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 27
D ; > 9 B C E F to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied ... To bisect a given rectilineal angle , that is , to divide it into two equal angles .
D ; > 9 B C E F to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied ... To bisect a given rectilineal angle , that is , to divide it into two equal angles .
Σελίδα 28
Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts ...
Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts ...
Σελίδα 29
to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right ...
to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right ...
Σελίδα 30
to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2.
to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2.
Σελίδα 31
For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) to two right angles ; and the angles AED , DEB , C which the straight line DE makes with the straight line AB ...
For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) to two right angles ; and the angles AED , DEB , C which the straight line DE makes with the straight line AB ...
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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 |