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 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 ... the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one ...
Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ... the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one ...
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
remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG ... and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the ...
remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG ... and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the ...
Σελίδα 26
B , cannot be equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the triangles is without the other triangle , because AC is equal to AD , the angle ACD is equal ...
B , cannot be equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the triangles is without the other triangle , because AC is equal to AD , the angle ACD is equal ...
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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 |