The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 162
If two straight lines meeting one another be parallel to two others which meet one another , but are not in the same plane with the first two ; the first two and the other two contain equal angles . Let the two straight lines A B and ...
If two straight lines meeting one another be parallel to two others which meet one another , but are not in the same plane with the first two ; the first two and the other two contain equal angles . Let the two straight lines A B and ...
Seite 164
8 ) , they are parallel . planes , & c . Q. E. D. PROP . X V. THEOREM . Therefore Two planes are parallel , if two straight lines which meet each other in the one plane , be parallel to two straight lines which meet each other in the ...
8 ) , they are parallel . planes , & c . Q. E. D. PROP . X V. THEOREM . Therefore Two planes are parallel , if two straight lines which meet each other in the one plane , be parallel to two straight lines which meet each other in the ...
Seite 165
But they do not meet , because they are parallel ( Hyp . ) . A Therefore the straight lines EF and GH do not meet when produced on the side of FH . In the same manner , it may be proved that E F and GH do not meet when produced on the ...
But they do not meet , because they are parallel ( Hyp . ) . A Therefore the straight lines EF and GH do not meet when produced on the side of FH . In the same manner , it may be proved that E F and GH do not meet when produced on the ...
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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 |