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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It is a remarkable fact in the history of science , that the oldest book of Elementary Geometry is still considered as the best , and that the writings of EUCLID , at the distance of two thousand years , continue to form the most ...
It is a remarkable fact in the history of science , that the oldest book of Elementary Geometry is still considered as the best , and that the writings of EUCLID , at the distance of two thousand years , continue to form the most ...
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... signifies that the quantity de- noted by A is to be multiplied by the quantity denoted by B. The ex- pression AB should not be employed when there is any danger of con- founding it with that of the line AB , the distance between the ...
... signifies that the quantity de- noted by A is to be multiplied by the quantity denoted by B. The ex- pression AB should not be employed when there is any danger of con- founding it with that of the line AB , the distance between the ...
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That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY .
That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY .
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This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC is less than BA + AC , or BA + AC > BC . PROP . XIV . THEOR .
This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC is less than BA + AC , or BA + AC > BC . PROP . XIV . THEOR .
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The perpendicular measures the true distance of a point from a line , because it is shorter than any other distance . COR . 2. Hence , also , every point in a perpendicular at the middle point of a given straight line , is equally ...
The perpendicular measures the true distance of a point from a line , because it is shorter than any other distance . COR . 2. Hence , also , every point in a perpendicular at the middle point of a given straight line , is equally ...
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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 cosine 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |