The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 128
The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides , that is , are the antecedents or consequents of the ratios .
The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides , that is , are the antecedents or consequents of the ratios .
Seite 171
and the angle at B by the three plane angles F B G , FB H , and HBG ; let the angle C A D be equal to the angle F B G , the angle CA E to the angle FBH , and the angle EAD to the angle HBG . The planes in which the equal angles are have ...
and the angle at B by the three plane angles F B G , FB H , and HBG ; let the angle C A D be equal to the angle F B G , the angle CA E to the angle FBH , and the angle EAD to the angle HBG . The planes in which the equal angles are have ...
Seite 185
If , from the vertices of two equal plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing equal angles with the sides of those angles , each to each ; and if in the lines ...
If , from the vertices of two equal plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing equal angles with the sides of those angles , each to each ; and if in the lines ...
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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 |