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 5
... given of Compound Ratio , and given an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Appolonius , nor any Geometer before Theon's time , ever made , ufe of , and of which there is ...
... given of Compound Ratio , and given an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Appolonius , nor any Geometer before Theon's time , ever made , ufe of , and of which there is ...
Side 175
... given straight line fimilar to one given , and so on . Which was to be done . d 22. 5 . S PROP . XIX . THEOR . IMILAR triangles are to one another in the duplicate ratio of their homologous fides . Let ABC , DEF be fimilar triangles ...
... given straight line fimilar to one given , and so on . Which was to be done . d 22. 5 . S PROP . XIX . THEOR . IMILAR triangles are to one another in the duplicate ratio of their homologous fides . Let ABC , DEF be fimilar triangles ...
Side 188
... given recti- lineal C , exceeding by the parallelogram PO , which is fimilar to D , because PO is fimilar to EL 8. Which was to be done . T PROP . XXX . PROB . cut a given ftraight line in extreme and mean ratio .. Let AB be the given ...
... given recti- lineal C , exceeding by the parallelogram PO , which is fimilar to D , because PO is fimilar to EL 8. Which was to be done . T PROP . XXX . PROB . cut a given ftraight line in extreme and mean ratio .. Let AB be the given ...
Side 313
... proportion of numbers to one another is defined , " and treated of , yet without giving any definition of the ratio " of numbers ; tho ' fuch a definition was as necessary and use- " ful to be given in that book , as in this : But ...
... proportion of numbers to one another is defined , " and treated of , yet without giving any definition of the ratio " of numbers ; tho ' fuch a definition was as necessary and use- " ful to be given in that book , as in this : But ...
Side 319
... given a more explicit demonftration than that ' which is now in the elements . PROP . X. B. V. It was neceffary to ... ratio , than B to C : I say that A is greater " than B. For if it is not greater , it is either equal , or less . " But A ...
... given a more explicit demonftration than that ' which is now in the elements . PROP . X. B. V. It was neceffary to ... ratio , than B to C : I say that A is greater " than B. For if it is not greater , it is either equal , or less . " But A ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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