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 ix
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
Σελίδα 108
V. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and fourth , and if , according as the multiple of the first is greater than the ...
V. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and fourth , and if , according as the multiple of the first is greater than the ...
Σελίδα 109
When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
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 ...
Σελίδα 111
... and as the third is to the fourth of the first rank , so is the third from the last , to the last but two , of the second rank ; and so on in a cross , or inverse , order ; and the inference is as in the 19th definition .
... and as the third is to the fourth of the first rank , so is the third from the last , to the last but two , of the second rank ; and so on in a cross , or inverse , order ; and the inference is as in the 19th definition .
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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 |