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April 10, 2026
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"[H]e should be instructed in the Theory of the Colours; that he should learn... their particular Properties... Relations, and... Effects that are produced by their Mixture; and that he should be made well acquainted with the Nature of the several material Colours... used in Painting."
"There may be regular Methods also invented for teaching the Doctrine of Light and Shadow; and other Particulars relating to the Practical Part of Painting, may be improved and digested into proper Methods... But I only hint at these... recommending them to the Masters of the Art to reflect and improve upon."
"When he is sufficiently perfect in these, I would have him learn Perspective. And when he has made some progress in this, so as to have prepared his Judgment with the right Notions of the Alterations that Figures must undergo, when they come to be drawn on a Flat, he may then be put to Drawing by View, and be exercised in this along with Perspective, till he comes to be sufficiently perfect in both."
"[T]he Method which ought to be follow'd in instructing a Scholar in the Executive Part of Painting; ...first have him learn the most common Effections of Practical Geometry, and the first Elements of Plain Geometry, and common Arithmetic."
"Nothing ought to be more familiar to a Painter than Perspective; for it is the only thing that can make the Judgment correct, and will help the Fancy to invent with ten times the ease that it could do without it."
"The Book it self is so short, that I need not detain the Reader any longer in the Preface..."
"It is generally thought very ridiculous to pretend to write an Heroic Poem, or a fine Discourse upon any Subject, without understanding the Propriety of the Language wrote in; and to me it seems no less ridiculous for one to pretend to make a good Picture without understanding Perspective..."
"The Art Perspective is necessary to all Arts, where there is any occasion for Designing... but it is more particularly necessary to the Art Painting..."
"The Greatest Masters have been the most guilty... The great Occasion of this Fault, is certainly the wrong Method that generally is used in the Education of Persons to this Art: For the Young People are generally put immediately to Drawing, and when they have acquired a Facility in that, they are put to Colouring. And these things they learn by rote, and by Practice only; but are not at all instructed in any Rules of Art. By which means when they come to make any Designs of their own, tho' they... don't know how to govern their Inventions with Judgment, and become guilty of so many gross Mistakes, which prevent themselves, as well as others, from finding that Satisfaction, they otherwise would do in their Performances."
"I have endeavour'd to make every thing so plain, that a very little Skill in Geometry may be sufficient to enable one to read this Book by himself."
"The true and best way of learning any Art, is not to see a great many Examples done by another Person, but to possess ones self first of the Principles of it, and then to make them familiar, by exercising ones self in the Practice. For it is Practice alone, that makes a Man perfect in any thing."
"And upon this occasion I would advise all my Readers, who desire to make themselves Masters of this Subject, not to be contented with the Schemes they find here; but upon every Occasion to draw new ones of their own, in all the Variety of Circumstances they can think of. This will take up a little more Time at first; but in a little while they will find the vast Benefit of it, by the extensive Notions it will give them of the Nature of these Principles."
"I would recommend it to the Masters of the Art Painting... to establish a better Method for the Education of their Scholars, and to begin their Instructions with the Technical Parts of Painting, before they let them loose to follow the Inventions of their own uncultivated Imaginations."
"Dr. Halley..., has publish'd a... compendious and useful Method of extracting the Roots of affected Equations of the common Form, in Numbers. This Method proceeds by assuming the Root desired nearly true... (...by a Geometrical Construction, or by some other convenient way) and correcting the Assumption by comparing the Difference between the true Root and the assumed, by means of a new Equation whose Root is that Difference, and which he shews how to form from the Equation proposed, by Substitution of the Value of the Root sought, partly in known and partly in unknown Terms."
"Considering how few, and how simple the Principles are, upon which the whole Art of PERSPECTIVE depends, and withal how useful, nay how absolutely necessary this Art is to all forts of Designing; I have often wonder'd, that it has still been left in so low a degree of Perfection, as it is found to be, in the Books that have been hitherto wrote upon it."
"It seems that those, who have hitherto treated of this Subject, have been more conversant in the Practice of Designing, than in the Principles of Geometry... that might have enabled them to render the Principles of it more universal, and more convenient for Practice. In this Book I have endeavour'd to do this; and have done my utmost to render the Principles of the Art as general, and as universal as may be, and to devise such Constructions, as might be the most simple and useful in Practice."
