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April 10, 2026
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"Sir John Herschel's "Outlines of Astronomy"—[is] a work in which one of the most profound mathematicians in the world has succeeded admirably in divesting of all mathematical intricacy the explanation of the principles of that natural science which employs higher mathematics most."
"A hypothetical theory is necessary, as a preliminary step, to reduce the expression of the phenomena to simplicity and order before it is possible to make any progress in framing an abstractive theory."
"We have... used the word stress to denote the mutual action between two portions of matter. This word was borrowed from common language, and invested with a precise scientific meaning by the late Professor Rankine to whom we are indebted for several other valuable scientific terms."
"It is possible to express the laws of thermodynamics in the form of independent principles, deduced by induction from the facts of observation and experiment, without reference to any hypothesis as to the occult molecular operations with which the sensible phenomena may be conceived to be connected; and that course will be followed in the body of the present treatise. But, in giving a brief historical sketch of the progress of thermodynamics, the progress of the hypothesis of thermic molecular motions cannot be wholly separated from that of the purely inductive theory."
"But in practical science, the question is—What are we to do?—a question which involves the necessity for the immediate adoption of some rule of working. In doubtful cases, we cannot allow our machines and our works of improvement to wait for the advancement of science; and if existing data are insufficient to give an exact solution of the question, that approximate solution must be acted upon which the best data attainable show to be the most probable. A prompt and sound judgment in cases of this kind is one of the characteristics of a Practical Man in the right sense of that term."
"Hypothesis Of Molecular Vortices. In thermodynamics as well as in other branches of molecular physics, the laws of phenomena have to a certain extent been anticipated, and their investigation facilitated, by the aid of hypotheses as to occult molecular structures and motions with which such phenomena are assumed to be connected. The hypothesis which has answered that purpose in the case of thermodynamics, is called that of "molecular vortices," or otherwise, the "centrifugal theory of elasticity. (On this subject, see the Edinburgh Philosophical Journal, 1849; Edinburgh Transactions, vol. xx.; and Philosophical Magazine, passim, especially for December, 1851, and November and December, 1855.)"
"Science Of Energetics. Although the mechanical hypothesis just mentioned may be useful and interesting as a means of anticipating laws, and connecting the science of thermodynamics with that of ordinary mechanics, still it is to be remembered that the science of thermodynamics is by no means dependent for its certainty on that or any other hypothesis, having been now reduced, to a system of principles, or general facts, expressing strictly the results of experiment as to the relations between heat and motive power. In this point of view the laws of thermodynamics may be regarded as particular cases of more general laws, applicable to all such states of matter as constitute Energy, or the capacity to perform work, which more general laws form the basis of the science of energetics, — a science comprehending, as special branches, the theories of motion, heat, light, electricity, and all other physical phenomena."
"In theoretical science, the question is—What are we to think? and when a doubtful point arises, for the solution of which either experimental data are wanting, or mathematical methods are not sufficiently advanced, it is the duty of philosophic minds not to dispute about the probability of conflicting suppositions, but to labour for the advancement of experimental inquiry and of mathematics, and await patiently the time when they shall be adequate to solve the question."
"This law (regarding the theoretical efficiency of heat engines by Mr. Joule), and the law of the maximum efficiency of heat engines, are particular cases of a general law which regulates all transformation of energy, and is the basis of the Science of Energetics."
"[O]f that scientifically practical skill which produces the greatest effect with the least possible expenditure of material and work, the instances are comparatively rare. In too many cases we see the strength and the stability which ought to be given by the skilful arrangement of the parts of a structure supplied by means of clumsy massiveness, and of lavish expenditure of material, labour, and money; and the evil is increased by a perversion of the public taste, which causes works to be admired, not in proportion to their fitness for their purposes, or to the skill evinced in attaining that fitness, but in proportion to their size and cost."
"The most absurd of all their delusions commonly called the , or to speak more accurately, the inexhaustible source of power—is, in various forms, the subject of several patents in each year."
"[T]he symbols of algebra, when employed in abstruse and complex theoretical investigations, constitute a sort of thought-saving machine, by whose aid a person skilled in its use can solve problems respecting quantities, and dispense with the mental labour of thinking of the quantities denoted by the symbols, except at the beginning and the end of the operation."
