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 113
If the first of four magnitudes has the same ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever , of the second and fourth ; the anultiple of the ...
If the first of four magnitudes has the same ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever , of the second and fourth ; the anultiple of the ...
Página 114
9 If the first be the same multiple of the second , or the same part of it , that the third is of the fourth ; the first is to the second as the third to the fourth . First , if mA , mВ be equimultiples of the magnitudes A and B ...
9 If the first be the same multiple of the second , or the same part of it , that the third is of the fourth ; the first is to the second as the third to the fourth . First , if mA , mВ be equimultiples of the magnitudes A and B ...
Página 115
If the first be to the second as the third to the fourth ; and if the first be a multiple or a part of the second , the third is the same multiple or the same part of the fourth . . ; : 9 Let A : B :: C : D , and first let A be a ...
If the first be to the second as the third to the fourth ; and if the first be a multiple or a part of the second , the third is the same multiple or the same part of the fourth . . ; : 9 Let A : B :: C : D , and first let A be a ...
Página 117
If the first have to the second the same ratio which the third has to the fourth , but the third to the fourth a greater ratio than the fifth has to the sixth ; the first has also to the second a greater ratio than the fifth has to the ...
If the first have to the second the same ratio which the third has to the fourth , but the third to the fourth a greater ratio than the fifth has to the sixth ; the first has also to the second a greater ratio than the fifth has to the ...
Página 118
1 : If the first have to the second the same ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less .
1 : If the first have to the second the same ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less .
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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 |