i. 181-3, 185, 188, 191, 193-8:- in con- centric circles, arcs of the same angle are to one another as the circumferences. i. 185:-of straight lines from the centre of a circle to the tangent. i. 188.
the circumferences of circles are to one another as their diameters. i. 191:-the subtenses of equal angles in different circles, are to one another as the arcs they subtend. i. 193: what determines the bending of a straight line into the circumference of a circle. i. 195:-the curvation of the lesser circle, is greater than that of the greater. i. 197.
the angle made by a straight line and the arc of a circle, is equal to the angle made by the same straight line and the tangent to the point of concurrence. i. 198: the way of a body moved in a circle, is compounded of innumerable straight lines, each less than any that can be given. i. 216.
the space within the radius and a spiral, is a third part of the whole circle. i. 263: -the radii of a circle are so many sec- tors. ibid.
the figure made by mean proportionals continually taken between the radius and that part of the radius within the spiral, will be equal to half of the circle. i. 264:-in comparing the arc of a circle with a straight line, many and great geometricians from the most ancient time have exercised their wit. i. 287:- their pains vilified by envy. ibid. :-the comparison has been brought within how much of the truth. i. 288:—the im- provement, if the benefit be considered, little or none, why. ibid. :-the real be- nefit to follow, consists in enabling us to divide an angle in any proportion. ibid.: -the comparison not to be done by arithmetic. ibid.
to find the dimensions of the circle by lines. i. 289:-to find the same by argu- ments drawn from the nature of the curvity of the circle. i. 294:-to find the same by another method. i. 301-7:-the curvity of the arc of a circle is every where uniform. i. 294-5 :-the perimeter is a uniform line. i. 295:-the flexion of the larger arc is greater than that of the smaller arc of the same circle, in pro- portion to the arcs themselves. ibid. :- the curvity of equal arcs in unequal cir- cles, is in reciprocal proportion to that of their radii. i. 295.
to find a straight line equal to any given arc, not greater than the arc of a quad- rant. i. 298-9:—if the arc of a quadrant, the radius, and a third line be continual
proportionals, then the arc of half the quadrant, half the chord of the quadrant, and the third line, will also be continual proportionals. i. 301:-the radius, the arc of the half-quadrant, the sine of 45 degrees, and half the radius, are propor- tionals. ibid.
the squaring of a given sector of a circle, whence to be deduced. i. 307. CIRCUMCISION-the sacrament of, instituted by God. iii. 398, 483. ii. 228:—it and the Passover, the sacraments of the Old Tes- tament. iii. 406-was omitted in the wilderness, and restored on coming into the land of promise. iii. 483. ii. 263. what it was under the Old Covenant, that baptism is under the New. ii. 263:-served only for a memorial. ibid. CIRCUMSCRIPTIVE ET DEFINITIVE-terms signifying nothing, and used in Latin only that the vanity of them may be concealed. iii. 675-6. iv. 296-7. CITATION
not esteemed an ornament amongst the ancients. iii. 712:-is a cus- tom of late time. iii. 711-12.
DE CIVE-nothing in it contrary to the word of God, or good manners, or to the public tranquillity.iii.713:-does not med- dle with the civil laws of any particular nation whatsoever. ii. ded. :-describes the duties of men, first as men, next as Christians. ii. pref.:-takes its beginning from the matter of civil government, and proceeds thence to its generation and form. ibid.the part called Liberty, contains what. ibid. -the part Dominion, what. ibid.: the part Religion, what. ibid. :- the reasons which moved the writing of De Cive. ibid. :-the rules to himself by the writer, to leave the determination of the justice of all single actions to the law, not to dispute what are the laws of any government in particular, nor to ap- pear to think that less obedience is due in an aristocracy or democracy than in a monarchy. ibid. :-to dispute no doctrines of theologians, save those which deny the obedience of subjects and shake the foundations of government. ibid. :- privately dispersed amongst the author's friends before being published. ibid. :- the points most bitterly excepted against, that the civil power was made too large, liberty of conscience taken away, and kings set above the laws. ibid. :-these exceptions by whom taken. ibid. :-these knots thereupon tied by the author some- what faster. ibid. :-the annotations added for the sake of whom. ibid. :-delivers so much only of the law of nature as relates to peace. ii. 49:-in it is explained the
whole law, not the whole doctrine of Christ. ii. 62.
Bramhall's Objections to it. iv. 229.
a short sum of it, done in French, with what title. vii. 333:-by Sorberius. ibid.: -its testimony from Gassendus and Mersennus. ibid. :-the doctrine gene- rally received by all the clergy, except whom. ibid. CIVIL-the civil authority is more visible, and stands in the clearer light of natural reason than the ghostly. iii. 317. CIVITAS signifies a commonwealth. iii. 158, 250:-is constituted how. iii. 158. CLAVIUS-takes what for the arc of a spherical angle. vii. 162 :-denies the composition of ratio to be a composition of parts to make a total. vii. 235, 244. CLEMENT-the first Bishop of Rome after St. Peter. iii. 375, 522:-collected the Canons of the Apostles. ibid. ibid. CLERGY-in England, France, and Hol- land, brought into a reputation of igno- rance and fraud, how. iii. 108:-the dis- tinction of clergy and laity, not in use in the time of Clemens the successor to Peter. iii. 523:-arose whence. iii. 608. the name clergy, whence. iii. 533:-sig- nifies what. iii. 608.
the secular clergy, why exempt from the tributes and tribunals of every Christian state. iii. 609.
marriage denied to the clergy, why. iii.
often cherish those that think it lawful to raise war against and kill their go- vernors. iii. 684:-the Roman and the Presbyterian clergy, the authors of what darkness in religion. iii. 691:-not the Roman clergy only pretends to be the kingdom of God in this world, and have a power distinct from that of the civil state. iii. 700.
a clergy is not essential to a common- wealth. iv. 433:-their office, in respect of the supreme civil power, is not ina- gisterial but ministerial. v. 454.
benefit of clergy, a relic of the old usurped papal privilege. vi. 86.
the clergy of England thought the pull- ing down of the pope was the setting up of them in his place. vi. 234:-that their spiritual power depended not on the king, but on Christ. ibid.:-the clergy still sensible to every violence done to the papal power. vii. 352. CLERKENWELL-report that the Jesuits were to have a convent there. vi. 240. CLOUD-a sign of rain to follow. i. 14:- not the clouds, but men from the clouds, say it shall rain. i. 57.
the generation of, shews that the sun has greater power of elevating waters than the moon. i. 440:-how formed by the fermentation of the air. i. 450, 468, 482. vii. 40, 113.
become congealed above. i. 456. vii. 47: -generate lightening, how. i. 457:-the etherial substance of air enclosed in clouds, is squeezed out by them. i. 470, 481. vii. 48-how they may become frozen. i. 473, 481. vii. 47, 126:-how they then cause thunder and lightening. i. 481. vii. 47, 49-50, 126.
clouds both ascend and descend again owing to the simple motion of the sun. i. 482.
a frozen cloud the cause of the eclipse of the moon observed by Mostlin. i. 483: -and of two suns seen at once. ibid. vii. 50: why not of comets. i. 483-4.
the cloud that went before the army of Israel to the Red Sea. iii. 391:-was an angel of God. ibid.
CLUB-in matter of government, when nothing else is turned up clubs are trumps. vi. 122.
COAL-MINES-matter of a nature between air and water, found in. i. 524 :—its ef- fects and possible cause. i. 524-6. COCAGNE-the land of. vi. 20. CŒLUM EMPYRÆUM-No mention of in Scripture, nor ground in reason for. iii. 441, 455. iv. 347. COKE-Edward, his doctrine of the heir to the Crown attainted of high treason. iii. 132-3: his definition of the law, an ar- tificial perfection of reason etc. iii. 256. vi. 4, 11:-his doctrine of the loss of goods and chattels by a man accused of felony and flying for fear. iii. 265. vi. 137:-has nowhere distinguished between jus and lex. vi. 30:-the jurisdiction of the King's Bench. vi. 40:-his six causes for the increase of suits. vi. 44:-his dictum, that judicature belongs to the judges. vi. 51-2:-has not distinguished between transferring and committing power. vi. 52: -endeavours throughout his Institutes to diminish the king's authority. vi. 62: -his definition of equity. vi. 68:- saith a traitor is not the king's enemy, why. vi. 73: does not well distinguish when there are two divers names for one and the same thing. vi. 75:—his deriva- tion of the word felony. vi. 80:-is mis- taken as to unintentional homicide in doing an unlawful act, being murder. vi. 86-7-presumes too much in appropri- ating all judicature to the common-law- yers, why. vi. 90:-his definition of theft, ridiculous. vi. 92:-his definition of bur-
glary. vi. 94 :-of night. ibid. :—of burn- ing. vi. 95:-his five considerations of heresy. vi. 96:-his explanation of the law whereby heretics were burnt in the time of Elizabeth and James I. vi. 106: -says equity and common-law are all one. vi. 113:—the summary of his deficiencies. vi. 119-21-his distinction of judgments. vi. 125:-omits the judgment against heresy, why. vi. 128.
did not understand his books of common- law. vi. 129:-in no author of the law of England weaker reasoning than in his Institutes. vi. 144:-contain no better things than other authors that treat of law as a science. ibid. :-his origin of Parliaments. vi. 157.
COLD-by making the air more pressing, helpeth the action of the stars upon the eyes. i. 406:-the endeavour inwards of the spirits and fluid parts produces in us cold. i. 466: the cause of cold, how to be found. i. 467.
why greater near the poles of the earth than further off. i. 471-why less in rainy than in clear weather. i. 473.
the cause of, what. vii. 120-1:-is not privation of heat. ibid. :-the cause of the great cold about the poles of the ecliptic. vii. 121:-is greater than about the poles of the equator, why. vii. 122. COLONY-colonies are the children of the commonwealth.iii. 239:-are independent commonwealths, when. iii. 239 :—or provinces and parts of their metropolis. iii. 240:-their rights depend on their letters. ibid.
the land of new colonies, how it should be dealt with. iii. 335. COLOUR cannot be remembered without present patterns. i. 13:-is nothing but perturbed light. i. 404, 459. iv. 7, 37:- all colours being a mixture of black and white, whence they proceed. i. 465. colour and shape is all the knowledge we have of bodies by the sense of sight. iv. 3:-are supposed to be the very qua- lities of the objects themselves, why. iv. 4:-must be the same thing with sight, why. iv. 7:-their difference, what. ibid. the pleasure of the eye consists in equa- lity of colour. iv. 36.
COMET-why the cause of comets cannot be frozen clouds. i. 483-4:-the disqui- sition of their cause left to others. i. 484. vii. 105-6:-nothing yet published worth considering. ibid.
COMMAND-Saith do this, without expect- ing other reason than the will of him that says it. iii. 241:-he that commands, pretends his own benefit. ibid. :-for the
execution of sour labour, command re- quires to be sweetened by the tune and phrase of counsel. iii. 244.
consists in the manifestation of the will of him that commands. iii. 257:-is the right of commanding so often as nature allows it possible. ii. 104 :-is law, when. iv. 75, 205: the reason of our actions is in the command, when. iv. 205. the command of him whose command is a law in one thing, is law in every- thing. iv. 222.
COMMANDMENTS-the first violated by sub- jects desiring change of government. iii. 327:-the second, by the worship of po- pular men. ibid. :-the third, by speaking ill of, and disputing the will of the sove- reign. iii. 328.
the first table of, contains the sum of God's absolute power, both as God and as king of the Jews by pact. iii. 328-9,
the fifth, accords with the duty of sove- reigns in instructing children. iii. 329:
-the sixth to the ninth, as to the instruc- tion of the people to abstain from doing injury. iii. 330:—the tenth. ibid.
the second table reduced to the com- mandment of mutual charity. iii. 330, 513: the first table, to the love of God. ibid.
were delivered by God to Moses. iii. 513. ii. 234:-were made laws by God him- self. iii. 514-all the second table laws of nature. ibid. :-to all people. ibid. :- the first, peculiar to the Israelites. ibid. nothing in the Ark but the Ten Com- mandments. iii. 515.
what are the commandments given us by God to be obeyed. iii. 586. COMMERCE-indifference of, is a law of nature. iv. 101.
COMMISSION-the High. iv. 404-6. vi. 104-5: -of Array. vi. 312. COMMODI-whom the Latins so call. iii. 139. COMMODITY-the greatest commodities of mankind, what. Ĭ. 7.
commodities of the laud and sea, foreign and native. iii. 232:-superfluous, are disposed of, how. iii. 233. COMMODUS-affected mastery in the art of a gladiator, why. iv. 33. COMMON-of the use of things in common, one of the laws of nature. iii. 142. ii. 40: -from it arises contention and all kind of calamities. ii. ded. COMMONS-house of, men by command of the king sent up by the people to carry their petitions, and give him, if he per- mitted it, their advice. iii. 173. vi. 261 : -its orders resemble the decrees of the
common people of Rome. iii. 270 :-is so long as they sit with authority and right, a person civil. iv. 146:-its origin. vi. 160,
on the king coming to seize the five members, adjourns into the city. vi. 263: -returns by water in triumph. ibid. declares that whatever the House of Commons enacts is law, whether the Lords concur or no. vi. 353.
never was the representative of the whole nation, but of the Commons only. vi. 389.
COMMONWEALTH-its properties how to be known. i. 11:--the causes of, and neces- sity of constituting, in what way arrived at. i. 73-4.
the great LEVIATHAN, in Latin CIVITAS. iii. introd.:-is an artificial man. ibid. he that is to govern one, must read in himself mankind. iii. introd.
the rule of good and evil, in a common- wealth, to be taken from the person that represents it. iii. 41.
is the greatest of human powers. iii. 74: -its person is the fountain of honour. iii. 79:-the favour of, is power. ibid. the founders of all commonwealths, cul- tivators of what religion. iii. 99:-the peace of the Gentile commonwealths aimed at and maintained by institutions of religion. iii. 103-4:-fear of the power of men not sufficient, before civil society, to keep men to their promises. iii. 129. before commonwealth, no coercive power. iii. 131-no property. ibid. 233:-no unjust. ibid.
in commonwealths, men may remit to others their debts, but not robberies or other violences, why. iii. 137. ii. 32 n. the final cause and end of its institution, self-conservation. iii. 153. iv. 161. brought into distraction and civil war by men thinking themselves wiser and bet- ter able to govern the public than the rest. iii. 156.
instituted by the covenant of every man with every man in what words. iii. 158, 159, 203. ii. 68, 89, 91, 99.
the definition of. iii. 158. ii. 69, 130. iv. 124.
is by institution, and by acquisition. iii. 159. ii. 70:—in the institution of, the sovereign is declared by the major part of voices consenting. iii. 162:—they that enter not into the congregation for the institution of the commonwealth, or whose consent is not asked, what is their condition. iii. 163. ii. 74, 143.
the difference of, consists in the differ- ence of the sovereign:-iii. 171. ii. 93:
-of commonwealths, but three kinds. iii. 171, 177 -monarchy, democracy, and aristocracy. ibid. ibid. ii. 93:-the difference in, consists not in the differ- ence of power, but of aptitude for its end, the peace and security of the peo- ple. iii. 173.
every commonwealth the sovereignty whereof is in an assembly, is as if it were in a child. iii. 177:-has need of custodes libertatis. ibid. :- - oftener than infant kings, deprived of its power by its pro-
all forms of commonwealth, apparently different, reducible to the above three forms. iii. 178-without the power in some one of electing the successor of an elective king, the commonwealth dieth with him. iii. 178.
in instituting commonwealth, the same order that was taken for an artificial man, must be also taken for an artificial eternity of life. iii. 180.
commonwealth by acquisition, is acquired by force. iii. 185:-in what way. ibid. : -commonwealths erected for the most part by fathers, not mothers of families. iii. 187.
no great inconvenience in it but what proceeds from the subjects' disobedience and breach of the covenants that gave it being. iii. 195:-in commonwealths long- lived, the sovereign power was undis- puted by the subjects. iii. 195:-the skill of making and maintaining consists in certain rules, not in practice. iii. 195-6. commonwealths are amongst themselves in the same state in which men are in a state of nature. iii. 201. ii. pref. ii. 6, n. 141, 294:-live in the condition of a per- petual war, upon the confines of battle, their frontiers armed, and cannons plant- ed etc. ibid. ibid. ibid. ibid. :—whether the commonwealth be monarchical or popular, the freedom in it is still the same. iii. 202.
when the defence of the commonwealth requires it, every man obliged to bear arms. iii. 205.
the sovereignty the soul of the common- wealth. iii. 208, 316, 321, 577. ii. 89:- no representative in any commonwealth but the sovereign, or so far as he shall give leave. iii. 211.
