The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 56
To find the centre of a given circle . Let A B C be the given circle . It is required to find its centre . Take any two points A and B , in Bisect the straight line A B ( I. DC at right angles ( I. 11 ) to A B. C and E ; and bisect C E ...
To find the centre of a given circle . Let A B C be the given circle . It is required to find its centre . Take any two points A and B , in Bisect the straight line A B ( I. DC at right angles ( I. 11 ) to A B. C and E ; and bisect C E ...
Seite 58
If a straight line cut the circumferences of two concentric circles , the segments intercepted between the circles are equal . PROP . IV . THEOREM . If in a circle two straight lines cut one another , and do not pass through the centre ...
If a straight line cut the circumferences of two concentric circles , the segments intercepted between the circles are equal . PROP . IV . THEOREM . If in a circle two straight lines cut one another , and do not pass through the centre ...
Seite 62
Therefore E is not the centre of the circle ABC . In like manner it may be demonstrated , that no other point but D is the centre . Therefore D is the centre of the circle A B ̊C . Wherefore , if a point be taken , & c .
Therefore E is not the centre of the circle ABC . In like manner it may be demonstrated , that no other point but D is the centre . Therefore D is the centre of the circle A B ̊C . Wherefore , if a point be taken , & c .
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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 |