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 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 ...
Σελίδα 32
the angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles ...
the angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles ...
Σελίδα 39
1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ...
1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ...
Σελίδα 40
E G the exterior angle EGB is equal to the interior and opposite , upon the same side , GHD ; and the two interior angles BGH , GHD upon the same side are together equal to two right angles . For if AGH be not equal to GHD , let KG be ...
E G the exterior angle EGB is equal to the interior and opposite , upon the same side , GHD ; and the two interior angles BGH , GHD upon the same side are together equal to two right angles . For if AGH be not equal to GHD , let KG be ...
Σελίδα 41
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. ... to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles .
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. ... to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles .
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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 |