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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Side 6
... fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equa- lity of Figures of any kind must be demonftrated , and not affu- med ; and , therefore , though this were a true Propofition , it ...
... fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equa- lity of Figures of any kind must be demonftrated , and not affu- med ; and , therefore , though this were a true Propofition , it ...
Side 24
... fame are equal d to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD ... fame ftraight line . At the point B in the straight line AB , let the two ftraight lines BC , BD upon the oppofite ...
... fame are equal d to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD ... fame ftraight line . At the point B in the straight line AB , let the two ftraight lines BC , BD upon the oppofite ...
Side 34
... fame fide ; or make the interior angles on the fame fide FGH , C GHD together equal to two right angles ; AB is parallel to CD . Because the angle EGB is e- qual to the angle GHD , and the E G -B -D H F angle C a Book I. n b 27. I ...
... fame fide ; or make the interior angles on the fame fide FGH , C GHD together equal to two right angles ; AB is parallel to CD . Because the angle EGB is e- qual to the angle GHD , and the E G -B -D H F angle C a Book I. n b 27. I ...
Side 35
... fame fide ; and likewife the two interior angles upon the fame fide together equal to two right angles . Let the ftraight line EF fall upon the parallel ftraight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ...
... fame fide ; and likewife the two interior angles upon the fame fide together equal to two right angles . Let the ftraight line EF fall upon the parallel ftraight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ...
Side 40
... fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the fame bafe and 3d fi- BC , and between the fame parallels AF , BC ; the parallelo- gram ABCD fhall be equal to the ...
... fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the fame bafe and 3d fi- BC , and between the fame parallels AF , BC ; the parallelo- gram ABCD fhall be equal to the ...
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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