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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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 ...
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“ A Point is that which has position , but not magnitude * . ” ( See Notes . ) 2. A line is length without breadth . “ COROLLARY . The extremities of a line are points ; and the intersections " of one line with another are also points .
“ A Point is that which has position , but not magnitude * . ” ( See Notes . ) 2. A line is length without breadth . “ COROLLARY . The extremities of a line are points ; and the intersections " of one line with another are also points .
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Two 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.
Two 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.
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The letters A , B , C , & c . are used to denote magnitudes of any kind . “ The letters m , n , p , q , are used to denote numbers only . It is to be observed , that in speaking of the magnitudes A , B , C , & c . , we mean , in reality ...
The letters A , B , C , & c . are used to denote magnitudes of any kind . “ The letters m , n , p , q , are used to denote numbers only . It is to be observed , that in speaking of the magnitudes A , B , C , & c . , we mean , in reality ...
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Magnitudes are said to be of the same kind , when the less can be multiplied 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 multiplied 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 ...
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ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance 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 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
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