The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 88
where the bisecting lines meet , to all the sides of the polygon , these perpendiculars must be all equal to one another , because the sides of the polygon are equal chords of the circumscribed circle ( III . 14 ) .
where the bisecting lines meet , to all the sides of the polygon , these perpendiculars must be all equal to one another , because the sides of the polygon are equal chords of the circumscribed circle ( III . 14 ) .
Seite 140
Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the ... And the polygon ABCDE has to the polygon F G H K L the duplicate ratio of that which the side A B has to the side F ...
Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the ... And the polygon ABCDE has to the polygon F G H K L the duplicate ratio of that which the side A B has to the side F ...
Seite 141
as the polygon ABCDE is to the polygon F G HKL . But the tri- angle ABE has to the triangle F G L the duplicate ratio of that which the side A B has to the homologous side F G ( VI . 19 ) . Therefore also the polygon ABCDE has to the ...
as the polygon ABCDE is to the polygon F G HKL . But the tri- angle ABE has to the triangle F G L the duplicate ratio of that which the side A B has to the homologous side F G ( VI . 19 ) . Therefore also the polygon ABCDE has to the ...
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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 |