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 CorrectedP. Wogan, 1803 - 520 sider |
Inni boken
Resultat 1-5 av 14
Side 198
... cylinder are the circles defcribed by the two revolving oppofite fides of the parallelogram . XXIV . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is a folid ...
... cylinder are the circles defcribed by the two revolving oppofite fides of the parallelogram . XXIV . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is a folid ...
Side 269
... cylinder which has the fame base , and is of an equal altitude with it . Let a cone have the fame bafe with a cylinder , viz . the cir- cle ABCD , and the fame altitude . The cone is the third part of the cylinder ; that is , the cylinder ...
... cylinder which has the fame base , and is of an equal altitude with it . Let a cone have the fame bafe with a cylinder , viz . the cir- cle ABCD , and the fame altitude . The cone is the third part of the cylinder ; that is , the cylinder ...
Side 270
... cylinder : this prifmi is greater than half of the cylinder because if a fquare be defcribed about the circle , and a prifm erected upon the fquare , of the fame altitude with the cylinder , the infèribed fquare is half of that ...
... cylinder : this prifmi is greater than half of the cylinder because if a fquare be defcribed about the circle , and a prifm erected upon the fquare , of the fame altitude with the cylinder , the infèribed fquare is half of that ...
Side 271
... cylinder be less than the triple of the cone . Let it be less , if pos- fible : Therefore inversely , the cone is greater than the third part of the cylinder . In the eirële ABCD describe a square ; this fquare is greater than the half ...
... cylinder be less than the triple of the cone . Let it be less , if pos- fible : Therefore inversely , the cone is greater than the third part of the cylinder . In the eirële ABCD describe a square ; this fquare is greater than the half ...
Side 272
... cylinder of which the base is the circle ABCD . But it is alfo lefs , within the cylinder ; which is impoffible . linder is not lefs than the triple of the cone . demonftrated that neither is it greater than the triple . Therefore the ...
... cylinder of which the base is the circle ABCD . But it is alfo lefs , within the cylinder ; which is impoffible . linder is not lefs than the triple of the cone . demonftrated that neither is it greater than the triple . Therefore the ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore