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 22
CA , CB to the points À , B ; ABC is an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB ...
CA , CB to the points À , B ; ABC is an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB ...
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 ... angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles ...
THEOREM . of A ܪ If two triangles have two sides of the one equal to two sides of the other , each to each ... angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles ...
Σελίδα 24
5 posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ...
5 posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ...
Σελίδα 25
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . ... off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC ...
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . ... off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC ...
Σελίδα 26
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore ... ľ Let ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz .
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore ... ľ Let ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz .
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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 |