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 CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 5
... Greek Editions we now have , I found that Theon , or whoever was the Editor of the prefent Greek Text , by adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse ...
... Greek Editions we now have , I found that Theon , or whoever was the Editor of the prefent Greek Text , by adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse ...
Side 82
... Greek text and tranflations from it , the angle of the femicircle is faid to be greater than any acute rectilineal angle , and the remaining angle lefs than any rectilineal an❤ gle . ' COR . From this it is manifeft that the ftraight ...
... Greek text and tranflations from it , the angle of the femicircle is faid to be greater than any acute rectilineal angle , and the remaining angle lefs than any rectilineal an❤ gle . ' COR . From this it is manifeft that the ftraight ...
Side 93
... without the right Angle CAB , but the circumference of the lefs fegment ADC falls within the right angle CAF , And this is all that is meant , when in ' Greek Book III . Greek text , and the tranflations from OF EUCLID . 93.
... without the right Angle CAB , but the circumference of the lefs fegment ADC falls within the right angle CAF , And this is all that is meant , when in ' Greek Book III . Greek text , and the tranflations from OF EUCLID . 93.
Side 94
... Greek text , and the tranflations from it , the angle of the greater fegment is faid to be greater , and the angle of the less fegment is faid to be lefs , than a right angle . ' · COR . From this it is manifeft , that if one angle of a ...
... Greek text , and the tranflations from it , the angle of the greater fegment is faid to be greater , and the angle of the less fegment is faid to be lefs , than a right angle . ' · COR . From this it is manifeft , that if one angle of a ...
Side 273
... Greek , because the pyramid , in what follows , is fuppofed to be circumfcribed about the cone , and fo must have the fame vertex . And the fame change is made in fome places following . Book XII . PG , GR , RH , HS OF EUCLID . 273.
... Greek , because the pyramid , in what follows , is fuppofed to be circumfcribed about the cone , and fo must have the fame vertex . And the fame change is made in fome places following . Book XII . PG , GR , RH , HS OF EUCLID . 273.
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore