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 TrigonometryW.E. Dean, 1836 - 311 páginas |
Dentro del libro
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Página 3
... ratio of one quantity to another , is usually denoted by placing one of the two quantities over the other , in the form of a fraction : A thus , signifies the ratio or quotient arising from the division of the quantity A by B. In fact ...
... ratio of one quantity to another , is usually denoted by placing one of the two quantities over the other , in the form of a fraction : A thus , signifies the ratio or quotient arising from the division of the quantity A by B. In fact ...
Página 100
... that is , when the greater contains the less a cer- tain number of times exactly . 3. Ratio is a mutual relation of two magnitudes , of the same kind , to one another , in respect of quantity . 4. Magnitudes are said to be of the same kind.
... that is , when the greater contains the less a cer- tain number of times exactly . 3. Ratio is a mutual relation of two magnitudes , of the same kind , to one another , in respect of quantity . 4. Magnitudes are said to be of the same kind.
Página 101
... ratio to one another . 5. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first ... ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio ...
... ratio to one another . 5. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first ... ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio ...
Página 102
... 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 continual proportionals ; the ratio of the first " to ...
... 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 continual proportionals ; the ratio of the first " to ...
Página 105
... 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 multiple of the first · shall have the same ratio to the ...
... 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 multiple of the first · shall have the same ratio to the ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |