Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with Archimede's Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles. Also, Euclide's Data, and A Brief Treatise [added by Flussas] of Regular SolidsW. and J. Mount, 1751 - 384 sider |
Inni boken
Resultat 1-5 av 20
Side 196
... Pyramid is a folid figure comprehended under divers planes fet upon one plane ( which is the base of the pyramid , ) and gathered together to one point . XIII . A Prism is a folid figure contained under planes , whereof the two oppofite ...
... Pyramid is a folid figure comprehended under divers planes fet upon one plane ( which is the base of the pyramid , ) and gathered together to one point . XIII . A Prism is a folid figure contained under planes , whereof the two oppofite ...
Side 214
... pyramid , the laft is at the fupreme point thereof . Ex . gr . the folid angle ABCD is at the point A ; and the fupreme point of the pyramid BCDA is at the point A , and the bafe is the triangle BCD . The End of the Eleventh Boo K. THE ...
... pyramid , the laft is at the fupreme point thereof . Ex . gr . the folid angle ABCD is at the point A ; and the fupreme point of the pyramid BCDA is at the point A , and the bafe is the triangle BCD . The End of the Eleventh Boo K. THE ...
Side 216
... Pyramid ABCD having a triangular bafe , may be divided into two pyramides AEGH , HIKC , equal , and like one to the ... pyramid ABDC . Divide Divide the fides of the pyramid into two parts at 216 The Twelfth Book of.
... Pyramid ABCD having a triangular bafe , may be divided into two pyramides AEGH , HIKC , equal , and like one to the ... pyramid ABDC . Divide Divide the fides of the pyramid into two parts at 216 The Twelfth Book of.
Side 217
... pyramid BE FI , that is , than AEGH , the whole than its part ; and confequently the two prifms are greater than the two pyramids and fo exceed the half of the whole pyramid ABDC . Which was to be dem . PROP . IV . Fig . 16 , 17 . ; If ...
... pyramid BE FI , that is , than AEGH , the whole than its part ; and confequently the two prifms are greater than the two pyramids and fo exceed the half of the whole pyramid ABDC . Which was to be dem . PROP . IV . Fig . 16 , 17 . ; If ...
Side 218
... pyramid EFGH . For if it be poffible , fet X be EFGH . and let the excess be Y. Divide the pyramid EFGH into prifms and pyramids , and the other pyramids in like manner , ( a ) till the pyrs . left EPRS , STVH , be less than the folid Y ...
... pyramid EFGH . For if it be poffible , fet X be EFGH . and let the excess be Y. Divide the pyramid EFGH into prifms and pyramids , and the other pyramids in like manner , ( a ) till the pyrs . left EPRS , STVH , be less than the folid Y ...
Andre utgaver - Vis alle
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... Euclid,Isaac Barrow Uten tilgangsbegrensning - 1714 |
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ... Euclid Uten tilgangsbegrensning - 1751 |
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... Euclid Uten tilgangsbegrensning - 1714 |
Vanlige uttrykk og setninger
ABC is given ABCD abfurd alfo given alſo altitude angle BAC bafe baſe becauſe bifect circle commenfurable confequently Conftr Coroll cube defcribed demonftrated diameter Dodecaedron drawn equal equilateral faid fame fecond feeing fegment fhall fide figure fince firft folid angle fome Forafmuch fore fphere fquare number fuperficies fuppofed given angle given in kind given in magnitude given in pofition given Magnitude given ratio greater hath Hypothefis Icofaedron incommenfurable infcribed interfection leaft lefs likewife Logarithm mean proportional meaſure medial multiplied oppofite parallel parallelogram pentagon perpendicular plane Plate prifms PROP pyramid rational-line rectangle refidual refidual-line right-angles right-line AB right-line BC Schol Scholium ſhall theſe thofe triangle ABC whence Wherefore whofe whole