The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 221
A solid angle is that which is made by more than two plane angles , which are not in the same plane , meeting at one point . 10. Equal and similar solid figures are such as are contained by similar planes equal in number and magnitude .
A solid angle is that which is made by more than two plane angles , which are not in the same plane , meeting at one point . 10. Equal and similar solid figures are such as are contained by similar planes equal in number and magnitude .
Página 222
A cylinder is a solid figure described by the revolution of a right - angled parallelogram about one of its sides which remains fixed . 22. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 23.
A cylinder is a solid figure described by the revolution of a right - angled parallelogram about one of its sides which remains fixed . 22. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 23.
Página 289
This definition is omitted by Simson , and justly , because , as he shews , it is not true that solid figures contained by the same number of similar and equal plane figures are equal to one another . For , conceive two pyramids , which ...
This definition is omitted by Simson , and justly , because , as he shews , it is not true that solid figures contained by the same number of similar and equal plane figures are equal to one another . For , conceive two pyramids , which ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole