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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Página vi
that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
Página 108
Magnitudes are said to be proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on whatever be their ...
Magnitudes are said to be proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on whatever be their ...
Página 109
When three magnitudes are continual proportionals , the second is said to be a mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio ...
When three magnitudes are continual proportionals , the second is said to be a mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio ...
Página 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 ...
Página 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 ...
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Términos y frases comunes
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
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |