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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Resultat 1-5 av 47
Side 22
... divided into two equal parts in the point D. Which was to be done . A PROP . XI . PROB . D B O draw a ftraight line at right angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and ...
... divided into two equal parts in the point D. Which was to be done . A PROP . XI . PROB . D B O draw a ftraight line at right angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and ...
Side 37
... . For ABCDE can be divided into as many triangles as the figure has fides , by drawing ftraight lines from a point F within the figure any rectilineal figure D E F B A Book I. to each of its angles . And , C 3 to OF EUCLID . 37.
... . For ABCDE can be divided into as many triangles as the figure has fides , by drawing ftraight lines from a point F within the figure any rectilineal figure D E F B A Book I. to each of its angles . And , C 3 to OF EUCLID . 37.
Side 51
... divided into any number of parts ; the rectangle contained by the two ftraight lines , is equal to the rectangles contain- ed by the undivided line , and the feveral parts of the ¡ divided line . D 2 Let i Book II . a II . I ' b 3. OF ...
... divided into any number of parts ; the rectangle contained by the two ftraight lines , is equal to the rectangles contain- ed by the undivided line , and the feveral parts of the ¡ divided line . D 2 Let i Book II . a II . I ' b 3. OF ...
Side 52
... divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the fquare of the whole line . Α C B Let the straight line AB be divided into A any two parts in the point C ; the rect ...
... divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the fquare of the whole line . Α C B Let the straight line AB be divided into A any two parts in the point C ; the rect ...
Side 53
... divided into any two parts , the fquare of the whole line is equal to the fquares of the two parts , together with twice the rectangle contained by the parts . Let the ftraight line AB be divided into any two parts in C ; the fquare of ...
... divided into any two parts , the fquare of the whole line is equal to the fquares of the two parts , together with twice the rectangle contained by the parts . Let the ftraight line AB be divided into any two parts in C ; the fquare of ...
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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