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 v
To explain the nature of the former , requires a more minute examination than is suited to this place , and must , therefore , be reserved for the Notes ; but , in the mean time , it may be remarked , that no definition , except that of ...
To explain the nature of the former , requires a more minute examination than is suited to this place , and must , therefore , be reserved for the Notes ; but , in the mean time , it may be remarked , that no definition , except that of ...
Σελίδα vi
that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
Σελίδα vii
Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of ...
Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of ...
Σελίδα xvi
... as he has not been careful in laying the foundation , he will never be successful in raising the superstructure . COLLEGE OF EDINBURGH , Dec. 1 , 1813 . I % ac ed 0 6 OF GEOMETRY BOOK I. DEFINITIONS . CD A Notes . xvi PREFACE : ac .
... as he has not been careful in laying the foundation , he will never be successful in raising the superstructure . COLLEGE OF EDINBURGH , Dec. 1 , 1813 . I % ac ed 0 6 OF GEOMETRY BOOK I. DEFINITIONS . CD A Notes . xvi PREFACE : ac .
Σελίδα 17
OF GEOMETRY BOOK I. DEFINITIONS . CD A Notes . ) I. Point is that which has position , but not magnitude * . ** ( See ) II . A line is length without breadth . “ COROLLARY . The extremities of a line are points ; and the inter .
OF GEOMETRY BOOK I. DEFINITIONS . CD A Notes . ) I. Point is that which has position , but not magnitude * . ** ( See ) II . A line is length without breadth . “ COROLLARY . The extremities of a line are points ; and the inter .
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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 |