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And that it is not a product of protoplasm, or a result of any particular arrangement of protoplasmic particles or molecules, is not less easily or unanswerably demonstrable.

The combination of a centripetal with a projectile force, in the proportions which obtain in all the planets and satellites of our solar system, gives rise to an elliptical motion; but if the ratio of the two forces to each other were slightly altered, it is demonstrable that the motion produced would be in a circle, or a parabola, or an hyperbola: and it has been surmised that in the case of some comets one of these is really the fact.

I divide all apodeictic propositions, whether demonstrable or immediately certain, into dogmata and mathemata. A direct synthetical proposition, based on conceptions, is a dogma; a proposition of the same kind, based on the construction of conceptions, is a mathema.

All enterprise and spirit of adventure, all heroism and courting of danger for its own attractions, ought naturally to languish in a generation enervated by early habits of personal indulgence. Doubtless they ought; a priori, it seems strictly demonstrable that such consequences should follow.

Thus it would appear to be demonstrable, that, notwithstanding the great change which is exhibited by the animal population of the world as a whole, certain types have persisted comparatively without alteration, and the question arises, What bearing have such facts as these on our notions of the history of life through geological time?

I really think it will be a wise measure for me, and a safe one; and let this tie be for this year only, and then, if it is demonstrable that my fortune is impaired by not playing, the tie will be over, and not renewed the next. In the mean time, and till I shall hear your sentiments upon this, I must avoid going to Almack's, and so I will. . . . I dine to-day at Harry St.

But such far-reaching influences are not demonstrable. Within the whole course of the history of the English language we can hardly point to one important morphological change that was not determined by the native drift, though here and there we may surmise that this drift was hastened a little by the suggestive influence of French forms.

This conception they found repugnant alike to intelligence and conscience, but, though they do not seem to have perceived it, they left the door open for a design more true and more demonstrable than that which they excluded.

It is mathematically demonstrable that this arc of light is precisely what should be seen if Venus has an atmosphere like our earth's. Therefore, to simplify matters, Venus has been provided with a mirror surface and a glass case. The enigma next to be considered is of a more doubtful character than the myth relating to the satellite of Venus.

That is just as demonstrable a scientific fact as the separation of land from water.