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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 1-5 av 16
Side 313
... given in that book , as in this : But indeed there is " fcarce any need of ... species of compound ratio . But Theon has made it the 5th def . of B. 6 ... given , but they retain also Theon's , which they ought to have left out of the ...
... given in that book , as in this : But indeed there is " fcarce any need of ... species of compound ratio . But Theon has made it the 5th def . of B. 6 ... given , but they retain also Theon's , which they ought to have left out of the ...
Side 396
... given in mag- nitude , the triangle ABC is given in species . Make a triangle a DEF the fides of which are equal , each to each , to the given straight lines AB , BC , CA , which can be done ; because any two of them must be greater ...
... given in mag- nitude , the triangle ABC is given in species . Make a triangle a DEF the fides of which are equal , each to each , to the given straight lines AB , BC , CA , which can be done ; because any two of them must be greater ...
Side 397
... given : And the points D , E are given ; therefore each of the straight lines DE , EF , FD is given in magnitude ; wherefore the c 29. dat . triangle DEF is given in species d : and it is fimilar e to the d 42 dat . triangle ABC : which ...
... given : And the points D , E are given ; therefore each of the straight lines DE , EF , FD is given in magnitude ; wherefore the c 29. dat . triangle DEF is given in species d : and it is fimilar e to the d 42 dat . triangle ABC : which ...
Side 398
... given ratios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . Take a ftraight line D given in magnitude ; and because the ratio of AB to BC is ...
... given ratios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . Take a ftraight line D given in magnitude ; and because the ratio of AB to BC is ...
Side 399
... given ratio to one ano- ther ; the triangle is given in fpecies . Let the fides AB , BC about the acute angle ABC of ... species . PROP . 44 . See N. PROP . XLVII . Fritangle hiven D AT A. 399 PROP. XLVI. ...
... given ratio to one ano- ther ; the triangle is given in fpecies . Let the fides AB , BC about the acute angle ABC of ... species . PROP . 44 . See N. PROP . XLVII . Fritangle hiven D AT A. 399 PROP. XLVI. ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore