Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Σελίδα iii
The elements of Euclid , however , in passing through the hands of the ancient editors , during the decline of science , had suffered some diminution of their excellence , and much skill and learning have been employed by the modern ...
The elements of Euclid , however , in passing through the hands of the ancient editors , during the decline of science , had suffered some diminution of their excellence , and much skill and learning have been employed by the modern ...
Σελίδα 48
Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the A H D whole figure ABCD and are ...
Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the A H D whole figure ABCD and are ...
Σελίδα 68
If a straight line drawn through the centre of a circle bisect a straight line in the circle , which does not pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it .
If a straight line drawn through the centre of a circle bisect a straight line in the circle , which does not pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it .
Σελίδα 69
angle : Therefore each of the angles AFE , BFE is a right angle ; wherefore the straight line CD , A drawn through the centre bisecting AB , F B which does not pass through the centre , cuts AB at right angles .
angle : Therefore each of the angles AFE , BFE is a right angle ; wherefore the straight line CD , A drawn through the centre bisecting AB , F B which does not pass through the centre , cuts AB at right angles .
Σελίδα 70
... to the line passing through the centre is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line .
... to the line passing through the centre is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line .
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |