英语词汇“law or principle of continuity”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

b. law or principle of continuity: the principle that all change, sequence, or series in nature is continuous, and that nothing passes from one state to another per saltum.The phrase originated with Leibniz. In 1687 he laid down as a general principle, that where there is continuity between data, such that one case continually approaches and at length loses itself in another, there will be a corresponding continuity in results or properties. For example, it is a property of the ellipse that all rays from the one focus are reflected from the curve to the other; in the parabola all such rays reflected at the curve are parallel; if there be given a series of ellipses continually approaching the parabola by the continuous increase of distance between the foci, the focal radii of these will continuously approach the relation of parallelism, so as at length to differ from it by less than any assignable amount. This was according to Leibniz ‘a principle of general order’, having its origin in the mathematical infinite, absolutely necessary in Geometry, but holding good also in Physics, because the Sovereign Wisdom, the source of all things, acts as a perfect Geometer, and according to a harmony that admits of no addition. In 1702 he referred to this principle as ‘the law of continuity’, and claimed that it operates in all natural phenomena; and in his Nouveaux Essais, he declared it to be part of his ‘Law of Continuity’ that everything in nature goes by degrees, and nothing per saltum.

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the world > existence and causation > existence > materiality > [phrase] > law of nature

law or principle of continuity1753

1687 G. W. Leibniz Lettre à Mr. Bayle in Opera Philosophica (1840) 104.

1690 G. W. Leibniz Lettre à Mr. Arnauld in Opera Philosophica (1840) 107 Chacune de ces substances contient dans sa nature legem continuationis seriei suarum operationum.

1702 G. W. Leibniz Repl. aux Refl. de Bayle in Opera Philosophica (1840) 189/2 Qu'il ne se rencontre jamais rien, où la loi de la continuité (que j'ai introduite, et dont j'ai fait la première mention dans les Nouvelles de la République des Lettres de Mr. Bayle), et toutes les autres règles les plus exactes des Mathématiques soient violées.

a1716 G. W. Leibniz Nouv. Ess. iv. xvi Tout va par degrés dans la nature et rien par saut, et cette règle, à l'égard des changements, est une partie de ma loi de la continuité.]

1753 Chambers's Cycl. Suppl. (at cited word) An eminent mathematician has supposed what he calls a law of continuity to obtain in the universe, by which law every thing that is executed or done in nature, is done by infinitely small degrees.

1819 J. Playfair Outl. Nat. Philos. (ed. 3) I. 271 When bodies, whether solid or fluid, act on one another by impulse or percussion, in such a manner that their action is subject to the law of continuity.

1830 J. F. W. Herschel Prelim. Disc. Study Nat. Philos. 189 It prevents a breach of the law of continuity between transparent and opake bodies.

1841 J. R. Young Math Diss. ii. 74 That the angle changes at once from 90° to zero, is to admit so palpable a violation of the principle of continuity..that, etc.

1862 Mulcahy Mod. Geom. (ed. 2)

1878 B. Stewart & P. G. Tait Unseen Universe (1880) p. xii We endeavour to show..that immortality is strictly in accordance with the principle of Continuity (rightly viewed).

单词	law or principle of continuity
释义	> as lemmas law or principle of continuity b. law or principle of continuity: the principle that all change, sequence, or series in nature is continuous, and that nothing passes from one state to another per saltum.The phrase originated with Leibniz. In 1687 he laid down as a general principle, that where there is continuity between data, such that one case continually approaches and at length loses itself in another, there will be a corresponding continuity in results or properties. For example, it is a property of the ellipse that all rays from the one focus are reflected from the curve to the other; in the parabola all such rays reflected at the curve are parallel; if there be given a series of ellipses continually approaching the parabola by the continuous increase of distance between the foci, the focal radii of these will continuously approach the relation of parallelism, so as at length to differ from it by less than any assignable amount. This was according to Leibniz ‘a principle of general order’, having its origin in the mathematical infinite, absolutely necessary in Geometry, but holding good also in Physics, because the Sovereign Wisdom, the source of all things, acts as a perfect Geometer, and according to a harmony that admits of no addition. In 1702 he referred to this principle as ‘the law of continuity’, and claimed that it operates in all natural phenomena; and in his Nouveaux Essais, he declared it to be part of his ‘Law of Continuity’ that everything in nature goes by degrees, and nothing per saltum. ΘΚΠ the world > existence and causation > existence > materiality > [phrase] > law of nature law or principle of continuity1753 1687 G. W. Leibniz Lettre à Mr. Bayle in Opera Philosophica (1840) 104. 1690 G. W. Leibniz Lettre à Mr. Arnauld in Opera Philosophica (1840) 107 Chacune de ces substances contient dans sa nature legem continuationis seriei suarum operationum. 1702 G. W. Leibniz Repl. aux Refl. de Bayle in Opera Philosophica (1840) 189/2 Qu'il ne se rencontre jamais rien, où la loi de la continuité (que j'ai introduite, et dont j'ai fait la première mention dans les Nouvelles de la République des Lettres de Mr. Bayle), et toutes les autres règles les plus exactes des Mathématiques soient violées. a1716 G. W. Leibniz Nouv. Ess. iv. xvi Tout va par degrés dans la nature et rien par saut, et cette règle, à l'égard des changements, est une partie de ma loi de la continuité.] 1753 Chambers's Cycl. Suppl. (at cited word) An eminent mathematician has supposed what he calls a law of continuity to obtain in the universe, by which law every thing that is executed or done in nature, is done by infinitely small degrees. 1819 J. Playfair Outl. Nat. Philos. (ed. 3) I. 271 When bodies, whether solid or fluid, act on one another by impulse or percussion, in such a manner that their action is subject to the law of continuity. 1830 J. F. W. Herschel Prelim. Disc. Study Nat. Philos. 189 It prevents a breach of the law of continuity between transparent and opake bodies. 1841 J. R. Young Math Diss. ii. 74 That the angle changes at once from 90° to zero, is to admit so palpable a violation of the principle of continuity..that, etc. 1862 Mulcahy Mod. Geom. (ed. 2) 1878 B. Stewart & P. G. Tait Unseen Universe (1880) p. xii We endeavour to show..that immortality is strictly in accordance with the principle of Continuity (rightly viewed). extracted from continuityn. < as lemmas
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