"In order to this, I found it absolutely necessary to consider this Subject entirely anew, as if it had never been treated of before; the Principles of the old Perspective being so narrow, and so confined, that they could be of no use in my Design: And I was forced to invent new Terms of Art, those already in use being so peculiarly adapted to the imperfect Notions that have hitherto been had of this Art, that I could make no use of them in explaining those general Principles I intended to establish."
"I make no difference between the Plane of the , and any other Plane whatsoever; for since Planes, as Planes, are alike in Geometry, it is most proper to consider them as so, and to explain their Properties in general, leaving the Artist himself to apply them in particular Cases, as Occasion requires."
"In doing this he makes use of a Table of Products (...he calls Speculum Analyticum,) by which he computes the Coefficients in the new Equation for finding the Difference mentioned. This Table, I observed, was formed in the same Manner from the Equation propos'd, as the s are, taking the Root sought for the only flowing Quantity, its Fluxion for Unity, and after every Operation dividing the Product successively by the Numbers 1, 2, 3, 4, etc."
"Hence I soon found that this Method might easily and naturally be drawn from Cor 2. Prop. 7. of my Methodus Incrementorum, and that it was capable of a further degree of Generality; it being Applicable, not only to Equations of the common Form, (viz. such as consist of Terms wherein the Powers of the Root sought are positive and integral, without any Radical Sign) but also to all Expressions in general, wherein any thing is proposed as given which by any known Method might be computed; if vice versâ, the Root were consider'd as given: such as are all Radical Expressions of Binomials, Trinomials, or of any other Nomial, which may be computed by the Root given, at least by s, whatever be the Index of the Power of that Nomial; as likewise Expressions of Logarithms, of Arches by the Sines or s, of Areas of Curves by the Abscissa's or any other Fluents, or Roots of Fluxional Equations, etc."
"z and x being two flowing Quantities (whose Relation... may be exprest by any Equation...) by [the aforesaid] Corollary, while z by flowing uniformly becomes z+v, x will becomex + \frac {\dot{x}}{1 \cdot \dot{z}}v + \frac {\ddot{x}}{1 \cdot 2 \cdot \dot{z}^2}v^2 +... etc. or"
"To few Freemasons of the present day, except to those who have made Freemasonry a subject of especial study, is the name of Desaguliers very familiar. But it is well that they should know that to him, perhaps, more than to any other man, are we indebted for the present existence of Freemasonry as a living Institution, for it was his learning and social position that gave a standing to the Institution, which brought to its support noblemen and men of influence so that the insignificant assemblage of four London Lodges at the Apple-Tree Tavern has expanded into an association which now shelters the entire civilized world. And the moving spirit of all this was John Theophilus Desaguliers."
"It is to Sir Isaac Newton's Application of Geometry to Philosophy, that we owe the routing of this Army of Goths and Vandals in the philosophical World; which he has enriched with more and greater Discoveries, than all the Philosophers that went before him: And has laid such Foundations for future Acquisitions, that even after his Death, his Works still promote natural Knowledge. Before Sir Isaac, we had but wild Guesses at the Cause of the Motion of the Comets and Planets round the Sun', but now he has clearly deduced them from the universal Laws of Attraction (the Existence of which he has proved beyond Contradiction) and has shewn, that the seeming Irregularities of the Moon, which Astronomers were unable to express in Numbers, are but the just Consequences of the Actions of the Sun and Earth upon it, according to their different Positions. His Principles clear up all Difficulties of the various Phænomena of the Tides; and the true Figure of the Earth is now plainly shewn to be a flatted Spheroid higher at the Equator than the Poles, notwithstanding many Assertions and Conjectures to the contrary."
