The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 85
Wherefore the triangle A B C is equiangular to the triangle DEF , and it is inscribed in the circle A B C. Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is ...
Wherefore the triangle A B C is equiangular to the triangle DEF , and it is inscribed in the circle A B C. Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is ...
Seite 130
The triangles ABC and D E F are equiangular , and the angle ABC is equal to the angle DEF , and the angle A CB to the angle DFE . At the points D and F , in the straight line DF , make the angle FD G equal to either of the angles B A C ...
The triangles ABC and D E F are equiangular , and the angle ABC is equal to the angle DEF , and the angle A CB to the angle DFE . At the points D and F , in the straight line DF , make the angle FD G equal to either of the angles B A C ...
Seite 138
Therefore the triangle G A B is equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the angle BG H equal to the angle DFE ( I. 23 ) , and the angle G B H equal to the angle FDE .
Therefore the triangle G A B is equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the angle BG H equal to the angle DFE ( I. 23 ) , and the angle G B H equal to the angle FDE .
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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 |