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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα v
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the ac- knowledged excellence of EUCLID's Elements , it could ...
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the ac- knowledged excellence of EUCLID's Elements , it could ...
Σελίδα xiv
... all stand , or all fall together . The demonstration , therefore , even of an obvious pro- position , answers the purpose of connecting that pro- position with others , and ascertaining its place in the Xxiv PREFACE .
... all stand , or all fall together . The demonstration , therefore , even of an obvious pro- position , answers the purpose of connecting that pro- position with others , and ascertaining its place in the Xxiv PREFACE .
Σελίδα 38
... 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 alternate angles AEF ...
... 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 alternate angles AEF ...
Σελίδα 39
... fall upon two parallel straight lines , it makes the alter- nate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two inte- rior angles upon the same side ...
... fall upon two parallel straight lines , it makes the alter- nate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two inte- rior angles upon the same side ...
Σελίδα 41
... 1. ) to the straight line AB ; and because AB is parallel to CE and AC meets them , the alternate an- gles BAC , ACE are equal ( 29 . 1. ) Again , because AB is B A E C D F parallel to CE , and BD falls upon them , OF GEOMETRY . BOOK I. 41.
... 1. ) to the straight line AB ; and because AB is parallel to CE and AC meets them , the alternate an- gles BAC , ACE are equal ( 29 . 1. ) Again , because AB is B A E C D F parallel to CE , and BD falls upon them , OF GEOMETRY . BOOK I. 41.
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |