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 Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
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Side 467
... prop . 4 . And for a like reafon prop . 15. has been added to the ata . One example will make the thing clear ; fuppofe it were to be demonftrated , that if a magnitude A together with given magnitude has a given ratio to another ...
... prop . 4 . And for a like reafon prop . 15. has been added to the ata . One example will make the thing clear ; fuppofe it were to be demonftrated , that if a magnitude A together with given magnitude has a given ratio to another ...
Side 468
... PROP . XXI . XXII . These now are added , as being wanting to complete the sub- ject treated of in the four preceding propositions . PROP . XXIII . This , which is prop . 20. in the Greek text , was separated from prop . 14. 15. 16. in ...
... PROP . XXI . XXII . These now are added , as being wanting to complete the sub- ject treated of in the four preceding propositions . PROP . XXIII . This , which is prop . 20. in the Greek text , was separated from prop . 14. 15. 16. in ...
Side 471
... prop . 73. is the fame with that of prop . 72. on- ly making ufe of prop . 23. inftead of prop . 22. of book 5. of the Elements . PROP . LXXVII . This is put in place of prop . 79. in the Greek text , which is not a datum , but a ...
... prop . 73. is the fame with that of prop . 72. on- ly making ufe of prop . 23. inftead of prop . 22. of book 5. of the Elements . PROP . LXXVII . This is put in place of prop . 79. in the Greek text , which is not a datum , but a ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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 cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore 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 oppofite parallel parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore