Selected quad for the lemma: lord_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
lord_n	earl_n	honourable_a	right_n	13,405	5	6.9102	4	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A44014	Six lessons to the professors of the mathematiques one of geometry the other of astronomy, in the chaires set up by the noble and learned Sir Henry Savile in the University of Oxford.	Hobbes, Thomas, 1588-1679.	1656 (1656)	Wing H2260; ESTC R22309	102,047	75

SIX LESSONS To the PROFESSORS of the MATHEMATIQUES ONE OF GEOMETRY THE OTHER OF ASTRONOMY In the Chaires set up by the Noble and Learned Sir HENRY SAVILE in the University of Oxford LONDON Printed by J. M. for Andrew Crook at the Green-Dragon in Pauls Church-yard To the Right Honourable Henry Lord Pierrepont Viscount Newarke Earle of Kingstone and Marquis of Dorchester My most Noble Lord NOt knowing on my own part any cause of the favour your Lordship has been pleased to express towards me unless it be the Principles Method and Manners you have observed and approved in my Writings and seeing these have all been very much reprehended by men to whom the name of Publique Professors hath procured reputation in the University of Oxford I thought it would be a forfeiture of your Lordships good opinion not to justifie my self in publique also against them Which whether I have sufficiently performed or not in the six following Lessons addressed to the same Professors I humbly pray your Lordship to consider The volume it self is too small to be offered to you as a Present but to be brought before you as a Controversie it is perhaps the better for being short Of Arts some are demonstrable others indemonstrable and demonstrable are those the construction of the Subject whereof is in the power of the Artist himself who in his demonstration does no more but deduce the Consequences of his own operation The reason whereof is this that the Science of every Subject is derived from a praecognition of the Causes Generation and Construction of the same and consequently where the Causes are known there is place for Demonstration but not where the Causes are to seek for Geometry therefore is demonstrable for the Lines and Figures from which we reason are drawn and described by our selves and Civill Philosophy is 〈…〉 we make the Common-wealth our selves But because of Naturall Bodies we know not the Construction but seek it from the Effects there lyes no demonstration of what the Causes be we seek for but onely of what they may be And where there is place for Demonstration if the first Principles that is to say the Definitions contain not the Generation of the Subject there can be nothing demonstrated as it ought to be And this in the three first Definitions of Euclide sufficiently appeareth For seeing he maketh not nor could make any use of them in his Demonstrations they ought not to be numbered among the Principles of Geometry And Sextus Empiricis maketh use of them misunderstood yet so understood as the said Professors understand them to the overthrow of that so much renouned Evidence of Geometry In that part therefore of my Book where I treat of Geometry I thought it necessary in my Definitions to express those Motions by which Lines Superficies Solids and Figures were drawn and described little expecting that any Professor of Geometry should finde fault therewith but on the contrary supposing I might thereby not only avoid the Cavils of the Scepticks but also demonstrate divers Propositions which on other Principles are indemonstrable And truly if you shall finde those my Principles of Motion made good you shall find also that I have added something to that which was formerly extant in Geometry For first from the seventh Chapter of my Book de Corpere to the thirteenth I have rectified and explained the Principles of the Science id est I have done that business for which Doctor Wallis receives the wages In the seventh I have exhibited and demonstrated the proportion of the Parabola and Parabolasters to the Parallelograms of the same height and base which though some of the propositions were extant without their demonstration were never before demonstrated nor are by any other then this method demonstrable In the eighteenth as it is now in English I have demonstrated the for any thing I yet perceive Equation between the crooked line of a Parabola or any Parabolaster and a straight line In the twenty-third I have exhibited the Center of Gravity of any Sector of a Sphere Lastly the twenty-fourth which is of the nature of Refractiand Reflexion is almost all new But your Lordship will ask me what I have done in the twentieth about the Quadrature of the Circle Truely my Lord not much more then before I have let stand there that which I did before condemn not that I think it exact but partly because the Division of Angles may be more exactly performed by it then by any organicall way whatsoever and I have attempted the same by another Method which seemeth to me very naturall but of calculation difficult and slippery I call them only Aggressions retaining nevertheless the formall manner of Assertion used in Demonstration For I dare not use such a doubtfull word as Videtur because the Professors are presently ready to oppose me with a Videtur quod non Nor am I willing to leave those Aggressions out but rather to try if it may be made pass for lawfull in spight of them that seek honour not from their own performances but from other mens failings amongst many difficult undertakings carryed through at once to leave one and the greatest for a time behind and partly because the method is such as may hereafter give further light to the finding out of the exact truth But the Principles of the Professors that reprehend these of mine are some of them so void of sense that a man at the first hearing whether Geometrician or not Geometrician must abhor them As for example 1. That two equall Proportions are not double to one of the same Proportions 2. That a Proportion is double triple c. of a Number but not of a Proportion 3. That the same Body without adding to it or taking from it is sometimes Greater and sometimes less 4. That a Quantity may grow less and less Eternally so as at last to be equall to another Quantity or which is all one that there is a Last in Eternity 5. That the nature of an Angle consisteth in that which lyes between the lines that comprehend the Angle in the very point of their concourse that is to say An Angle is the Superficies which lyes between the two Points which touch or as they understand a Point the Superficies that lyes between the two Nothings which touch 6. That the Quo●ient is the Proportion of the Division to the Dividend Upon these and some such other Principles is grounded all that Doctor Wallis has said not onely in his Elenchus of my Geometry but also in his Treatises of the Angle of Contact and in his Arithmetica Infinitorum which two last I have Fere in two or three leaves wholly and cleerly confuted And I verily believe that since the beginning of the world there has not been nor ever shall be so much absurdity written in Geometry as is to be found in those books of his with which there is so much presumption joyned that an 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