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 107
Thus , “ 3A signifies three times A ; mB , m times B , or a multiple of B by 6m . When the number is intended to multiply two or more mag“ nitudes that follow , it is written thus , m ( A + B ) , which signifies " the sum of A and B ...
Thus , “ 3A signifies three times A ; mB , m times B , or a multiple of B by 6m . When the number is intended to multiply two or more mag“ nitudes that follow , it is written thus , m ( A + B ) , which signifies " the sum of A and B ...
Página 108
A greater magnitude is said to be a multiple of a less , when the greater is measured by the less , that is , when the greater contains the less a certain number of times exactly . III .
A greater magnitude is said to be a multiple of a less , when the greater is measured by the less , that is , when the greater contains the less a certain number of times exactly . III .
Página 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 ...
Página 111
A multiple of a greater magnitude is greater than the same multiple of a less . IV , That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . PROP . I. THEOR .
A multiple of a greater magnitude is greater than the same multiple of a less . IV , That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . PROP . I. THEOR .
Página 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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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 |