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 100
Side 5
... Parallel straight lines , are such as are in the same plane , and which , being produced ever so far both ways , do not meet . BOOK I. POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other ...
... Parallel straight lines , are such as are in the same plane , and which , being produced ever so far both ways , do not meet . BOOK I. POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other ...
Side 26
... parallel.cp Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
... parallel.cp Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
Side 27
... parallel to CD . Wherefore if a straight line , & c . Q. E , D. PROP . XXIX . THEOR . this propo IF a straight line fall upon two parallel straight lines , See the it makes the alternate angles equal to one another ; and notes on the ...
... parallel to CD . Wherefore if a straight line , & c . Q. E , D. PROP . XXIX . THEOR . this propo IF a straight line fall upon two parallel straight lines , See the it makes the alternate angles equal to one another ; and notes on the ...
Side 28
... parallel to the same straight line are parallel to each other . Let AB , CD be each of them parallel to EF ; AB is also parallel to CD . Let the straight line GHK cut AB , EF , CD ; and because GHK cuts the parallel straight lines AB ...
... parallel to the same straight line are parallel to each other . Let AB , CD be each of them parallel to EF ; AB is also parallel to CD . Let the straight line GHK cut AB , EF , CD ; and because GHK cuts the parallel straight lines AB ...
Side 29
... parallel to the Book I. given straight line BC . Which was to be done . PROP . XXXII . THEOR . IF a side of any ... parallel to the straight . • line AB ; and because AB is love parallel to CE , and AC meetsed Hi them , the alternate ...
... parallel to the Book I. given straight line BC . Which was to be done . PROP . XXXII . THEOR . IF a side of any ... parallel to the straight . • line AB ; and because AB is love parallel to CE , and AC meetsed Hi them , the alternate ...
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