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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Resultat 1-5 av 100
Side 167
... given straight line similar to one given , and so on . Which was to be done . d PROP . XIX . THEOR .. SIMILAR triangles are to one another in the dupli- cate ratio of their homologous sides . Let ABC , DEF be similar triangles , having ...
... given straight line similar to one given , and so on . Which was to be done . d PROP . XIX . THEOR .. SIMILAR triangles are to one another in the dupli- cate ratio of their homologous sides . Let ABC , DEF be similar triangles , having ...
Side 180
... given rectilineal C , exceeding by the parallelogram PO , which is similar to D , because PO is similar to EL . Which was to be done . 24. 6 . PROP . XXX . PROB . To cut a given straight line in extreme and mean ratio . Let AB be the given ...
... given rectilineal C , exceeding by the parallelogram PO , which is similar to D , because PO is similar to EL . Which was to be done . 24. 6 . PROP . XXX . PROB . To cut a given straight line in extreme and mean ratio . Let AB be the given ...
Side 304
... give a general " and summary idea of ratio to beginners , by premising " this metaphysical definition , to the more accurate defini- " tions of ratios that are the same to one another , or one of " which is greater , or less than the ...
... give a general " and summary idea of ratio to beginners , by premising " this metaphysical definition , to the more accurate defini- " tions of ratios that are the same to one another , or one of " which is greater , or less than the ...
Side 305
... proportion of numbers to one another is defined , and treated of , yet without giving 66 any definition of the ratio of numbers ; though such a defi- " nition was as necessary and useful to be given in that book 66 as in this But indeed ...
... proportion of numbers to one another is defined , and treated of , yet without giving 66 any definition of the ratio of numbers ; though such a defi- " nition was as necessary and useful to be given in that book 66 as in this But indeed ...
Side 312
... ratio that B has to C , then if any equimultiples whatever of A and B be taken , and any multiple whatever of C ; if ... given the demonstration of the 10th proposition as we now have it , instead of that which Eudoxus or Euclid had given ...
... ratio that B has to C , then if any equimultiples whatever of A and B be taken , and any multiple whatever of C ; if ... given the demonstration of the 10th proposition as we now have it , instead of that which Eudoxus or Euclid had given ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex