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 CorrectedP. Wogan, 1803 - 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 af- fumed ; 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 af- fumed ; and therefore , though this were a true Propofition , it ...
Side 24
... fame are equal to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD are ... fame straight line with CB . For , if BD be not in the fame ftraight line with CB , let BE be C A E B D in a in the ...
... fame are equal to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD are ... fame straight line with CB . For , if BD be not in the fame ftraight line with CB , let BE be C A E B D in a in the ...
Side 25
... fame ftraight line with it ' ; therefore , because the straight Book 1 . line AB makes angles with the ftraight line ... fame straight line with BC . And , in like manner , it may be demonftrated , that no other can be in the fame ...
... fame ftraight line with it ' ; therefore , because the straight Book 1 . line AB makes angles with the ftraight line ... fame straight line with BC . And , in like manner , it may be demonftrated , that no other can be in the fame ...
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 straight 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 straight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ...
Side 40
... fame bafe and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the fame base BC , and between the fame parallels AF , BC ; the parallelogram ABCD fhall be equal to the parallelogram EBCF ...
... fame bafe and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the fame base BC , and between the fame parallels AF , BC ; the parallelogram ABCD fhall be equal to the parallelogram EBCF ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
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 confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides 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 muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore