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
Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ... each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have the two sides ...
Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ... each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have the two sides ...
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
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
Σελίδα 26
Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the ... other . ľ Let ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz .
Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the ... other . 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 |