Alchemists

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"In the beginning of the year 1665 I found the method of approximating Series and the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of Fluxions, and the next year in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. And the same year I began to think of gravity extending to the orb of the Moon, and having found out how to estimate the force with which [a] globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced that the forces which keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about which they revolve: and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the earth, and found them answer pretty nearly. All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention, and minded Mathematicks and Philosophy more than at any time since. What Mr Hugens has published since about centrifugal forces I suppose he had before me. At length in the winter between the years 1676 and 1677 I found the Proposition that by a centrifugal force reciprocally as the square of the distance a Planet must revolve in an Ellipsis about the center of the force placed in the lower umbilicus of the Ellipsis and with a radius drawn to that center describe areas proportional to the times. And in the winter between the years 1683 and 1684 this Proposition with the Demonstration was entered in the Register book of the R. Society. And this is the first instance upon record of any Proposition in the higher Geometry found out by the method in dispute. In the year 1689 Mr Leibnitz, endeavouring to rival me, published a Demonstration of the same Proposition upon another supposition, but his Demonstration proved erroneous for want of skill in the method."

- Isaac Newton

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"Were I to assume an hypothesis, it should be this, if propounded more generally, so as not to assume what light is further than that it is something or other capable of exciting vibrations of the ether. First, it is to be assumed that there is an ethereal medium, much of the same constitution as air, but far rarer, subtiller, and more strongly elastic. ...In the second place, it is to be supposed that the ether is a vibrating medium, like air, only the vibrations much more swift and minute; those of air made by a man's ordinary voice succeeding at more than half a foot or a foot distance, but those of ether at a less distance than the hundredth-thousandth part of an inch. And as in air the vibrations are some larger than others, but yet all equally swift... so I suppose the ethereal vibrations differ in bigness but not in swiftness. ...In the fourth place, therefore, I suppose that light is neither ether nor its vibrating motion, but something of a different kind propagated from lucid bodies. They that will may suppose it an aggregate of various peripatetic qualities. Others may suppose it multitudes of unimaginable small and swift corpuscles of various sizes springing from shining bodies at great distances one after the other, but yet without any sensible interval of time. ...To avoid dispute and make this hypothesis general, let every man here take his fancy; only whatever light be, I would suppose it consists of successive rays differing from one another in contingent circumstances, as bigness, force, or vigour, like as the sands on the shore... and, further, I would suppose it diverse from the vibrations of the ether. ...Fifthly, it is to be supposed that light and ether mutually act upon one another. ...æthereal vibrations are therefore the best means by which such a subtile agent as light can shake the gross particles of solid bodies to heat them."

- Isaac Newton

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"The Antients, as we learn from Pappus, in vain endeavour'd at the Trisection of an Angle, and the finding out of two mean Proportionals by a right line and a Circle. Afterwards they began to consider the Properties of several other Lines. as the Conchoid, the Cissoid, and the Conick Sections, and by some of these to solve these Problems. At length, having more throughly examin'd the Matter, and the Conick Sections being receiv'd into Geometry, they distinguish'd Problems into three Kinds: viz. (1.) Into Plane ones, which deriving their Original from Lines on a Plane, may be solv'd by a right Line and a Circle; (2.) Into Solid ones, which were solved by Lines deriving their Original from the Consideration of a Solid, that is, of a Cone; (3.) And Linear ones, to the Solution of which were requir'd Lines more compounded. And according to this Distinction, we are not to solve solid Problems by other Lines than the Conick Sections; especially if no other Lines but right ones, a Circle, and the Conick Sections, must be receiv'd into Geometry. But the Moderns advancing yet much farther, have receiv'd into Geometry all Lines that can be express'd by Æquations, and have distinguish'd, according to the Dimensions of the Æquations, those Lines into Kinds; and have made it a Law, that you are not to construct a Problem by a Line of a superior Kind, that may be constructed by one of an inferior one. In the Contemplation of Lines, and finding out their Properties, I like their Distinction of them into Kinds, according to the Dimensions thy Æquations by which they are defin'd. But it is not the Æquation, but the Description that makes the Curve to be a Geometrical one."