"In treating of the practical application of scientific principles, an algebraical formula should only be employed when its shortness and simplicity are such as to render it a clearer expression of a proposition or rule than common language would be, and when there is no difficulty in keeping the thing represented by each symbol constantly before the mind."
"At Toulon, Napoleon, looking out of the batteries, drew back a step to let some one take his place. The next moment the new arrived was killed. That step brought the French Empire, and made possible the bloody roll of its victories and defeats. The rout at Waterloo turned on a shower of rain hindering Grouchy's advance. The resolution of a moment, with some men, has been the turning-point of infinite issues to a world."
"An undivided heart, which worships God alone, and trusts Him as it should, is raised above anxiety for earthly wants."
"Poor shepherdless sheep! it was His delight, as the Good Shepherd, to lead them to rich pastures; and as they sat and stood around Him, they forgot their bodily wants in the beauty and power of His words."
"But now, the sounds of infancy, always nearest the heart, and sure to come to the lips in our deepest emotion, returned in His anguish; and in words which He had learned at His mother's knee, His heart uttered its last wail — "Eloi! Eloi! lama sabachthani?" "My God! My God! why hast Thou forsaken me?""
"A moment more, and all was over. The cloud had passed as suddenly as it rose. Far and wide, over the vanquished throngs of His enemies, with a loud voice, as if uttering His shout of eternal victory before entering into His glory, He cried, " IT is FINISHED! " Then, more gently, came the words, "Father, into Thy hands I commend my spirit." A moment more, and there arose a great cry, as of mortal agony; the head fell. He was dead."
"Step by step, He had raised their conceptions of Him nearer the unspeakable grandeur of His true nature and work. At first the Teacher, He had, after a time, by gradual disclosures, revealed Himself as the Son of God veiled in the form of man; and, now, since His crucifixion and resurrection, He had taught them to see in Him the Messiah, exalted to immortal and Divine majesty, as the conqueror of Death and the Lord of all."
"The slave who digs in the mine or labors at the oar can rejoice at the prospect of laying down his burden together with his life; but to the slave of guilt there arises no hope from death. On the contrary, he is obliged to look forward with constant terror to this most certain of all events, as the conclusion of all his hopes, and the commencement of his greatest miseries."
"The spirit of true religion breathes gentleness and affability; it gives a native, unaffected ease to the behavior; it is social, kind, cheerful; far removed from the cloudy and illiberal disposition which clouds the brow, sharpens the temper, and dejects the spirit."
"Embellish truth only with a view to gain it the more full and free admission into your hearer's minds; and your ornaments will, in that case, be simple, masculine, natural."
"In the eye of that Supreme Being to whom our whole internal frame is uncovered, dispositions hold the place of actions."
"In whatever light we view religion it appears solemn and venerable. It is a temple full of majesty, to which the worshiper may approach with comfort, in the hope of obtaining grace and finding mercy; but where they cannot enter without being inspired with awe. If we may be permitted to compare spiritual with natural things, religion resembles not those scenes of natural beauty where every object smiles. It cannot be likened to the gay landscape or the flowery field. It resembles more the august and sublime appearances of Nature — the lofty mountain, the expanded ocean, and the starry firmament; at the sight of which the mind is at once overawed and delighted; and, from the union of grandeur with beauty, derives a pleasing but a serious devotion."
"How shocking must thy summons be, O Death! To him that is at ease in his possessions! Who, counting on long years of pleasure here, Is quite unfurnished for the world to come. In that dread moment, how the frantic soul Raves round the walls of her clay tenement; Runs to each avenue, and shrieks for help; But shrieks in vain."
"Dissimulation in youth is the forerunner of perfidy in old age; its first appearance is the fatal omen of growing depravity and future shame."
"That discipline which corrects the baseness of worldly passion, fortifies the heart with virtuous principles, enlightens the mind with useful knowledge, and furnishes it with enjoyment from within itself, is of more consequence to real felicity, than all the provision we can make of the goods of fortune."
"Anxiety is the poison of human life ; the parent of many sins and of more miseries. – In a world where everything is doubtful, and where we may be disappointed, and be blessed in disappointment, why this restless stir and commotion of mind? – Can it alter the cause, or unravel the mystery of human events?"
