The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 68
If a straight line touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F ...
If a straight line touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F ...
Seite 162
To draw a straight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH . It is required to draw from the point A a straight line perpendicular to the plane B H. In the plane B H draw ...
To draw a straight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH . It is required to draw from the point A a straight line perpendicular to the plane B H. In the plane B H draw ...
Seite 164
KH F E Because A B is perpendicular to the plane E F it is perpendicular ( XI . Def . 3 ) to the straight line BK meet- ing it in that plane . Therefore ABK is a right angle . For the same reason , B A K is a right angle .
KH F E Because A B is perpendicular to the plane E F it is perpendicular ( XI . Def . 3 ) to the straight line BK meet- ing it in that plane . Therefore ABK is a right angle . For the same reason , B A K is a right angle .
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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 |