- Isaac Newton

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"The Circle is a Geometrical Line, not because it may be express'd by an Æquation, but because its Description is a Postulate. It is not the Simplicity of the Æquation, but the Easiness of the Description, which is to determine the Choice of our Lines for the Construction of Problems. For the Æquation that expresses a Parabola, is more simple than That that expresses a Circle, and yet the Circle, by reason of its more simple Construction, is admitted before it. The Circle and the Conick Sections, if you regard the Dimension of the Æquations, are of the fame Order, and yet the Circle is not number'd with them in the Construction of Problems, but by reason of its simple Description, is depressed to a lower Order, viz. that of a right Line; so that it is not improper to express that by a Circle that may be expressed by a right Line. But it is a Fault to construct that by the Conick Sections which may be constructed by a Circle. Either therefore you must take your Law and Rule from the Dimensions of Æquations as observ'd in a Circle, and so take away the Distinction between Plane and Solid Problems; or else you must grant, that that Law is not so strictly to be observ'd in Lines of superior Kinds, but that some, by reason of their more simple Description, may be preferr'd to others of the same Order, and may be number'd with Lines of inferior Orders in the Construction of Problems."

- Isaac Newton

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"Were it possible to trace the succession of ideas in the mind of Sir Isaac Newton, during the time that he made his greatest discoveries, I make no doubt but our amazement at the extent of his genius would a little subside. But if, when a man publishes discoveries, he, either through design, or through habit, omit the intermediate steps by which he himself arrived at them; it is no wonder that his speculations confound others... [W]here we see him most in the character of an experimental philosopher, as in his optical inquiries... we may easily conceive that many persons, of equal patience and industry... might have done what he did. And were it possible to see in what manner he was first led to those speculations, the very steps by which he pursued them, the time that he spent in making experiments, and all the unsuccessful and insignificant ones that he made in the course of them; as our pleasure of one kind would be increased, our admiration would probably decrease. Indeed he himself used candidly to acknowledge, that if he had done more than other men, it was owing rather to a habit of patient thinking, than to any thing else. ...[T]he interests of science have suffered by the excessive admiration and wonder, with which several first rate philosophers are considered; and... an opinion of the greater equality of mankind, in point of genius, and powers of understanding, would be of real service in the present age."

- Isaac Newton

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"By analyzing the measurements of , Johannes Kepler established that planetary motions weren't circles but ellipses... Through his telescopes, Galileo saw that the Sun had its perfection tarnished by ugly black spots. And the Moon wasn't a perfect sphere but looked like a place, complete with mountains and giant craters. So why didn't it fall down? Isaac Newton finally answered... by exploring... [a radical] idea... that heavenly objects obey the same laws as objects here on Earth. ...Newton ...realized that ...the fate of a horizontally fired cannon ball depends on its speed: it crashes to the ground only if its speed is below some magic value. ...[W]ith ever higher speeds, they'll travel farther ...before landing ...until ...they keep their height over the ground ...constant and never land, merely orbiting ...just like the Moon! Since he knew the strength of gravity near the Earth's surface... he was able to calculate the magic speed... 7.9 kilometers per second. Assuming the Moon... was obeying the same laws... he could similarly predict what speed it needed... Moreover, since the Moon took one month to travel around a circle whose circumference Aristarchos had figured out, Newton already knew its speed... Now he made a remarkable discovery: if he assumed that the force of gravity weakened like the inverse square... then this magical speed that would give the Moon a circular orbit exactly matched its measured speed! He had discovered the law of gravity... applying not merely here on Earth, but in the heavens as well. ...People boldly extrapolated not only to the macrocosmos... but also to the microcosmos, finding that many properties... could be explained by applying to... atoms... The scientific revolution had begun."

- Isaac Newton

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"When he [Newton] uttered his Hypotheses non fingo he was saying in a very abbreviated, and hence cryptic way: In induction, I do not invent hypotheses, and in deduction I do not demonstrate from them. More fully, he meant that the inductive side of scientific method has a beginning, a middle, and an end and all must be complete before any deductive system is set up. The beginning consists in '"hinting several things" or making "conjectures" about the causes of phenomena...because they are "plausible consequences" drawn from the facts...they are not derived, like Descartes' conclusions, merely by the Light of Reason or intuition. Although hypothetical in character, Newton did not call them "hypotheses". The middle consists of examining these "hints" and improving them by observations and the tests of experiment. The end is defined by his remark: "and if no exception occur from phenomena, the conclusion may be pronounced generally" and considered "proved" as a "general law of nature". "Afterwards,", the deduction proceeds by assuming the conclusions established as principles, and from them demonstrating the phenomena...The peculiar character of this method, the stress upon experience and the rejection of hypotheses of the Cartesian kind, may be briefly described in Berkeley's words: "It is one thing to arrive at general laws of nature from a contemplation of of the phenomena, and another to frame an hypothesis, and from thence deduce the phenomena (S, 229)."

- Isaac Newton

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"The overdevelopment of the maternal instinct is identical with that well-known image of the mother which has been glorified in all ages and all tongues. This is the motherlove which is one of the most moving and unforgettable memories of our lives, the mysterious root of all growth and change; the love that means homecoming, shelter, and the long silence from which everything begins and in which everything ends. Intimately known and yet strange like Nature, lovingly tender and yet cruel like fate, joyous and untiring giver of life-mater dolorosa and mute implacable portal that closes upon the dead. Mother is motherlove, my experience and my secret. Why risk saying too much, too much that is false and inadequate and beside the point, about that human being who was our mother, the accidental carrier of that great experience which includes herself and myself and all mankind, and indeed the whole of created nature, the experience of life whose children we are? The attempt to say these things has always been made, and probably always will be; but a sensitive person cannot in all fairness load that enormous burden of meaning, responsibility, duty, heaven and hell, on to the shoulders of one frail and fallible human being—so deserving of love, indulgence, understanding, and forgiveness—who was our mother. He knows that the mother carries for us that inborn image of the mater nature and mater spiritualis, of the totality of life of which we are a small and helpless part."

- Carl Jung

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"My example concerns a young woman patient who, in spite of efforts made on both sides, proved to be psychologically inaccessible. The difficulty lay in the fact that she always knew better about everything. Her excellent education had provided her with a weapon ideally suited to this purpose, namely a highly polished Cartesian rationalism with an impeccably "geometrical" idea of reality. After several fruitless attempts to sweeten her rationalism with a somewhat more human understanding, I had to confine myself to the hope that something unexpected and irrational would turn up, something that burst the intellectual retort into which she had sealed herself. Well, I was sitting opposite of her one day, with my back to the window, listening to her flow of rhetoric. She had an impressive dream the night before, in which someone had given her a golden scarab—a costly piece of jewellery. While she was still telling me this dream, I heard something behind me gently tapping on the window. I turned round and saw that it was a fairly large flying insect that was knocking against the window from outside in the obvious effort to get into the dark room. This seemed to me very strange. I opened the window and immediately and caught the insect in the air as it flew in. It was a scarabaeid beetle, or common rose-chafer, whose gold-green color most nearly resembles that of a golden scarab. I handed the beetle to my patient with the words "Here is your scarab." This broke the ice of her intellectual resistance. The treatment could now be continued with satisfactory results."

- Carl Jung

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"We always require an outside point to stand on, in order to apply the lever of criticism. This is especially so in psychology, where by the nature of the material we are much more subjectively involved than in any other science. How, for example, can we become conscious of national peculiarities if we have never had the opportunity to regard our own nation from outside? Regarding it from outside means regarding it from the standpoint of another nation. To do so, we must acquire sufficient knowledge of the foreign collective psyche, and in the course of this process of assimilation we encounter all those incompatibilities which constitute the national bias and the national peculiarity. Everything that irritates us about others can lead us to an understanding of ourselves. I understand England only when I see where I, as a Swiss, do not fit in. I understand Europe, our greatest problem, only when I see where I as a European do not fit into the world. Through my acquaintance with many Americans, and my trips to and in America, I have obtained an enormous amount of insight into the European character; it has always seemed to me that there can be nothing more useful for a European than some time or another to look out at Europe from the top of a skyscraper. When I contemplated for the first time the European spectacle from the Sahara, surrounded by a civilization which has more or less the same relationship to ours as Roman antiquity has to modem times, I became aware of how completely, even in America, I was still caught up and imprisoned in the cultural consciousness of the white man. The desire then grew in me to carry the historical comparisons still farther by descending to a still lower cultural level. On my next trip to the United States I went with a group of American friends to visit the Indians of New Mexico, the city-building Pueblos..."

