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 D E F , and it is inscribed in the circle ABC . 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 D E F , and it is inscribed in the circle ABC . Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is ...
Seite 129
In equiangular triangles , the perpendiculars drawn from the vertices of equal angles to the opposite sides , are proportional to those sides . PROP . V. THEOREM . If the sides of two triangles , about each of their angles ...
In equiangular triangles , the perpendiculars drawn from the vertices of equal angles to the opposite sides , are proportional to those sides . PROP . V. THEOREM . If the sides of two triangles , about each of their angles ...
Seite 130
The triangles A B C and DEF 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 FDG equal to either of the angles B A C ...
The triangles A B C and DEF 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 FDG equal to either of the angles B A C ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
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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 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 |