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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Resultat 1-3 av 35
Side 43
... demonstrated that no o- B C ther line but AD is parallel to BC ; AD is therefore parallel Wherefore equal triangles upon , & c . Q. E. D. to it . PROP . XL . THE OR . EQUAL triangles upon equal bases , in the fame ftraight line , and ...
... demonstrated that no o- B C ther line but AD is parallel to BC ; AD is therefore parallel Wherefore equal triangles upon , & c . Q. E. D. to it . PROP . XL . THE OR . EQUAL triangles upon equal bases , in the fame ftraight line , and ...
Side 311
... demonstrated , if the centre be in AC , " are left out as the addition of fome ignorant editor . WH DEFINITIONS of BOOK IV . Book III . HEN a point is in a straight line , or any other line , this Book IV . point is by the Greek ...
... demonstrated , if the centre be in AC , " are left out as the addition of fome ignorant editor . WH DEFINITIONS of BOOK IV . Book III . HEN a point is in a straight line , or any other line , this Book IV . point is by the Greek ...
Side 341
... demonstrated , not affumed ; fo that Theon , or fome o- ther Editor , has ignorantly turned a theorem which ought to be demonstrated into this 10th definition : That figures are fimilar , ought to be proved from the definition of ...
... demonstrated , not affumed ; fo that Theon , or fome o- ther Editor , has ignorantly turned a theorem which ought to be demonstrated into this 10th definition : That figures are fimilar , ought to be proved from the definition of ...
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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