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 |
Inni boken
Resultat 1-5 av 55
Side 113
... excess of the first above the se- cond , is to the second , as the excess of the third above the fourth , is to the fourth . 17th Prop . Book 5 . XVII . Convertendo , by conversion ; when there are four proportion- als , and it is ...
... excess of the first above the se- cond , is to the second , as the excess of the third above the fourth , is to the fourth . 17th Prop . Book 5 . XVII . Convertendo , by conversion ; when there are four proportion- als , and it is ...
Side 114
... excess above the fourth . Prop . E. Book 5 . XVIII . Ex æquali ( se . distantia ) , or ex æquo , from equality of di- stance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals ...
... excess above the fourth . Prop . E. Book 5 . XVIII . Ex æquali ( se . distantia ) , or ex æquo , from equality of di- stance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals ...
Side 136
... excess above the second , as the third to its excess above the fourth . Let AB be to BE , as CD to DF ; then BA is to AE as DC to CF. Because AB is to BE , as CD to DF , by divi- 17. 5. sion , AE is to EB , as CF to FD ; and by in- B. 5 ...
... excess above the second , as the third to its excess above the fourth . Let AB be to BE , as CD to DF ; then BA is to AE as DC to CF. Because AB is to BE , as CD to DF , by divi- 17. 5. sion , AE is to EB , as CF to FD ; and by in- B. 5 ...
Side 141
... excess of the first and fifth shall be to the second , as a 22. 5 . b 18. 5 . Book V. the excess of the third and sixth to TOR EUCLID . 141.
... excess of the first and fifth shall be to the second , as a 22. 5 . b 18. 5 . Book V. the excess of the third and sixth to TOR EUCLID . 141.
Side 142
... excess of the third and sixth to the fourth : The demon- stration of this is the same with that of the proposition , if di- vision be used instead of composition . COR . 2. The proposition holds true of two ranks of magni- tudes ...
... excess of the third and sixth to the fourth : The demon- stration of this is the same with that of the proposition , if di- vision be used instead of composition . COR . 2. The proposition holds true of two ranks of magni- tudes ...
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