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April 10, 2026
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"To have been a Sovereign, yet the champion of liberty,—a revolutionary leader, yet the supporter of social order, is the peculiar glory of William. Till his accession the British Constitution was in its Chaos. It had contained, from a very remote period, the simple elements of an harmonious government. But they were in a state not of amalgamation, but of conflict,—not of equilibrium but of alternate elevation and depression. The tyranny of Charles the first produced civil war and anarchy. Tyranny had now again produced resistance and revolution. And, but for the wisdom of the new King, it seems probable that the same cycle of misery would have been again described."
"Despite the considerable opposition he faced, William achieved much as King. He retained the crown; guided the nation through a protracted war; established Britain as central to the anti-French alliance; committed the nation to the Hanoverian succession; oversaw the transformation of public finances; altered the relationship between Church and State; and worked with Parliament. This last point distinguished him from Charles II and James II. They preferred to use the legislature only occasionally, managing to reign without it for long periods. William had no such choice. And though he was not always able to get his way—witness his failures over triennial parliaments and Irish estates—he was able to avoid a fundamental breakdown in relations between Crown and Parliament. That was not easy, for he was a foreign invader who spent vast amounts of English tax revenues abroad. Fundamental to his success was his Protestantism and his appreciation of the need to rule through Parliament via English ministers. These were no small matters, for James had failed on both counts. Moreover, as time passed, William was able to tie more and more of the political nation to his regime."
"He persevered to expel the fears of his people, by his fortitude; to steady their fickleness, by his constancy; to expand their narrow prudence, by his enlarged wisdom; to sink their factious temper in his public spirit. In spite of his people, he resolved to make them great and glorious; to make England, inclined to shrink into her narrow self, the Arbitress of Europe, the tutelary Angel of the human race. In spite of the Ministers, who staggered under the weight that his mind imposed upon theirs, unsupported as they felt themselves by the popular spirit, he infused into them his own soul; he renewed in them their ancient heart; he rallied them in the same cause."
"The steps which were taken, at that time, to compose, to reconcile, to unite, and to discipline all Europe against the growth of France, certainly furnish to a statesman the finest and most interesting part in the history of that great period. It formed the master-piece of King William's policy, dexterity, and perseverance. Full of the idea of preserving, not only a local civil liberty, united with order, to our country, but to embody it in the political liberty, the order, and the independence of nations united under a natural head, the King called upon his Parliament to put itself into a posture to preserve to England the weight and influence it at present had on the counsels and affairs ABROAD. "It will be requisite Europe should see you will not be wanting to yourselves.""
"It is to William III that the Dutch Republic owed her survival, when the mistakes of de Witt had made survival extremely unlikely... Obviously enough, William III was the Deliverer of England from the tyranny and arbitrary government of the Stuarts, as he was the Deliverer of Europe from the tyranny of Louis XIV. But in England he was more than this. He repaired and improved an obsolete system of government, and left it strong enough to withstand the stresses of the next century virtually unchanged. The army of Marlborough, and that of Wellington, and to a large extent that of Raglan, was the creation of William III. So too was the independence of the judiciary."
"By saving the Republic from the French he had become a real hero. He was still very young, not yet twenty-four. Yet no one could think of treating him as his father had been treated. For the rest of his life, no matter how bitterly he became involved in party politics, no matter what mistakes he seemed to make, his enemies had to treat him with respect. He was the Redeemer of the Fatherland. He had a claim on the gratitude of his people which could never be repaid."
"De Witt's administration coincided with the greatest period of prosperity and the greatest cultural and artistic achievements of Dutch history. Later, looking back in less prosperous times to this golden age, men tended to blame William III for beginning the decline of the Republic. But William did not inherit a golden age. He inherited the Water Line, a defeated army, a country half occupied and more than half beaten. That William's age was less prosperous than de Witt's is at least partially the Pensionary's fault. That the Republic survived at all, that time was given for it to have a silver age if not another golden one, is due very largely to the Prince."
"Can this last long?"
"Let Me conjure you to disappoint the only Hopes of Our Enemies, by your Unanimity. I have shewn, and will always shew, how desirous I am to be the Common Father of all My People: Do you in like manner lay aside Parties and Divisions; Let there be no other Distinction heard of among Us for the future, but of those who are for the Protestant Religion and the present Establishment, and of those who mean a Popish Prince and a French Government. I will only add this, If you do in good earnest desire to see England hold the Balance of Europe, and to be indeed at the Head of the Protestant Interest, it will appear by your right improving the present Opportunity."
