The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 164
If not , they shall meet one another when produced . Let them be produced and meet ; and let the straight line G H be their common section . In G H , take any point K , and join A K and B K. KH F E Because A B is perpendicular to the ...
If not , they shall meet one another when produced . Let them be produced and meet ; and let the straight line G H be their common section . In G H , take any point K , and join A K and B K. KH F E Because A B is perpendicular to the ...
Seite 165
either on the side of FH or E G. Let them be produced on the side of F H , and meet in the point K. E B K H D Because the straight line EFK is in the plane AB ( XI . 1 ) . Therefore the point K is in the plane A B. For the same reason ...
either on the side of FH or E G. Let them be produced on the side of F H , and meet in the point K. E B K H D Because the straight line EFK is in the plane AB ( XI . 1 ) . Therefore the point K is in the plane A B. For the same reason ...
Seite 211
Therefore the plane K BOS does not meet the less sphere . Also the other planes between the quadrants BX and K X do not meet the less sphere . From the point A draw A I perpendicular to the plane of the quadrilateral S OPT , and join IO ...
Therefore the plane K BOS does not meet the less sphere . Also the other planes between the quadrants BX and K X do not meet the less sphere . From the point A draw A I perpendicular to the plane of the quadrilateral S OPT , and join IO ...
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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 |