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 v
original work ; though his extreme partiality for his author never permitted him to suppose , that such honour could fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished ...
original work ; though his extreme partiality for his author never permitted him to suppose , that such honour could fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished ...
Σελίδα xiv
... peculiar excellence of the mathematical sciences depend : it is this , which by preventing any one truth from being single and insulated , connects the different parts so firmly , that they must all stand , or all fall together .
... peculiar excellence of the mathematical sciences depend : it is this , which by preventing any one truth from being single and insulated , connects the different parts so firmly , that they must all stand , or all fall together .
Σελίδα 38
If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the ...
If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the ...
Σελίδα 39
1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and ... Let the straight line EF , which falls upon the two straight lines AB , CD , make the exterior angle EGB equal to GHD ...
1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and ... Let the straight line EF , which falls upon the two straight lines AB , CD , make the exterior angle EGB equal to GHD ...
Σελίδα 41
1. ) to the straight line AB ; and because E AB is parallel to CE and AC meets them , the alternate angles BAC , ACE are equal ( 29 . 1. ) Again , because AB is B D F . > parallel to CE , and BD falls upon them OF GEOMETRY . 41 BOOK I.
1. ) to the straight line AB ; and because E AB is parallel to CE and AC meets them , the alternate angles BAC , ACE are equal ( 29 . 1. ) Again , because AB is B D F . > parallel to CE , and BD falls upon them OF GEOMETRY . 41 BOOK I.
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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 |