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, Edlemnts of Plane and Spherical Trigonometry |
Dentro del libro
Página 100
Thus , 3A signifies three " times A ; mB , m times B , or a multiple of B by m . When the num- 66 " ber is intended to multiply two or more magnitudes that follow , it is " written thus ...
Thus , 3A signifies three " times A ; mB , m times B , or a multiple of B by m . When the num- 66 " ber is intended to multiply two or more magnitudes that follow , it is " written thus ...
Página 101
If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the se- cond and fourth , and if , according as the multiple of the first is greater than the ...
If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the se- cond and fourth , and if , according as the multiple of the first is greater than the ...
Página 103
Those magnitudes of which the same , or equal magnitudes , are equi- multiples , are equal to one another . 3. A multiple of a greater magnitude is greater than the same multiple of a less . 4. That magnitude of which a multiple is ...
Those magnitudes of which the same , or equal magnitudes , are equi- multiples , are equal to one another . 3. A multiple of a greater magnitude is greater than the same multiple of a less . 4. That magnitude of which a multiple is ...
Página 104
For mD , mE , and mF are multiples of D , E , and F by m , therefore their sum is also a multiple of D + E + F by m . PROP . II . THEOR . If to a multiple of a magnitude by any number , a multiple of the same mag- nitude ...
For mD , mE , and mF are multiples of D , E , and F by m , therefore their sum is also a multiple of D + E + F by m . PROP . II . THEOR . If to a multiple of a magnitude by any number , a multiple of the same mag- nitude ...
Página 105
For the same reason the multiples of nB and nD by q , are qnB , qnD . ... If one magnitude be the same multiple of another , which a magnitude taken from the first is of a magnitude taken from the other ; the remainder is the same ...
For the same reason the multiples of nB and nD by q , are qnB , qnD . ... If one magnitude be the same multiple of another , which a magnitude taken from the first is of a magnitude taken from the other ; the remainder is the same ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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, Edlemnts of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |