## 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 |

### Inni boken

Resultat 1-5 av 16

Side 195

A

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 ... Side 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

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 ... Side 200

Therefore the

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 ... Side 201

contain the

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. Side 204

From this it is manifest , that

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 ...### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

### Vanlige uttrykk og setninger

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