The Common Sense of the Exact SciencesD. Appleton, 1891 - 271 σελίδες |
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Σελίδα xi
... Circles ; Related Circles and Triangles 8. The Conic Sections 9. On Surfaces of the Second Order 69 75 81 87 10. How to form Curves of the Third and Higher Orders . 91 · • SECTION CHAPTER III . QUANTITY . 1. The Measurement of.
... Circles ; Related Circles and Triangles 8. The Conic Sections 9. On Surfaces of the Second Order 69 75 81 87 10. How to form Curves of the Third and Higher Orders . 91 · • SECTION CHAPTER III . QUANTITY . 1. The Measurement of.
Σελίδα xii
... Circles and their Areas 10 . Of the Area of Sectors of Curves PAGE 95 99 . 100 . 102 . 105 113 116 120 123 ..130 11. Extension of the Conception of Area 12 . On the Area of a Closed Tangle 13. On the Volumes of Space - Figures On the ...
... Circles and their Areas 10 . Of the Area of Sectors of Curves PAGE 95 99 . 100 . 102 . 105 113 116 120 123 ..130 11. Extension of the Conception of Area 12 . On the Area of a Closed Tangle 13. On the Volumes of Space - Figures On the ...
Σελίδα 48
... circle . FIG . 1 . It divides the surface into two parts , one where it is and one where it is not . We are This circle takes up room on the surface , although the surface itself takes up no room in space . thus led to consider two ...
... circle . FIG . 1 . It divides the surface into two parts , one where it is and one where it is not . We are This circle takes up room on the surface , although the surface itself takes up no room in space . thus led to consider two ...
Σελίδα 49
... circle upon it were dipped into FIG . 2 . water so that part of the black circle were sub- merged , then the line surrounding it would be partly in the water and partly out . The submerged part of the line takes up room on it . It goes ...
... circle upon it were dipped into FIG . 2 . water so that part of the black circle were sub- merged , then the line surrounding it would be partly in the water and partly out . The submerged part of the line takes up room on it . It goes ...
Σελίδα 59
... circle being wholly enclosed by the square . Then when we tilt the cylinder over we shall get it into the position of fig . 9. We have already observed that in this case no smooth - points which were previously in contact remain in ...
... circle being wholly enclosed by the square . Then when we tilt the cylinder over we shall get it into the position of fig . 9. We have already observed that in this case no smooth - points which were previously in contact remain in ...
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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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