"Look around you, and you will behold the universe full of active powers. Action is, so to speak, the genius of nature. By motion and exertion, the system of being is preserved in vigor. By its different parts always acting in subordination one to another, the perfection of the whole is carried on. The heavenly bodies perpetually revolve. Day and night incessantly repeat their appointed course. Continual operations are going on in the earth and in the waters. Nothing stands still. All is alive and stirring throughout the universe. In the midst of this animated and busy scene, is man alone to remain idle in his place? Belongs it to him to be the sole inactive and slothful being in the creation, when in so many various ways he might improve his own nature; might advance the glory of the God who made him; and contribute his part in the general good?"
"Between levity and cheerfulness there is a wide distinction; and the mind which is most open to levity is frequently a stranger to cheerfulness."
"Idleness is the great corrupter of youth, and the bane and dishonor of middle age. He who, in the prime of life, finds time to hang heavy on his hands, may with much reason suspect that he has not consulted the duties which the consideration of his age imposed upon him; assuredly he has not consulted his happiness."
"It frequently happens that where the second line is sublime, the third, in which he meant to rise still higher, is perfectly bombast."
"What we call human reason, is not the effort or ability of one, so much as it is the result of the reason of many, arising from lights mutually communicated, in consequence of discourse and writing."
"The great standard of literature as to purity and exactness of style is the Bible."
"Homer is the most simple in his style of all the great poets, and resembles most the style of the poetical parts of the Old Testament. They can have no conception of his manner, who are acquainted with him in Mr. Pope's translation only. An excellent poetical performance that translation is, and faithful in the main to the original. In some places, it may be thought to have even improved Homer. It has certainly softened some of his rudenesses, and added delicacy and grace to some of his sentiments. But withal, it is no other than Homer modernised. In the midst of the elegance and luxuriancy of Mr. Pope's language, we lose sight of the old bard's simplicity. I know indeed no author, to whom it is more difficult to do justice in a translation, than Homer."
"[N]o novels or worldly books come up to the Sermons of McCheyne or the Commentaries of Scott."
"There cannot be a secret Christian. Grace is like ointment hid in the hand; it betrayeth itself. If you truly feel the sweetness of the cross of Christ, you will be constrained to confess Christ before men."
"When a man goes thirsty to the well, his thirst is not allayed by merely going there. On the contrary, it is increased by every step he goes. It is by what he draws out of the well that his thirst is satisfied. And just so it is not by the mere bodily exercise of waiting upon ordinances that you will ever come to peace, but by tasting of Jesus in the ordinances, whose flesh is meat indeed, and His blood drink indeed."
"When this passing world is done, When has sunk yon, glowing sun, When we stand with Christ in glory, Looking o'er life's f1nished story, Then, Lord, shall I fully know — Not till then — how much I owe."
"When I stand before the throne, Dressed in beauty not my own, When I see Thee as Thou art, Love Thee with unsinning heart, Then, Lord, shall I fully know — Not till then — how much I owe."
"The sea ebbs and flows, but the rock remains unmoved."
"Break my hard heart, Jesus my Lord; In the inmost part Hide Thy sweet word."
"One gem from that ocean is worth all the pebbles from earthly streams."
"When you are reading a book in a dark room, and come to a difficult part, you take it to a window to get more light. So take your Bibles to Christ."
"We must not close with Christ because we feel Him, but because God lias said it, and we must take God's word even in the dark."
"Remember, you are not a tree, that can live or stand alone. You are only a branch. And it is only while you abide in Christ, as the branch in the vine, that you will flourish or even live."
"Only a tender flower Sent us to rear, Only a life to love While we are here, Only a baby small, Never at rest; Small, but how dear to us God knoweth best."
"Only a baby small, Dropt from the skies; Only a laughing face, Two sunny eyes; Only two cherry lips, One chubby nose, Only two little hands, Ten little toes."
"Property has its duties as well as its rights."
"How fast we learn in the day of sorrow! Scripture shines out in a new effulgence; every verse seems to contain a sunbeam, every promise stands out in illuminated splendor; things hard to be understood become in a moment plain."