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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 83.
Σελίδα 40
but E AB is also parallel to CD ; LL therefore two straight lines А are drawn through the same -В point G , parallel to CD , and K yet notcoinciding with one another , which is impossible C( 11. Ax . ) D The angles AGH H ĠHD therefore ...
but E AB is also parallel to CD ; LL therefore two straight lines А are drawn through the same -В point G , parallel to CD , and K yet notcoinciding with one another , which is impossible C( 11. Ax . ) D The angles AGH H ĠHD therefore ...
Σελίδα 41
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. 1. ) to the angle GKD ; and it was shewn that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ...
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. 1. ) to the angle GKD ; and it was shewn that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ...
Σελίδα 42
parallel to CE , and BD falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two ...
parallel to CE , and BD falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two ...
Σελίδα 43
The straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same ...
The straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same ...
Σελίδα 44
Triangles upon equal bases , and between the same parallels , are equal to one another Let the triangles ABC , DEF be upon ... to CA , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is a paralG D lelogram ...
Triangles upon equal bases , and between the same parallels , are equal to one another Let the triangles ABC , DEF be upon ... to CA , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is a paralG D lelogram ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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 |