N. B. The insisting straight lines of a parallelepiped , mentioned in the following ...
Therefore the prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . Q. E. D. N. B. The insisting straight lines of a parallelepiped , mentioned in the following ...
Página 201
contain the prism DAG are similar and equal to those which contain the prism HLN , each to each ; and the contiguous planes are also ... as also AE and LK , are cut by the same plane DN : therefore the prisms DAG , HLN are equal ( 1. 3.
contain the prism DAG are similar and equal to those which contain the prism HLN , each to each ; and the contiguous planes are also ... as also AE and LK , are cut by the same plane DN : therefore the prisms DAG , HLN are equal ( 1. 3.
Página 204
From this it is manifest , that prisms upon triangular bases , and of the same altitude , are to one another as their ... Also a prism and a parallelepiped , which have the same al . titude , are to one another as their bases ; that is ...
From this it is manifest , that prisms upon triangular bases , and of the same altitude , are to one another as their ... Also a prism and a parallelepiped , which have the same al . titude , are to one another as their bases ; that is ...
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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 |