"It is fit I should tell you, the Eyes of all Europe are upon this Parliament, all Matters are at a stand till your Resolutions are known, and therefore no Time ought to be lost. You have yet an opportunity, by God's Blessing, to secure to you and your Posterity the quiet Enjoyment of your Religion and Liberties, if you are not wanting to your selves, but will exert the Ancient Vigor of the English Nation: But I tell you plainly My Opinion is, If you do not lay hold on this Occasion, you have no Reason to hope for another."
"In order to obviate the general Calamity with which the rest of Christendom is threatned by this Exorbitant Power of France, I have concluded several Alliances, according to the Encouragement given Me by Both Houses of Parliament; which I will direct shall be laid before you, and which I do not doubt you will enable Me to make good."
"By the French King's placing his Grandson on the Throne of Spain, he is in a Condition to oppress the rest of Europe, unless speedy and effectual Measures be taken. Under this pretence, he is become the real Master of the whole Spanish Monarchy; he has made it to be entirely depending on France, and disposes of it as of his own Dominions, and by that means he has surrounded his Neighbours in such a manner, that though the Name of Peace may be said to continue, yet they are put to the Expence and Inconveniences of War. This must affect England in the nearest and most sensible Manner, in respect to our Trade, which will soon become precarious in all the valuable Branches of it; in respect to our Peace and Safety at Home, which we cannot hope should long continue; and in respect to that part which England ought to take in the Preservation of the Liberty of Europe."
"The Owning and Setting up the Pretended Prince of Wales for King of England, is not only the highest Indignity offered to Me and the whole Nation, but does so nearly concern every Man, who has a Regard for the Protestant Religion, or the present and future Quiet and Happiness of your Country, that I need not Press you to lay it seriously to Heart, and to consider what further effectual Means may be used for securing the Succession of the Crown in the Protestant Line, and Extinguishing the Hopes of all Pretenders, and their open or Secret Abettors."
"[T]he Flourishing of Trade, the Supporting of Credit, and the Quiet of Peoples Minds at home, will depend upon the Opinion they have of their Security; and to preserve to England the Weight and Influence it has at present on the Councils and Affairs Abroad, it will be requisite Europe should see you will not be wanting to your selves."
"I shall conclude with telling You, That as I have, with the Hazard of every Thing, Rescued your Religion, Laws and Liberties, when they were in the Extremest Danger; so I shall place the Glory of My Reign in Preserving them Entire, and leaving them so to Posterity."
"Our Naval Force being increased to near double what it was at my Accession to the Crown, the Charge of Maintaining it will be proportionably augmented; and it is certainly necessary for the Interest and Reputation of England, to have always a great Strength at Sea. The Circumstances of Affairs Abroad are such, that I think my self oblig'd to tell you My Opinion, That for the present, England cannot be Safe without a Land Force, and I hope We shall not give those who mean Us Ill, the opportunity of Effecting that, under the Notion of a Peace, which they could not bring to pass by a War."
"I did recommend to the last Parliament the Forming some good Bill for the Encouragement and Increase of Seamen; I hope you will not let this Session pass without doing somewhat in it; and that you will consider of such Laws as may be proper for the advancement of Trade, and will have a particular regard to that of the East-Indies, lest it should be lost to the Nation."
"Upon this Occasion I cannot but take notice of the Courage and Bravery which the English Troops have shewn this last Summer; which I may say has answer'd their highest Character in any Age: And it will not be denied, that without the concurrence of the Valour and Power of England, it were impossible to put a Stop to the Ambition and Greatness of France."
"[I]t will well Deserve Your Consideration, Whether We are not defective both in the Number of Our Shipping, and in proper Ports to the Westward, for the better Annoying Our Enemies, and Protecting Our Trade, so Essential to the Welfare of this Kingdom."
"Now, as I have neither spared My Person, nor My Pains, to do you all the Good I could; so I doubt not, but if you will as cheerfully do your Parts, it is in your Power to make both Me and your selves Happy, and the Nation Great: And on the other hand it is too plain, by what the French have let you see so lately, that if the present War be not prosecuted with Vigour, no Nation in the World is exposed to greater Danger... It is further Necessary to inform you, That the whole Support of the Confederacy abroad, will absolutely depend upon the Speed and Vigour of your Proceedings in this Session."
