The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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It is a plain inference from the demonstration of this proposition , that if the three sides of one triangle be equal ... and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the ...
It is a plain inference from the demonstration of this proposition , that if the three sides of one triangle be equal ... and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the ...
Seite 26
Q. E. D. The student should prove the case of this proposition , H BFD when the straight line EF is not between the straight lines AB , CD , but on either side of both . PROP . XXXI . PROBLEM . To draw through a given point a straight ...
Q. E. D. The student should prove the case of this proposition , H BFD when the straight line EF is not between the straight lines AB , CD , but on either side of both . PROP . XXXI . PROBLEM . To draw through a given point a straight ...
Seite 119
N.B. This proposition is usually cited by the words " ex æquali in proportione per- turbatâ ; " or " ex æquo perturbato , " that is , in disorderly proportion . PROP . XXIV . THEOREM . If the first has to the second the same ratio which ...
N.B. This proposition is usually cited by the words " ex æquali in proportione per- turbatâ ; " or " ex æquo perturbato , " that is , in disorderly proportion . PROP . XXIV . THEOREM . If the first has to the second the same ratio which ...
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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 |