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 1
... Magnitudes may be considered under three dimensions , -length , breadth , height or thickness . 2. In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas ...
... Magnitudes may be considered under three dimensions , -length , breadth , height or thickness . 2. In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas ...
Página 8
... magnitudes , lines , surfaces , or solids , are equal , if , when applied to each other , they coincide throughout their whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is ...
... magnitudes , lines , surfaces , or solids , are equal , if , when applied to each other , they coincide throughout their whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is ...
Página 100
... magnitude of any kind , it signifies that the magnitude is multiplied by the number . 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 ...
... magnitude of any kind , it signifies that the magnitude is multiplied by the number . 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 ...
Página 101
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
Página 102
... magnitudes are continual proportionals , the ratio of the first to the third is said to be duplicate of the ratio of the first to the second . " Thus , if A be to B as B to C , the ratio of A to C is said to be duplicate " of the ratio ...
... magnitudes are continual proportionals , the ratio of the first to the third is said to be duplicate of the ratio of the first to the second . " Thus , if A be to B as B to C , the ratio of A to C is said to be duplicate " of the ratio ...
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 |