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 ix
In the same manner , the quadrature of the circle is performed only hy approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
In the same manner , the quadrature of the circle is performed only hy approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
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
... though the manner of actually describing them may not have been explained . In this way , I have been enabled to offer that very refined artifice in geometrical reasoning , to which we give the name of the PREFACE . xi.
... though the manner of actually describing them may not have been explained . In this way , I have been enabled to offer that very refined artifice in geometrical reasoning , to which we give the name of the PREFACE . xi.
Σελίδα 30
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. 9 > PROP . XV . THEOR .
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. 9 > PROP . XV . THEOR .
Σελίδα 31
In the same manner it may be demonstrated that the angles CEB , AED are equal . Therefore , if two straight lines , & c . Q. E. D. Cor . 1. From this it is manifest , that if two straight lines cut one anotber , the angles which they ...
In the same manner it may be demonstrated that the angles CEB , AED are equal . Therefore , if two straight lines , & c . Q. E. D. Cor . 1. From this it is manifest , that if two straight lines cut one anotber , the angles which they ...
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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 |