Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página 126
... prism is a solid figure having any number of faces , two of which are similar and equal rec- tilineal figures , so placed as to have their corresponding sides parallel , and the rest parallelograms . Such a figure may be formed by 2. If ...
... prism is a solid figure having any number of faces , two of which are similar and equal rec- tilineal figures , so placed as to have their corresponding sides parallel , and the rest parallelograms . Such a figure may be formed by 2. If ...
Página 127
... prism : the polygons are called bases ; the pa- rallelograms , sides ; and the surfaces of the parallelograms together constitute what is called the lateral or convex sur- face of the prism . The altitude of a prism is the perpen ...
... prism : the polygons are called bases ; the pa- rallelograms , sides ; and the surfaces of the parallelograms together constitute what is called the lateral or convex sur- face of the prism . The altitude of a prism is the perpen ...
Página 138
... prism A B C D E F will coincide with the prism abcdef . And because the two prisms may be made to coincide , they are equal to one another ( I. ax . 11. ) . the parallelopipeds are to one another in the ratio parallelopiped 138 [ IV ...
... prism A B C D E F will coincide with the prism abcdef . And because the two prisms may be made to coincide , they are equal to one another ( I. ax . 11. ) . the parallelopipeds are to one another in the ratio parallelopiped 138 [ IV ...
Página 139
... prism are respectively equal , similar , and similarly placed to the sides ac , af of the prism abcdef , it is equal to the prism abcdef , by the former case . Again , because H G is equal to DC , that is to EF , HE is equal to G F ...
... prism are respectively equal , similar , and similarly placed to the sides ac , af of the prism abcdef , it is equal to the prism abcdef , by the former case . Again , because H G is equal to DC , that is to EF , HE is equal to G F ...
Página 140
Therefore , & c . a Cor . 1. If a triangular prism be com- pleted into a parallelopiped ( which may be done by ... prisms KNHEAD , LMGFBC have the edges KN , LM equal to one another , and the dihedral angles at those edges equal ( 17 ...
Therefore , & c . a Cor . 1. If a triangular prism be com- pleted into a parallelopiped ( which may be done by ... prisms KNHEAD , LMGFBC have the edges KN , LM equal to one another , and the dihedral angles at those edges equal ( 17 ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical