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 xii
The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of Geometry . 4 1 The Book of the Data has ...
The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of Geometry . 4 1 The Book of the Data has ...
Σελίδα xiv
It has been objected to many of the writers on Elementary Geometry , and particularly to EUCLID , that they have been at great pains to prove the truth of many simple propositions , which every body is ready to admit , without any ...
It has been objected to many of the writers on Elementary Geometry , and particularly to EUCLID , that they have been at great pains to prove the truth of many simple propositions , which every body is ready to admit , without any ...
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 ?
Σελίδα xvi
is thus acquired ; it is much to be feared , that he who has declined the trouble of tracing the connexion between the proposition already quoted , and those that are more simple , will not be very expert in tracing its connection with ...
is thus acquired ; it is much to be feared , that he who has declined the trouble of tracing the connexion between the proposition already quoted , and those that are more simple , will not be very expert in tracing its connection with ...
Σελίδα 21
XI . · Two straight lines which intersect one another , cannot be both “ parallel to the game straight line . " 2 PROPOSITION I. PROBLEM . To describe an equilateral triangle upon OF GEOMETRY . BOOK I. 21.
XI . · Two straight lines which intersect one another , cannot be both “ parallel to the game straight line . " 2 PROPOSITION I. PROBLEM . To describe an equilateral triangle upon OF GEOMETRY . BOOK I. 21.
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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 |