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 x
Thus , it is plain , that on any given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( because a solid , whatever be its base , as its X PREFACE .
Thus , it is plain , that on any given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( because a solid , whatever be its base , as its X PREFACE .
Σελίδα xi
cause a solid , whatever be its base , as its height may be indefinately varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of extreme difficulty to assign the height of ...
cause a solid , whatever be its base , as its height may be indefinately varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of extreme difficulty to assign the height of ...
Σελίδα 23
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... and let the D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the ...
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... and let the D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the ...
Σελίδα 24
The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall also be equal . > > > > Let ABC be an isosceles triangle , of which the ...
The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall also be equal . > > > > Let ABC be an isosceles triangle , of which the ...
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 ...
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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 |