- Carl Jung

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"The manuscripts in which these early Greek treatises have been preserved to us seem to be derived from an encyclopaedia compiled during the tenth century, at Constantinople, from the works of various alchemists. ...The Greek text. now published by M. Berthelot and M. [Ch. Em.] Ruelle, custodian of the Library of Ste.-Geneviève, is derived from a careful collation of all these sources, and is accompanied with notes by M. Berthelot bringing light and order into the mystical obscurity in which from the beginning the alchemists enveloped their doctrines. First among these is the 'Physica et Mystica,' ascribed to Democritus of Abdera, a collection of fragments, among which a few receipts for dyeing in purple may be genuine, while the story of magic and the alchemical teaching are evidently spurious. The philosopher is made to state that his studies were interrupted by the death of his master, Ostanes the Magian. He therefore evoked his spirit from Hades, and learned from him that the books which contained the secrets of his art were in a certain temple. He sought them there in vain, till one day, during a feast in the sanctuary, a column opened, and revealed the precious tomes, in which the doctrines of the Master were summed up in the mysterious words: 'Nature rejoices in Nature, Nature conquers Nature, Nature rules Nature.' The unknown Alexandrian who wrote under the name of Democritus gives not only receipts for making white alloys of copper, but others which, he positively asserts, will produce gold. M. Berthelot, however, shows in his notes that they can only result in making amalgams for gilding or alloys resembling gold or varnishes which will give a superficial tinge to metals"

- Osthanes

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"Now manhood and garbroyls I chaunt, and martial horror. I blaze thee captayne first from Troy cittye repairing, Lyke wandring pilgrim too famosed Italie trudging, And coast of Lavyn: soust wyth tempestuus hurlwynd, On land and sayling, bi Gods predestinat order: But chiefe through Junoes long fostred deadlye revengment. Martyred in battayls, ere towne could statelye be buylded, Or Gods theare setled: thence flitted thee Latin ofspring, Thee mote of old Alban: thence was Rome peereles inhaunced. My muse shew the reason, what grudge or what furye kendled Of Gods thee Princesse, through so cursd mischevus hatred, Wyth sharp sundrye perils too tugge so famus a captayne. Such festred rancoure doo Sayncts celestial harbour? A long buylt citty theare stood, Carthago so named, From the mouth of Tybris, from land eke of Italye seaverd, Possest wyth Tyrians, in streingh and ritches abounding. Theare Juno, thee Princes her Empyre wholye reposed, Her Samos owtcasting, heere shee dyd her armonye settle, And warlick chariots, heere chiefly her joylitye raigned. This towne shee labored too make thee gorgeus empresse, Of towns and regions, her drift yf destenye furthred. But this her hole meaning a southsayd mysterie letted That from thee Troians should branch a lineal ofspring, Which would thee Tyrian turrets quite batter a sunder, And Libye land likewise wyth warlick victorye conquoure."

- Richard Stanyhurst

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"Wee leave Creete Country; and our sayls unwrapped uphoysing, With woodden vessel thee rough seas deepelye we furrowe. When we fro land harbours too mayne seas gyddye dyd enter Voyded of al coast sight with wild fluds roundly bebayed, A watrye clowd gloomming, ful above mee clampred, apeered, A sharp storme menacing, from sight beams soonye rejecting: Thee flaws with rumbling, thee wroght fluds angrye doe jumble: Up swel thee surges, in chauffe sea plasshye we tumble: With the rayn, is daylight through darcknesse mostye bewrapped, And thundring lightbolts from torneclowds fyrye be flasshing. Wee doe mis oure passadge through fel fluds boysterus erring, Oure pilot eke, Palinure, through dymnesse clowdye bedusked In poinccts of coompasse dooth stray with palpabil erroure. Three dayes in darcknesse from bright beams soony repealed, And three nights parted from lightning starrye we wandered, The fourth day foloing thee shoare, neere setled, apeered And hils uppeaking; and smoak swift steamed to the skyward. Oure sayls are strucken, we roa Furth with speedines hastye, And the sea by our mariners with the oars cleene canted is harrowd On shoars of strophades from storme escaped I landed, For those plats Strophades in languadge Greekish ar highted, With the sea coucht Islands. Where foule bird foggye Celaeno And Harpy is nestled: sence franckling Phines his housroume From theym was sunderd, and fragments plentye remooved. No plage more perilous, no monster grislye more ouglye, No stigian vengaunce lyke too theese carmoran haggards. Theese fouls lyke maydens are pynde with phisnomye palish; With ramd cramd garbadge, thire gorges draftye be gulled, With tallants prowling, theire face wan withred in hunger, With famin upsoaken."