"When mons. Descartes's philosophical Romance, by the Elegance of its Style and the plausible Accounts of natural Phænomena, had overthrown the Aristotelian Physics, the World received but little Advantage by the Change: For instead of a few Pedants, who, most of them, being conscious of their Ignorance, concealed it with hard Words and pompous Terms; a new Set of Philosophers started up, whose lazy Disposition easily fell in with a Philosophy, that required no Mathematicks to understand it, and who taking a few Principles for granted, without examining their Reality or Consistence with each other, fancied they could solve all Appearances mechanically by Matter and Motion; and, in their smattering Way, pretended to demonstrate such things, as perhaps Cartesius himself never believed ; his Philosophy (if he bad been in earnest) being unable to stand the test of the Geometry which he was Master of."
"But to return to the Newtonian Philosophy: Tho' its Truth is supported by Mathematicks, yet its Physical Discoveries may be communicated without. The great Mr. Locke was the first who became a Newtonian Philosopher without the help of Geometry; for having asked Mr. Huygens, whether all the mathematical Propositions in Sir Isaac's Principia were true, and being told he might depend upon their Certainty; he took them for granted, and carefully examined the Reasonings and Corollaries drawn from them, became Master of all the Physics, and was fully convinc'd of the great Discoveries contained in that Book."
"All the knowledge we have of nature depends upon facts; for without observations and experiments our natural philosophy would only be a science of terms and an unintelligible jargon. But then we must call in Geometry and Arithmetics, to our Assistance, unless we are willing to content ourselves with natural History and conjectural Philosophy. For, as many causes concur in the production of compound effects, we are liable to mistake the predominant cause, unless we can measure the quantity and the effect produced, compare them with, and distinguish them from, each other, to find out the adequate cause of each single effect, and what must be the result of their joint action."
"I don't know who won the Battle of the Marne. But if it had been lost, I know who would have lost it."
"Soldiers of Verdun! It is your valour which has made this possible, for your heroic resistance was the indispensable condition to our success. Upon it still depends our future victory. Upon all the vast theatres of Europe, thanks to you, there now exists a situation out of which will spring the definite triumph of our cause. I make one more appeal to your courage, your ardour, your spirit of sacrifice, your love of country. Hold fast and strive with all your might to shatter the last desperate efforts of an enemy now at bay."
"In one respect the Germans came remarkably close to their objective of annihilating the enemy. The total number of French dead by the end of December 1914 was 265,000; indeed their casualties of all types had already reached 385,000 by September 10. Not only that, but the French had lost a tenth of their field artillery and half a million rifles. Worst of all, a very substantial part of their heavy industrial capacity was now under enemy control. The puzzle is why these heavy losses did not lead to a complete collapse - as had happened in 1870 and would happen again in 1940. Some credit must certainly go to the imperturbable French Commander-in-Chief Joseph Joffre, and particularly to his ruthless purge of senescent or incompetent French commanders as the crisis unfolded. Fundamentally, however, time was against Moltke for the simple reason that the French could redeploy more swiftly than the Germans could advance once they had left their troop trains. On August 23 the three German armies on Moltke's right wing constituted twenty-four divisions, facing just seventeen and a half Entente divisions; by September 6 they were up against forty-one. The chance of a decisive victory was gone, if it had ever existed. At the Marne, the failure of Moltke's gamble was laid bare. He himself suffered a nervous breakdown."
"When we got our weapons, first we said for [Christian] Faith and then for the Nation."
"He was the God of War."
"49 years I fight for the Fatherland."
"Greeks, God has signed our Liberty and will not go back on his promise."
"I was born in 1770, on April the 3rd, on the Easter Monday. The rebellion in the Peloponnese broke out in 1769. I was born under a tree on a mountain called Ramovouni, situated in old Messenia"
"It was not until our rising that all the Greeks were brought into communication. There were men who knew of no place beyond a mile of their own locality."
"Fire and Axe to those who submit!"
"According to my judgement, the French Revolution and the doings of Napoleon opened the eyes of the world. The nations knew nothing before and the people thought that kings were gods upon the earth and that they were bound to say that whatever they did as well done. Through this present change it is more difficult to rule the people."
"Greeks! today we are born and today we shall die for the salvation of our Homeland."
