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 vii
The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions , which do not materially differ from them , and a which answer exactly the same purpose . Some propositions PREFACE . vii.
The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions , which do not materially differ from them , and a which answer exactly the same purpose . Some propositions PREFACE . vii.
Σελίδα viii
Some propositions also have been added : but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
Some propositions also have been added : but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
Σελίδα ix
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
Σελίδα x
... which , though it be not essential to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the ...
... which , though it be not essential to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the ...
Σελίδα xv
... without proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propositions are , which must cease to be true if this proposition were supposed to be false ?
... without proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propositions are , which must cease to be true if this proposition were supposed to be false ?
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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 |