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 26
B , cannot be equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the triangles is without the other triangle , because AC is equal to AD , the angle ACD is equal ...
B , cannot be equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the triangles is without the other triangle , because AC is equal to AD , the angle ACD is equal ...
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 the triangle DEF , so that the point B be on É , and the straight line BC upon EF ...
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 the triangle DEF , so that the point B be on É , and the straight line BC upon EF ...
Σελίδα 28
To bisect a given finite straight line , that is , to divide it 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 ...
To bisect a given finite straight line , that is , to divide it 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 ...
Σελίδα 30
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. Ax . ) to the three CBA , ABE , EBD . Again , the angle DBA is equal to ...
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. Ax . ) to the three CBA , ABE , EBD . Again , the angle DBA is equal to ...
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 |