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 108
The sign 7 is used to signify that the magnitudes between “ which it is placed are unequal , and that the magnitude to which the opening of the lines is turned is greater than the other . Thus A “ 7 B signifies that A is greater than B ...
The sign 7 is used to signify that the magnitudes between “ which it is placed are unequal , and that the magnitude to which the opening of the lines is turned is greater than the other . Thus A “ 7 B signifies that A is greater than B ...
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 ...
Σελίδα 111
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when e there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and two of each rank , and it is ...
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when e there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and two of each rank , and it is ...
Σελίδα 112
If any number of magnitudes be equimultiples of as many others , each of each , whut multiple soever any one of the first is of its part , the same multiple is the sum of all the first of the sum of uil the rest .
If any number of magnitudes be equimultiples of as many others , each of each , whut multiple soever any one of the first is of its part , the same multiple is the sum of all the first of the sum of uil the rest .
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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 |