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 28
Side 197
... pyramid is a folid figure contained by planes that are confti- tuted betwixt one plane and one point above it in which they meet . XIII . A prifm is a folid figure contained by plane figures of which two that are oppofite are equal ...
... pyramid is a folid figure contained by planes that are confti- tuted betwixt one plane and one point above it in which they meet . XIII . A prifm is a folid figure contained by plane figures of which two that are oppofite are equal ...
Side 257
... pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be divi- ded into two equal and fimilar pyramids . having triangular bafes , and fimilar to the whole ; and into ...
... pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be divi- ded into two equal and fimilar pyramids . having triangular bafes , and fimilar to the whole ; and into ...
Side 258
... pyramid the bafe of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a fide of ... pyramid of which the bafe is the triangle ABC , and vertex the point D , i B & is therefore fimilar to the pyramid of ...
... pyramid the bafe of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a fide of ... pyramid of which the bafe is the triangle ABC , and vertex the point D , i B & is therefore fimilar to the pyramid of ...
Side 259
... pyramid is equal to the pyramid the C. 11 . base of which is the triangle AEG , and vertex the point H ; becaufe they are contained by equal and fimilar planes : Where- fore the prifm having the parallelogram EBFG for its bafe , which ...
... pyramid is equal to the pyramid the C. 11 . base of which is the triangle AEG , and vertex the point H ; becaufe they are contained by equal and fimilar planes : Where- fore the prifm having the parallelogram EBFG for its bafe , which ...
Side 260
... pyramids of the fame altitude , upon triangular bafes , and each of them be divided in- to two equal pyramids fimilar to the whole pyramid , and also into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
... pyramids of the fame altitude , upon triangular bafes , and each of them be divided in- to two equal pyramids fimilar to the whole pyramid , and also into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
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