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 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 21
... are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX .
... are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX .
Σελίδα 53
The sign + placed between the names of two magnitudes , signi" fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away « from the former .
The sign + placed between the names of two magnitudes , signi" fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away « from the former .
Σελίδα 109
When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that ... then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ...
When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that ... then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ...
Σελίδα 110
If four magnitudes are continual proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five ...
If four magnitudes are continual proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 |