"Itinuturo ng katwiran, na wala tayong iba pang maaantay kundi lalu't lalong kahirapan, lalu't lalong kataksilan, lalu't lalong kaalipustaan at lalu't lalong kaalipinan. Itinuturo ng katwiran na huwag nating sayangin ang panahon sa pag-asa sa ipinangakong kaginhawaan na hindi darating at hindi mangyayari … Itinuturo ng katwiran ang tayo’y magkaisang-loób, magkaisang-isip, at akala at nang tayo’y magkalakas na maihanap ang naghaharing kasamaan sa ating Bayan."
"Ibigin mo ang iyóng Bayan nang sunód kay Bathalà , sa iyóng kapurihan, at higÃt sa lahat sa iyong sarili."
"Itinuturo ng katwiran na tayo’y magkaisang-loob, magkaisang-isip at nang tayo’y magkalakas na maihanap ang naghaharing kasamaan sa ating Bayan. Panahon na ngayong dapat na lumitaw ang liwanag ng katotohanan; panahon ng dapat nating ipakilala na tayo’y may sariling pagdaramdam, may puri, may hiya, at may pagdadamayan."
"As Wishaupt lived under the tyranny of a despot & priests, he knew that caution was necessary even in spreading information, & the principles of pure morality.… He proposed to initiate new members into his body by gradations proportioned to his fears of the thunderbolts of tyranny. This has given an air of mystery to his views, was the foundation of his banishment, the subversion of the masonic order, & is the colour for the ravings against him of Robinson, Barruel & Morse, whose real fears are that the craft would be endangered by the spreading of information, reason, & natural morality among men."
"Wishaupt seems to be an enthusiastic Philanthropist. He is among those (as you know the excellent [Richard] Price and Priestley also are) who believe in the indefinite perfectibility of man. He thinks he may in time be rendered so perfect that he will be able to govern himself in every circumstance so as to injure none, to do all the good he can, to leave government no occasion to exercise their powers over him, & of course to render political government useless."
"It has been claimed that Dr. Weishaupt was an atheist, a Cabalistic magician, a rationalist, a mystic; a democrat, a socialist, an anarchist, a fascist; a Machiavellian amoralist, an alchemist, a totalitarian and an "enthusiastic philanthropist." (The last was the verdict of Thomas Jefferson, by the way.)"
"This first stage of the life of the whole race is savagery, raw nature:… a condition in which man enjoys the most exquisite goods, equality and freedom, in full abundance, and would also enjoy them forever, if he would follow the hint of nature and understand the art of not abusing his powers and preventing the outbreak of his excessive passions."
"In the stage of manhood alone does the human race first appear in his dignity; only there are his principles fixed, his connections appropriate, he sees the full circumference of his sphere; there alone — after we have already learned through many detours, through long, repeated, sad experiences, what a calamity it is to arrogate the rights of others, to raise oneself over others through mere external advantages, to use his size to the detriment of others — there alone one recognizes, believes, feels what an honor, what a joy it is to be a human being."
"In this time, when the games and abuses of secret societies were without end, I wanted to make use of this human weakness for a real and worthy goal, the welfare of mankind.… I wanted what the heads of the ecclesiastical and secular powers should do and want by virtue of their offices."
"The one safe generalization one can make is that Weishaupt's intent to maintain secrecy has worked; no two students of Illuminology have ever agreed totally about what the "inner secret" or purpose of the order actually was (or is …)."
"Since the number of men is large but the earthly realm is not inexhaustible, one man can no longer profit from the labour of twenty. Moderation, contentment, and frugality must become the general morals of mankind. […] The whole earth becomes a garden, and nature has at last completed her day’s work here below, bringing permanent enlightenment, peace, and felicity together with the greatest possible number of men : she has anointed every man as his own judge, priest, and king; has turned the often-ridiculed tale of the golden age, mankind’s favorite idea of old, into a reality by discreetly removing the eternal inequality of wealth, which has been ineffectively combated by all lawgivers and has always has crept back in, and which is the source of the decay of all nations, and the root of servitude, tyranny, and disunity among men, of venality and moral corruption, making it forever impossible through the excessive growth of the human population."
"I myself brought Deism no more to Bavaria than to Rome or Italy. I found it there already; and I shall give the reasons below, just why in the most fanatical countries, and more under Catholicism than Protestantism, this sort of person is found in such a measure and multitude."