- Richard Stanyhurst

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"Scant had he thus spoken: when that from mountenus hil toppe Al wee see the giaunt, with his hole flock lowbylyke hagling. Namde the shepeherd Polyphem, to the wel knowne sea syd aproching. A fowle fog monster, great swad, deprived of eyesight: His fists and stalcking are propt with trunck of a pynetree. His flock him doe folow, this charge him chieflye rejoyceth. In grief al his coomfort on neck his whistle is hanged. When that to the seasyde the swayne Longolius hobbled, Hee rinst in the water the drosse from his late bored eyelyd. His tusk grimly gnashing, in seas far waltred, he groyleth; Scantly doo the water surmounting reache to the shoulders. But we being feared, from that coast hastly remooved, And with us embarcked the Greekish suitur, as amply His due request merited, wee chopt off softly the cables. Swift wee sweepe the sea froth with nimble lustilad oare striefe. The noise he perceaved then he turning warily lifteth. But when he consider’d that wee prevented his handling, And that from foloing our ships the fluds hye revockt him, Loud the lowbie brayed with belling monsterous eccho; The water hee shaketh, with his out cryes Italie trembleth, And with a thick thundring the fyerde forge Aetna rebounded. Then runs from mountayns and woods the rowncival helswarme Of Cyclopan lurdens to the shoars in coompanie clustring. Far we se them distaunt, us grimly and vainely beholding. Up to the sky reatching, the breetherne swish swash of Aetna. A folck moaste fulsoom, for sight most fitlye resembling Trees of loftye cipers, with thickned multitud oak rowes; Or Joves great forest, or woods of mightye Diana. Feare thear us enforced with forcing speediness headlong To swap off our cables, and fal to the seas at aventure."

- Richard Stanyhurst

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"... In short, while I am writing the present book, I have written so far around 200 books and articles on different aspects of science, philosophy, theology, and hekmat(wisdom). ... I never entered the service of any king as a military man or a man of office, and if I ever did have a conversation with a king, it never went beyond my medical responsibility and advice. ... Those who have seen me know that I did not [go] into excess with eating, drinking or acting the wrong way. As to my interest in science, people know perfectly well and must have witnessed how I have devoted all my life to science since my youth. My patience and diligence in the pursuit of science has been such that on one special issue specifically I have written 20,000 pages (in small print), moreover I spent fifteen years of my life—night and day—writing the big collection entitled Al Hawi.It was during this time that I lost my eyesight, my hand became paralyzed, with the result that I am now deprived of reading and writing. Nonetheless, I've never given up, but kept on reading and writing with the help of others. I could make concessions with my opponents and admit some shortcomings, but I am most curious what they have to say about my scientific achievement. If they consider my approach incorrect, they could present their views and state their points clearly, so that I may study them, and if I determined their views to be right, I would admit it. However, if I disagreed, I would discuss the matter to prove my standpoint. If this is not the case, and they merely disagree with my approach and way of life, I would appreciate they only use my written knowledge and stop interfering with my behavior."

- Muhammad ibn Zakariya al-Razi

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"When on the above mentioned day [November 11], a little before dinner...I was returning to that house, and during my walk contemplating the sky here and there since the clearer sky seemed to be just what could be wished for in order to continue observations after dinner, behold, directly overhead, a certain strange star was suddenly seen, flashing its light with a radiant gleam and it struck my eyes. Amazed, and as if astonished and stupified, I stood still, gazing for a certain length of time with my eyes fixed intently upon it and noticing that same star placed close to the stars which antiquity attributed to Cassiopeia. When I had satisfied myself that no star of that kind had ever shone forth before, I was led into such perplexity by the unbelievability of the thing that I began to doubt the faith of my own eyes, and so, turning to the servants who were accompanying me, I asked them whether they too could see a certain extremely bright star when I pointed out the place directly overhead. They immediately replied with one voice that they saw it completely and that it was extremely bright. But despite their affirmation, still being doubtful on account of the novelty of the thing, I inquired of some country people who by chance were travelling past in carriages whether they could see a certain star in the height. Indeed, these people shouted out that they saw that huge star, which had never been noticed so high up. And at length, having confirmed that my vision was not deceiving me, but in fact that an unusual star existed there, beyond all type, and marvelling that the sky had brought forth a certain new phenomenon to be compared with the other stars, immediately I got ready my instrument. I began to measure its situation and distance from the neighbouring stars of Cassiopeia, and to note extremely diligently those things which were visible to the eye concerning its apparent size, form, colour, and other aspects."

- Tycho Brahe

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