"I think My Self obliged to take Notice, how well the Army there [Ireland] have behaved themselves on all Occasions, and born great Hardships with little Pay, and with so much Patience and Willingness, as could not proceed but from an Affectionate Duty to My Service, and a Zeal for the Protestant Religion."
"We do in the last place invite and require all Persons whatsoever, all the Peers of the Realm, both Spiritual and Temporal, all Lord Lieutenants, Deputy Lieutenants, and all Gentlemen, Citizens, and other Commons of all Ranks, to come and assist us in order to the executing of this our Design, against all such as shall endeavour to oppose us, that so we may prevent all those Miseries which must needs follow upon the Nations being kept under Arbitrary Government and Slavery; and that all the Violences and Disorders which have overturned the whole Constitution of the English Government, may be fully redressed in a FREE AND LEGAL PARLIAMENT."
"And We for our Part, will concur in every thing that may Procure the Peace and Happiness of the Nation, which a free and lawfull Parliament shall determine; since We have nothing before our Eyes in this our Undertaking, but the Preservation of the Protestant Religion, the covering of all Men from Persecution for their Consciences, and the securing to the whole Nation the free Enjoyment of all their Laws, Rights and Liberties, under a just and legal Government."
"[T]his our Expedition is intended for no other Design, but to have a free and lawful Parliament assembled, as soon as possible."
"And since the English Nation has ever testified a most particular Affection and Esteem, both to our Dearest Consort the Princess, and to Our Selves, We cannot excuse our selves from espousing their Interests in a Matter of such high Consequence, and from contributing all that lies in us for the maintaining both of the Protestant Religion, and of the Laws and Liberties of those Kingdoms, and of the securing to them the continual Enjoyment of all their just Rights. To the doing of which we are most earnestly solicited by a great many Lords both Spiritual and Temporal, and by many Gentlemen and other Subjects of all Ranks. Therefore it is that we have thought fit to go over to England, and to carry over with us a Force sufficient, by the Blessing of God, to defend us from the Violence of those Evil Counsellors."
"Those great and insufferable Oppressions, and the open Contempt of all Law, together with the apprehensions of the sad Consequences that must certainly follow upon it, have put the Subjects under great and just Fears, and have made them look after such lawfull Remedies as are allowed of in all Nations; yet all has been without Effect. And those Evil Counsellours have endeavoured to make all Men apprehend the loss of their Lives, Liberties, Honours, and Estates, if they should go about to preserve themselves from this Oppression by Petitions, Representations, or other Means authorized by Law."
"[T]he Greatness and Security, both of Kings, Royal Families, and of all such as are in Authority, as well as the Happiness of their Subjects and People, depend in a most especial manner, upon the exact observation and maintenance of these their Laws, Liberties, and Customs."
"King William was a brave and warlike king: he would have been glad of more power than he ought to have; but his parliaments kept him within due bounds against his will. To the Revolution we again owe our liberties."
"I considered him as a person raised up by God to resist the power of France, and the progress of tyranny and persecution: the series of the five princes of Orange, that was now ended in him, was the noblest succession of heroes that we find in any history: and the thirty years, from the year 1672 to his death, in which he acted so great a part, carry in them so many amazing steps of a glorious and distinguishing providence, that in the words of David he may be called, the man of God's right hand, whom he made strong for himself: after all the abatements that may be allowed for his errors and faults, he ought still to be reckoned among the greatest princes that our history, or indeed that any other, can afford."
"It's evident God had no design to make a particular Enumeration in the Holy Scriptures, of all the Works of his Creation."
"I believe that we do not know anything for certain, but everything probably."
"I do not mind at all that [Newton] is not a Cartesian provided he does not offer us suppositions like that of attraction."
"One finds in this subject a kind of demonstration which does not carry with it so high a degree of certainty as that employed in geometry; and which differs distinctly from the method employed by geometers in that they prove their propositions by well-established and incontrovertible principles, while here principles are tested by inferences which are derivable from them. The nature of the subject permits of no other treatment. It is possible, however, in this way to establish a probability which is little short of certainty. This is the case when the consequences of the assumed principles are in perfect accord with the observed phenomena, and especially when these verifications are numerous; but above all when one employs the hypothesis to predict new phenomena and finds his expectations realized."
"I had not thought of this regular decrease of gravity, namely that it is as the inverse square of the distance; this is a new and highly remarkable property of gravity."
