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 5
... 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 point , II . That a terminated straight line may be produced to any length in a ...
... 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 point , II . That a terminated straight line may be produced to any length in a ...
Side 7
... produces the straight lines DA , DB , to E and F ; from the centre B , at the distance BC described the circle CGH , and from the centre D , at the distance DG describe the circle GKL . AL shall be equal to BC . B 1 Post . b 1. 1 . c2 ...
... produces the straight lines DA , DB , to E and F ; from the centre B , at the distance BC described the circle CGH , and from the centre D , at the distance DG describe the circle GKL . AL shall be equal to BC . B 1 Post . b 1. 1 . c2 ...
Side 10
... produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off 3. 1. AG equal to AF , the less , and join FC , GB . b A Because AF is ...
... produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off 3. 1. AG equal to AF , the less , and join FC , GB . b A Because AF is ...
Side 12
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore ...
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore ...
Side 15
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the other side of AB , and from the centre C , at the distance CD ...
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the other side of AB , and from the centre C , at the distance CD ...
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