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
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made ...
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made ...
Σελίδα ix
... in the Third Book , I have departed from Euclid altogether , with a view of rendering it both shorter and more comprehensive . This , however , is not attempted by B 1 introducing a mode of reasoning less rigorous than that PREFACE ...
... in the Third Book , I have departed from Euclid altogether , with a view of rendering it both shorter and more comprehensive . This , however , is not attempted by B 1 introducing a mode of reasoning less rigorous than that PREFACE ...
Σελίδα xv
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
Σελίδα 23
THEOREM . of A ܪ If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall be equal ...
THEOREM . of A ܪ If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall be equal ...
Σελίδα 33
Let ABC be a triangle ; any two sides of it together are greater than the third side , viz the sides BA , AC greater than the side BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA'to the point D , D and make ...
Let ABC be a triangle ; any two sides of it together are greater than the third side , viz the sides BA , AC greater than the side BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA'to the point D , D and make ...
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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 |