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 |
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Resultat 1-5 av 100
Side 5
... right - lines and an- gles , but not in figures , unless they be like . Moreover , magnitudes are faid to agree ... line EF ( Plate 1. Fig . 11. ) falling on two right - lines , AD , BC , make the internal angles on the fame fide , GFE , FEG ...
... right - lines and an- gles , but not in figures , unless they be like . Moreover , magnitudes are faid to agree ... line EF ( Plate 1. Fig . 11. ) falling on two right - lines , AD , BC , make the internal angles on the fame fide , GFE , FEG ...
Side 6
... line AB may be de , fcribed an Ifofceles triangle , if the diftances of the equal circles be taken greater or lefs than the line AB , PROP , II . Fig . 13 . From a point given A , to draw a right - line AG equal to a right - line given BC ...
... line AB may be de , fcribed an Ifofceles triangle , if the diftances of the equal circles be taken greater or lefs than the line AB , PROP , II . Fig . 13 . From a point given A , to draw a right - line AG equal to a right - line given BC ...
Side 7
... right - lines , A and DC , being given , from the greater DC , to take away the right - line ... BC equal to the bafe EF ; and the triangle BAC fhall be equal to the ... right - line DE plac'd upon the right - line AB , the point E fhall fall ...
... right - lines , A and DC , being given , from the greater DC , to take away the right - line ... BC equal to the bafe EF ; and the triangle BAC fhall be equal to the ... right - line DE plac'd upon the right - line AB , the point E fhall fall ...
Side 8
... BC , AB , fubtended under the equal angles , fhall also be equal one to the other . If the fides be not equal , let one be bigger than the other , fuppofe BABC , ( a ) Make AF BC , and ( 4 ) draw the line ... right - line AC tavo right - ...
... BC , AB , fubtended under the equal angles , fhall also be equal one to the other . If the fides be not equal , let one be bigger than the other , fuppofe BABC , ( a ) Make AF BC , and ( 4 ) draw the line ... right - line AC tavo right - ...
Side 9
... BC equal to the baje EF , then the angles contained under the equal right - lines fhall be equal , viz . A to D ... line DE ; upon which ( 6 ) make an equilateral triangle DFE , draw the right - line AF ; it fhall bifect the Angle . For ...
... BC equal to the baje EF , then the angles contained under the equal right - lines fhall be equal , viz . A to D ... line DE ; upon which ( 6 ) make an equilateral triangle DFE , draw the right - line AF ; it fhall bifect the Angle . For ...
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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