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 iv
... thing new in Elementary Geometry would have been soon attempted . But his design was different : it was his object to restore the writings of EUCLID to their ori- ginal perfection , and to give them to Modern Europe as nearly as ...
... thing new in Elementary Geometry would have been soon attempted . But his design was different : it was his object to restore the writings of EUCLID to their ori- ginal perfection , and to give them to Modern Europe as nearly as ...
Σελίδα vi
... thing from the rigour of geometrical demonstra- tion . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly and directly perceived , that ...
... thing from the rigour of geometrical demonstra- tion . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly and directly perceived , that ...
Σελίδα x
... thing to be supposed , unless the thing itself be actually exhibited . But it is not always necessary to make use of this defence ; for the existence of many things is obviously possible . and very far from implying a contradiction ...
... thing to be supposed , unless the thing itself be actually exhibited . But it is not always necessary to make use of this defence ; for the existence of many things is obviously possible . and very far from implying a contradiction ...
Σελίδα xi
... things has thrown in its way . It is a rule , too , which cannot al- ways be followed , and from which even EUCLID him- self has been forced to depart , in more than one in- stance . In the Book , therefore , on the Properties of Solids ...
... things has thrown in its way . It is a rule , too , which cannot al- ways be followed , and from which even EUCLID him- self has been forced to depart , in more than one in- stance . In the Book , therefore , on the Properties of Solids ...
Σελίδα xii
... thing not essential . That it may be the better understood , and because the demon- strations which require exhaustions are , no doubt , the most difficult in the Elements , they are all conducted as nearly as possible in the same way ...
... thing not essential . That it may be the better understood , and because the demon- strations which require exhaustions are , no doubt , the most difficult in the Elements , they are all conducted as nearly as possible in the same way ...
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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 |