"I esteem his [Newton's] understanding and subtlety highly, but I consider that they have been put to ill use in the greater part of this work, where the author studies things of little use or when he builds on the improbable principle of attraction."
"A Man that is of Copernicus’s Opinion, that this Earth of ours is a Planet, carry’d round and enlighten’d by the Sun, like the rest of the Planets, cannot but sometimes think, that it’s not improbable that the rest of the Planets have their Dress and Furniture, and perhaps their Inhabitants too as well as this Earth of ours..."
"There are many degrees of Probable, some nearer Truth than others, in the determining of which lies the chief exercise of our Judgment."
"These Gentlemen must be told, that they take too much upon themselves when they pretend to appoint how far and no farther Men shall go in their Searches, and to set bounds to other Mens Industry; as if they knew the Marks that God has placed to Knowledge..."
"The lasting importance of Horologium Oscillatorium stemmed more from its applied mathematics than from its pure mathematics. The next generation of mathematicians spent a great deal of time trying to find curves that satisfied specific physical properties. What other curve, if any, is a tautochrone? What curve does a hanging chain delineate? What shape does a sail take? What is the curve of fastest descent? These were the test cases for the new mathematical technique Leibniz called 'calculus.'"
"Foremost, Huygens gave us precise time. His clocks were the first timekeepers to be accurate enough to be reliable in scientific experiments."
"This [Horologium Oscillatorium] is the first modern treatise in which a physical problem is idealized by a set of parameters then analyzed mathematically. It is one of the seminal works of applied mathematics."
"One of the masterpieces of seventeenth-century scientific literature was... published in 1673 under the title Horologium Oscillatorium (The Pendulum Clock). Much more than a mere description of a clock... it was in fact a treatise on the accelerated motion of a falling body, as exemplified by the bob of a pendulum clock. ...The culminating proposition is Huygen's proof that a body falling along an inverted cycloid reaches the bottom in a fixed amount of time. In other words, the cycloid is isochronous. The third section... introduces his theory of evolutes... that, among other applications, allows one to find the length of a curve. Using evolutes... he proves mathematically that the cycloidal-shaped plates will force the bob of the pendulum to move along the isochronous cycloidal path. The fourth... section... presents his theory of the compound pendulum, in which the motion of a pendulum with mass distributed along its length is compared with that of an ideal simple pendulum... The last part of the book introduces... a variant of a conical clock in which the pendulum, instead of swinging, rotates about a vertical axis... kept on an isochronous path... by the theory of evolutes."
"Huygens stated everything verbally when he was in his "geometric mode" and used [mathematical] symbols... only when he switched to his "algebraic mode." Facile mathematician that he was, he switched back and forth between the two modes as his needs changed within the same problem..."
"Mons. Huygens found out a Method whereby the Ball of a Pendulum may be always carried along the Arch of a Cycloid."
"The academicians—especially in the person of Picard—were carrying through a revolution in observational astronomy made possible by Huygens' astronomical pendulum clock, the filar micrometer perfected (if not invented) by Auzout, and the application of telescopes to large-scale graduated instruments appropriate for the measure of small angles. It was with this equipment that Picard undertook to measure the distance between two localities approximately on the meridian of Paris, to determine the differences in their latitudes, and to deduce from those results the length of degree of meridian. The eminently successful arc measure, marked by a precision thirty to forty times greater than any previously achieved..."
"Having converted Galileo's discovery of the isochronism of the pendulum into an accurate timepiece in 1656, Huygens had, in 1662, developed a marine variation employing a short pendulum which had subsequently been subjected to tests at sea with the aid of the English. News of the device having come to Colbert... the new director of France's economic life was determined to secure its advantages for his nation. Accordingly, Huygens was lured to Paris in 1665."
"...the power of this line [the cycloid] to measure time."
"Like Hooke, Huygens made fundamental improvements to the clock as a time-keeping mechanism; and Hooke invented the first passable for the same purpose. ...Huygens discovered the rings of Saturn, and the formula for centrifugal force. He did important work in mechanics and optics, and one of his merits was that he made young Leibnitz enthusiastic for these subjects."
"The world is my country, to promote science is my religion."
"What a wonderful and amazing Scheme have we here of the magnificent Vastness of the Universe! So many Suns, so many Earths, and every one of them stock’d with so many Herbs, Trees and Animals, and adorn’d with so many Seas and Mountains! And how must our wonder and admiration be encreased when we consider the prodigious distance and multitude of the Stars?"