The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 195
... cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right an- gle , which side remains fixed . See Notes . If the fixed side be equal to the other side BOOK XI . 195 THE ...
... cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right an- gle , which side remains fixed . See Notes . If the fixed side be equal to the other side BOOK XI . 195 THE ...
Side 196
... cone is called a right angled cone ; if it be less than the other side , an obtuse angled , and if greater , an acute an- gled cone . XIX . The axis of a cone is the fixed straight line about which the tri- angle revolves . XX . The base of ...
... cone is called a right angled cone ; if it be less than the other side , an obtuse angled , and if greater , an acute an- gled cone . XIX . The axis of a cone is the fixed straight line about which the tri- angle revolves . XX . The base of ...
Side 267
... Cone is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone is the third part of the ...
... Cone is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone is the third part of the ...
Side 268
... together are less ( Lem . ) than the ex- cess of the cylinder above the triple of the cone . Let them be those upon the segments of the circle AE , EB , BF , G C D FC , CG , GD , DH , HA . 268 BOOK XII . THE ELEMENTS OF EUCLID .
... together are less ( Lem . ) than the ex- cess of the cylinder above the triple of the cone . Let them be those upon the segments of the circle AE , EB , BF , G C D FC , CG , GD , DH , HA . 268 BOOK XII . THE ELEMENTS OF EUCLID .
Side 269
... cone , of which the base is the circle ABCD but it is also less , for the pyramid is contained within the cone ; which is impossible . Nor can the cylinder be less than the triple of the cone . Let it be less , if possi- ble therefore ...
... cone , of which the base is the circle ABCD but it is also less , for the pyramid is contained within the cone ; which is impossible . Nor can the cylinder be less than the triple of the cone . Let it be less , if possi- ble therefore ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore