The Common Sense of the Exact SciencesD. Appleton, 1891 - 271 σελίδες |
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Σελίδα 123
... radius and suppose straight lines drawn at the extre- mities of two diameters AB and CD at right angles ; then the circle will appear as if drawn inside a square ( see fig . 39 ) . The sides of this square will be each 2 and its area 4 ...
... radius and suppose straight lines drawn at the extre- mities of two diameters AB and CD at right angles ; then the circle will appear as if drawn inside a square ( see fig . 39 ) . The sides of this square will be each 2 and its area 4 ...
Σελίδα 124
... radius and PM , PN perpendiculars on the diameters A B , C D. As a result of the first stretch the equal lengths oм and N P are extended into the equal lengths o ' м ' and O M N ' P ' , which are such that = N P 1 = O'M ' N ' P ' α ...
... radius and PM , PN perpendiculars on the diameters A B , C D. As a result of the first stretch the equal lengths oм and N P are extended into the equal lengths o ' м ' and O M N ' P ' , which are such that = N P 1 = O'M ' N ' P ' α ...
Σελίδα 125
... radius has been stretched into a circle of radius a . In fact , the two equal stretches in directions at right angles , which we have given to the first figure , have performed just the same operation upon it , as if we had placed it ...
... radius has been stretched into a circle of radius a . In fact , the two equal stretches in directions at right angles , which we have given to the first figure , have performed just the same operation upon it , as if we had placed it ...
Σελίδα 126
... radius by the quantity π ; thus the area of a circle of radius a will be represented by the quantity π а2 . If , after stretching A B to A'B ' in the ratio of a to 1 , we had stretched or squeezed CD to c ' D ' in the ratio of b to 1 ...
... radius by the quantity π ; thus the area of a circle of radius a will be represented by the quantity π а2 . If , after stretching A B to A'B ' in the ratio of a to 1 , we had stretched or squeezed CD to c ' D ' in the ratio of b to 1 ...
Σελίδα 128
... radius , and we may state that the areas of the inscribed and circumscribed figures , which approach nearer and nearer to the area of the circle as we in- crease the number of their sides , become ultimately In the case of the circle ...
... radius , and we may state that the areas of the inscribed and circumscribed figures , which approach nearer and nearer to the area of the circle as we in- crease the number of their sides , become ultimately In the case of the circle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C Archimedes arrangements body centre circle circumference clockwise coincide commutative law complex number Conon of Samos consider containing convert cose count counter-clockwise cube curve cylinder denoted determine directed step distance divide dots edge ellipse equiangular spiral expressed exterior angle figure five times six four fourth proportional fraction geometrical grow at logarithmic Hence hyperbola lemniscate length letters logarithmic rate logarithmic spiral loop magnitude means measure motion move Natural logarithms operation parabola parallel parallelogram perpendicular plane position quantity quaternion radius ratio rectangle represent result reverse right angles right six-face round scalar shadow shape side smooth-points space sphere spiral square step A P step backwards step forwards straight line stretch surface symbol tangent termed theorem tion triangle turn unit angle unity vector steps velocity
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