The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 44
From the demonstration , it is manifest , that the parallel- ograms about the diameter of a square , are likewise squares . Corollary 2. - The square of any straight line is equal to four times the square of half the straight line .
From the demonstration , it is manifest , that the parallel- ograms about the diameter of a square , are likewise squares . Corollary 2. - The square of any straight line is equal to four times the square of half the straight line .
Seite 51
It creates another , however , for it is not shown by Dr. Thomson that AB is the greater of the two straight lines A B and A F. But the same defect lurks in the demonstration of Euclid . Corollary 1. - In the figure to this proposition ...
It creates another , however , for it is not shown by Dr. Thomson that AB is the greater of the two straight lines A B and A F. But the same defect lurks in the demonstration of Euclid . Corollary 1. - In the figure to this proposition ...
Seite 62
Q. E. D. The preceding demonstration depends on the supposition that the three straight lines DA , DB , and DC are all on one side of the diameter FG . But the point E might be so chosen , that DC and D B should be on opposite sides of ...
Q. E. D. The preceding demonstration depends on the supposition that the three straight lines DA , DB , and DC are all on one side of the diameter FG . But the point E might be so chosen , that DC and D B should be on opposite sides of ...
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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 |
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