The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 63
Q. E. D. B The demonstration of this proposition might be rendered clearer by changing the enunciation as follows : -If one circle touch another internally in any point , that point and the centres of the two circles are in the same ...
Q. E. D. B The demonstration of this proposition might be rendered clearer by changing the enunciation as follows : -If one circle touch another internally in any point , that point and the centres of the two circles are in the same ...
Seite 64
B For if it be possible , let E B F touch A B C in another point D. Join BD , and draw G H bisecting ( I. 11 ) B D at right angles . Because the points B and D are in the circumference of both circles the straight line B D lies ( III .
B For if it be possible , let E B F touch A B C in another point D. Join BD , and draw G H bisecting ( I. 11 ) B D at right angles . Because the points B and D are in the circumference of both circles the straight line B D lies ( III .
Seite 68
If a straight line touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F ...
If a straight line touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |