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 190
A cylinder is a solid figure described by the revolution of a right angled parallelogram about one of its sides , which remains fixed . 15. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 16.
A cylinder is a solid figure described by the revolution of a right angled parallelogram about one of its sides , which remains fixed . 15. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 16.
Página 205
If from any point in the circumference of the base of a cylinder , a straight line be drau : n perpendicular to the plane of the base , it will be wholly in the cylindric superficies . Let ABCD be a cylinder of which the base is the ...
If from any point in the circumference of the base of a cylinder , a straight line be drau : n perpendicular to the plane of the base , it will be wholly in the cylindric superficies . Let ABCD be a cylinder of which the base is the ...
Página 206
But AD is always in the superficies of the cylinder , for it describes that superficies ; therefore , EF is also in the superficies of the cylinder . PROP . XVII . THEOR . A cylinder and a parallelopiped having equal bases and altitudes ...
But AD is always in the superficies of the cylinder , for it describes that superficies ; therefore , EF is also in the superficies of the cylinder . PROP . XVII . THEOR . A cylinder and a parallelopiped having equal bases and altitudes ...
Página 207
part EQ by a plane PQ parallel to NF , equal to the cylinder ABCD . In the circle AGB inscribe the polygon AGKBLM that shall differ from the circle by a space less than the parallelogram PH ( Cor . 1. 4. 1. Sup . ) ...
part EQ by a plane PQ parallel to NF , equal to the cylinder ABCD . In the circle AGB inscribe the polygon AGKBLM that shall differ from the circle by a space less than the parallelogram PH ( Cor . 1. 4. 1. Sup . ) ...
Página 208
Because the polygon BECFD is greater than the circle LIM , the prism BCFKHG is greater than the cylinder LMNO , for they have the same altitude , but the prism has the greater base . But the pyramid ABECFD is the third part of the prism ...
Because the polygon BECFD is greater than the circle LIM , the prism BCFKHG is greater than the cylinder LMNO , for they have the same altitude , but the prism has the greater base . But the pyramid ABECFD is the third part of the prism ...
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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 distance 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 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 |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
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