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 iv
And indeed , if the geometer just named had written with a view of accommodating the Elements of Euclid to the present state of the mathematical sciences , it is not likely that any thing new in Elementary Geometry would have been soon ...
And indeed , if the geometer just named had written with a view of accommodating the Elements of Euclid to the present state of the mathematical sciences , it is not likely that any thing new in Elementary Geometry would have been soon ...
Σελίδα vi
... to remedy this inconvenience , I have endeavoured to introduce it here , in a very simple form however , and without changing the nature of the reasoning , or departing in any thing from the rigour of geometrical demonstration .
... to remedy this inconvenience , I have endeavoured to introduce it here , in a very simple form however , and without changing the nature of the reasoning , or departing in any thing from the rigour of geometrical demonstration .
Σελίδα x
That in the demonstration of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not previously explained . Now , the only use of this rule is ...
That in the demonstration of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not previously explained . Now , the only use of this rule is ...
Σελίδα xi
... as Euclid has done , the rule that excludes this , and sueh like hypotheses , is to create artificial difficulties , and to embarrass geometrical investigation with more obstacles than the nature of things bas thrown in its way .
... as Euclid has done , the rule that excludes this , and sueh like hypotheses , is to create artificial difficulties , and to embarrass geometrical investigation with more obstacles than the nature of things bas thrown in its way .
Σελίδα xii
... we give the name of the Method of Exhaustions , under a much simpler form than it appears in the 12 of Euclid ; and the spirit of the method may , I think , be best learned when it is thus disengaged from every thing not essential .
... we give the name of the Method of Exhaustions , under a much simpler form than it appears in the 12 of Euclid ; and the spirit of the method may , I think , be best learned when it is thus disengaged from every thing not essential .
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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 |