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 xii
The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of Geometry . 4 1 The Book of the Data has ...
The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of Geometry . 4 1 The Book of the Data has ...
Página 196
A cylinder is a solid figure described by the revolution of a right angled parallelogram about one of its sides , which remains fixed . 1 XV . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
A cylinder is a solid figure described by the revolution of a right angled parallelogram about one of its sides , which remains fixed . 1 XV . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
Página 213
I from any point in the circumference of the base of a cylinder , a straight line be drawn 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 circle ...
I from any point in the circumference of the base of a cylinder , a straight line be drawn 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 circle ...
Página 214
A cylinder and a parallelepiped having equal bases and altitudes , are equal to one another . Let ABCD be a cylinder , and EF a parallelepiped having equal bases , viz . the circle AGB and the parallelogram EH , and having also equal ...
A cylinder and a parallelepiped having equal bases and altitudes , are equal to one another . Let ABCD be a cylinder , and EF a parallelepiped having equal bases , viz . the circle AGB and the parallelogram EH , and having also equal ...
Página 215
If a core and a cylinder have the same base and the same altitude , the cone is the third part of the cylinder . Let the cone ABCD , and the cylinder BFKG have the same base , viz . the circle BCD , and the same altitude , viz . the ...
If a core and a cylinder have the same base and the same altitude , the cone is the third part of the cylinder . Let the cone ABCD , and the cylinder BFKG have the same base , viz . the circle BCD , and the same altitude , viz . the ...
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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