Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	line_n	4,117	5	11.1250	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A68283	Foure bookes of offices enabling privat persons for the speciall seruice of all good princes and policies. Made and deuised by Barnabe Barnes.	Barnes, Barnabe, 1569?-1609.	1606 (1606)	STC 1468; ESTC S106957	238,357	234

Geometrie The first intreateth of discreet numbers and quantities very behoofull for a Captaine and so requisite as no merchants or treasurers of Princes can in their places haue more vse of supputation then this required in a martiall Leader It is that art which Pithagoras more then all other Philosophers wondered at so much placing it in the minde of the mightiest God when he fitted himselfe first to the structure of those miraculous and incomprehensible workes in the creation of heauen and earth he did verily beleeue and confirmed men in that his opinion how all creatures were made of numbers shewing many strange things by mysticall and hidden arts which consisted vpon th' accrescence and decrescence of numbers Our fathers thought that onely man all other creatures excepted was capable of number for that he was wisest of all This art consisteth in conference of paritie with imparitie in euen and odde the numbers either equall or vnequall together or equall by separation also superfluous deminished and perfect And so much least I be too tedious seruing for the most present and perfect instruction of battels by addition substraction and diminution of souldiors for seuerall formes how many drawne out of thus many rank●…s in fyle of a square battell of 2000. will by proportion fashion a crescent how many superadded to that battell again wil make a Cilinder euery battell answering to the most aduantage against his enemies battels as they shal be skilfully formed and instructed vpon the sodaine for all aduantages But hereof I spake somewhat in my second Booke referring my selfe with the rest to Livy Caesar Thucydides Polibius Plutarch Euclides Vegetius Frontinus with such others as learnedly can explaine and discourse of these with sound iudgement and better experience more at large Geometrie likewise ordereth and proportioneth formes bodyes and their dimensions by discreet lines out of lines the superficies or outward faces and from thē these bodies which are called cubes This art by measuring of heauen and earth leaueth nothing vnsearched which humane reason can apprehend in that facultie to this art are referred all linearie demonstrations the coherence or knitting together of elements whether trianguler quadranguler multanguler or aspiring in piramidicall fashion Hence was it that the Egyptians did reuerence as diuine idols the formes of Cubes and Circles in their superstitious ceremonies performed to those profane gods Osiris and Isis. Moreouer Plato caused this inscription to be set vpon the gate of that Academie where he professed that No man ignorant of Geometrie should enter therein And in all the best and ancientest Schooles of the Greekes and Romanes the nobler sort of youth and children after their first milke weare studiously taught in the science of Arithmeticke and Geometrie by which the learned fathers of former ages did illustrate and giue light to all most difficult obscurities and hidden reasons of causes for by considering how this art doth from a point or centre being indivisible extend and draw foorth lines circumferent bowing iacent perpendiculer oblique and equall in angles narrow large trilaterall quadrilaterall multilaterall and in them equilaterall right angles blunt angles sharpe angles and such as extend more on one side then from another with Rhombus Rhomboydes Piramides Spheres and other strange formes in diuers analogies They did finde how needfully this art served in fit proportion of harmonie for vniting fashioning and ordering of all sorts of battels squares squadrons wings cornets and such like as in rearing deuising working measuring digging and fashioning bulwarkes engines vnderminings trenches ditches likewise for the raysing leuelling and squaring of rampiers rauelings casa●…ates and other necessarie plats and defences against enemies with all sort of Instruments and engines appertaining warre which are infinite being so behoofull for the knowledge of a Generall as without it I doubt whether warre may bee called an art for it equalleth such members as are like in proportion harmonious consent with members vnlike making a concord out of discordes But least I search too faire into the concealed treasure of hidden Phylosophy wherein I might either vnhappily showe some token of arrogancie or rather of hierogliphicall mysteries and other rare apprehensions of sage Phylosophers exceeding the precincts of my weake reason capacitie wronging some sciences of which I cannot skill here will I set vp my rest vnder pardon onely this which many wise and will experienced souldiors and others of sound wisedome approue it should be required in a Generall to be so studious in these professions that by much practise and paines he may deuise new formes of embattailing fighting eskairmouching strange kindes of curious retiring and vnexpected meanes of distressing his enemies by noble stratagems newely stamped neuer heard of before And albeit according to Clitarchus audaciousnesse is an excesse beyond the measure of humane strength and reason yet he which prudently respecteth his owne ende will vpon honorable grounds voluntarily pursue perils as I said before If therefore the Generall would haue his souldiors ambitious of honour and victorie he must worke out their resolution and with vertuous example in himselfe apparant encourage their actions For if he will industriously consider and declare his true force which is in most high reputation fixed he shall finde it very possible for him to infuse power sufficient to his soldiers for performance of any reasonable action in their charge working first confidence in them which onely proceedeth from good militarie discipline let him therfore with great grace and wisedome endeuour to make his name and honor reuerende and precious throughout his whole armies which he shall purchase as I say before by mingling of charitie with discipline as in taking care that he surbate not his footemen with long and grieuous hard marches forsomuch as warriors of best iudgement and experience haue alwayes esteemed them more seruiceable then the horse which hath beene found aswell amongst the battels of the Greekes and Romanes as in ours of these later times in Christendome for vpon vrgent causes it may bee that by fast troupes and marches or with long fight and escairmouches they may become wearie whereupon it will be most conuenient to relieue them with the horses of those Caualliers that ride the whiles they for their more ease in contrary refresh themselues with marching on foote in their places interchangeably as the Romanes Ad lacum regi●…lum did in their warres against the Latines and by that means attayned victorie for the footmen are apt and readie for any straitor sinuous place into which their horses cannot haue passage they can also stretch forth and straiten their ranckes which vpon a necessitie they can breake againe reducing themselues into forme and order forth with as place and space shall serue them whereas horsemen being once broken remaine long confused And as there is a difference in comparison of men valiant and well disciplined with weake and faint hearted souldiers so likewise fareth●… amongst horses some full of stomach