the nutrition of a commonwealth consists in what. iii. 232:-the territory of no commonwealth produces all things need- ful for the maintenance and motion of the whole body. iii. 233 :-commonwealths without territory more than enough for habitation, have maintained and en-
creased their power, how. ibid. :-may retain a portion in the distribution of the land. iii. 235:-but the same in vain. iii. 236:-tends to the dissolution of the commonwealth, why. ibid.
commonwealths can endure no diet. iii. 236: the expenses of, limited not by their own appetites, but by those of their neighbours. ibid.
the knowledge required for the business of the commonwealth, is what. iii. 246. no great popular commonwealth ever kept up, but by what means. iii. 250:- never by the open consultations of the assembly. ibid. :-very little common- wealths can last no longer than the jea- lousy of their potent neighbours. iii. 250. the commonwealth alone prescribes the rules called laws. iii. 252.
is no person. iii. 252:-can act only by the representative, that is, the sovereign. ibid. the two arms of the common- wealth said by the lawyers to be force and justice. iii. 256:—one in the king, the other in parliament. ibid. :-is in its representative but one person. iii. 256: -the will of the person of the common- wealth always supposed consonant to equity and reason. iii. 259.
the memory of the first constitution of the commonwealth wears out of men's minds. iii. 260.
in no part of the world are men per- mitted to pretend other commandments of God, than what are declared for such by the commonwealth. iii. 275:- - in everything not regulated by the com- monwealth, it is equity that a man enjoy his liberty. ibid.
of the first movers of disturbance in a commonwealth, few live long enough to see their new designs established. iii. 284 - would be dissolved, if private men had the liberty to break the law upon his own dream or vision. iii. 287: -facts against the security of the com- monwealth, greater crimes than against private persons. iii. 293-4.
its right of punishing, not grounded on the gift of the subject. iii. 297:-by the institution of commonwealth, men are not bound to serve it without reward, unless the service cannot otherwise be done. iii. 306.
might, if men had the reason they pre- tend to, be secured from perishing by internal disease. iii. 308:-the fault of their dissolution lies in the makers. ibid. 705-6-amongst the infirmities of a commonwealth is one resembling that of the natural body proceeding from defec-
tuous procreation. iii. 309:-the disease of the commonwealth contracted from the abandonment of the necessary powers of sovereignty, resembles that of children gotten by diseased parents, subject to untimely death, or breaking out into biles and scabs. ibid. :-diseases of the com- monwealth proceeding from the poison of seditious doctrine. iii. 310-13. iv. 200. in commonwealths, the measure of good and evil actions is the civil law. iii. 310: -and the judge, the person of the com- monwealth. iii. 311.
to divide the commonwealth, is to dis- solve it. iii. 313.
men disposed from the example of dif- ferent government in neighbouring com- monwealths to alteration in the form of their own. iii. 314.
the civil power, and the power of the commonwealth, the same thing. iii. 316: -supremacy and the power of making canons, implieth a commonwealth. ibid.:
when the civil and the ghostly power oppose each other, the commonwealth is in danger of dissolution. iii. 317:-also from the division of the three powers, of levying money, of conduct and com- mand, and of making laws. iii. 318. mixed monarchy, a division of the com- monwealth into three factions. iii. 318: -a disease of the commonwealth, re- sembling a man with another man grow- ing out of his side. iii. 319:-the diffi- culty of raising money, a disease in the commonwealth. ibid. :-ariseth, whence. ibid. :-resembles the distemper of ague. ibid. :-its disease of pleurisy, what. iii. 320: the popularity of its potent sub- jects, like to the effects of witchcraft. ibid: the immoderate greatness of a town, an infirmity of the commonwealth. iii. 321: the great number of corpor- ations, like worms in the entrails of the natural man. ibid.—the liberty of disputing against absolute power, in- fests the commonwealth like ascaride in the body natural. ibid. :-also, the appe- tite of enlarging dominion. ibid.
the commonwealth is dissolved, when. iii. 321.
that whatever a man may acquire by force or fraud is his, not in state of na- ture only, but also in a commonwealth, maintained by some. iii. 324:-common- wealths first constituted, imperfect and apt to relapse into disorder. ibid. :-but may, by industrious meditation, be made except by external violence everlasting. ibid.: they that go about by disobedi- ence to reform the commonwealth, shall
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