...which these speculations may be applied to the investigation of physical phenomena. I hold in fact (1) That small portions of space are in fact of a...little hills on a surface which is on the average * [From Cambridge Philosophical Society's Proceedings, n. 1876. Read Feb. 21, 1870, pp. 157, 158.]...

...to the investigation of physical phenomena. I hold in fact : "(1) That small portions of space are of a nature analogous to little hills on a surface...property of being curved or distorted is continually passed on from one portion of space to another after the manner of a wave. " (3) That this variation...

...risk of extending a review already too long: "I hold in fact: (1) That small portions of space are of a nature analogous to little hills on a surface...property of being curved or distorted is continually passed on from one portion of space to another after the manner of a wave. (3) That this variation...

...four-dimensional continuum. but of the ordinary three-dimensional space. He states : " I hold, in fact — (1) that small portions of space are in fact of a...little hills on a surface which is on the average flat ; (2) that this property of being curved or distorted is continually being passed on from one portion...

...empty, curved, metric space. Said he : 1 hold in fuel (1) That small portions or space an. in fuel of a nature analogous to little hills on a surface which is on the average flat: name)y, that the ordinary laws of [Euclidean] geometry are not valid in them. (2) That this property...

...these "hills" in space. Clifford wrote in 1870: I hold in fact: (1) That small portions of space are of a nature analogous to little hills on a surface which is on the average flat. (2) That this property of being curved or distorted is continually passed on from one portion of space...

...relative space or Kant's phenomenal realm. By contrast, William Kingdon Clifford wrote: I hold in fact ( 1 ) that small portions of space are in fact of a...namely, that the ordinary laws of geometry are not valid hi them. (2 } that this property of being curved or distorted is continually being passed on from one...

...spacetime. One can very well have a gravitational landscape made of 'small portions of space . . . of a nature analogous to little hills on a surface which is on the average flat', as Clifford had envisioned! \ I NO FORCE! S .^ Fig. 10.8. In an arbitrary gravitational field the acceleration...

...point was developed by William Kingdon Clifford.12 I hold in fact: (1) That smalt portlons of space are of a nature analogous to little hills on a surface which is on the average flat. (2) That this property of being curved or distorted is continually passed on from one portion of space...

...Theory of Matter" before the Cambridge Philosophical Society on February 21, 1870, he said: I hold: 1) that small portions of space are, in fact, of a nature analogous to little hills on a surface that is on the average flat; namely, that the ordinary laws of geometry are not valid in them; 2) that...