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 xv
... that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the same thing are equal to one another ?
... that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the same thing are equal to one another ?
Σελίδα 20
A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , por its angles right angles , XXIX . All other four sided figures besides these , are called Trapeziums . XXX .
A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , por its angles right angles , XXIX . All other four sided figures besides these , are called Trapeziums . XXX .
Σελίδα 23
... or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have ...
... or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have ...
Σελίδα 24
to the remaining angles of the other , each to В. e each , to which the equal sides are opposite , viz . the angle ACF to the angle ABG , and the angle AFC to the TL F G angle AGB : And because the whole AF is equal to the whole AG ...
to the remaining angles of the other , each to В. e each , to which the equal sides are opposite , viz . the angle ACF to the angle ABG , and the angle AFC to the TL F G angle AGB : And because the whole AF is equal to the whole AG ...
Σελίδα 25
and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , since it has been demonstrated , that the whole angle ABG is ...
and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , since it has been demonstrated , that the whole angle ABG is ...
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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 |