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duty_n according_a heart_n lord_n 1,002 5 3.6719 3 false
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A95751 The trissotetras: or, a most exquisite table for resolving all manner of triangles, whether plaine or sphericall, rectangular or obliquangular, with greater facility, then ever hitherto hath been practised: most necessary for all such as would attaine to the exact knowledge of fortification, dyaling, navigation, surveying, architecture, the art of shadowing, taking of heights, and distances, the use of both the globes, perspective, the skill of making the maps, the theory of the planets, the calculating of their motions, and of all other astronomicall computations whatsoever. Now lately invented, and perfected, explained, commented on, and with all possible brevity, and perspicuity, in the hiddest, and most re-searched mysteries, from the very first grounds of the science it selfe, proved, and convincingly demonstrated. / By Sir Thomas Urquhart of Cromartie Knight. Published for the benefit of those that are mathematically affected. Urquhart, Thomas, Sir, 1611-1660. 1645 (1645) Wing U140; Thomason E273_9; ESTC R212170 85,776 129

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THE TRISSOTETRAS OR A MOST EXQUISITE TABLE FOR Resolving all manner of Triangles whether Plaine or Sphericall Rectangular or Obliquangular with greater facility then ever hitherto hath been practised Most necessary for all such as would attaine to the exact knowledge of Fortification Dyaling Navigation Surveying Architecture the Art of Shadowing taking of Heights and Distances the use of both the Globes Perspective the skill of making of Maps the Theory of the Planets the calculating of their motions and of all other Astronomicall computations whatsoever Now lately invented and perfected explained commented on and with all possible brevity and perspicuity in the hiddest and most re-searched mysteries from the very first grounds of the Science it selfe proved and convincingly demonstrated By Sir THOMAS URQUHART of Cromartie Knight Published for the benefit of those that are Mathematically affected LONDON Printed by Iames Young 1645. TO THE RIGHT HONOVRABLE And most noble LADY My deare and loving Mother the Lady DOWAGER of Cromartie MADAM FILIALL duty being the more binding in me that I doe owe it to the best of Mothers if in the discharge thereof I observe not the usuall manner of other sonnes I am the lesse to blame that their obligation is not so great as mine Therefore in that doe presume to imprint your Ladiships name in the Frontispiece of this Book and proffer unto you a Dedication of that which is beyond the capacity of other Ladies my boldnesse therein is the more excusable that in your person the most vertuous Woman in the world is intreated to Patronize that which by the learnedest men may happily be perused I am confident Madam that your gracious acceptance of this Present is the more easily obtainable in that it is a grand-child of your own whom I thus make tender of to be sheltered under the favor of your protection and that unto your Ladiship it will not be the more unwelcome for proceeding from the braines of him whose body is not more yours by generation then by a most equitable purchase are the faculties of his mind the dominion which over my better halfe you by your goodnesse have acquired being in regard of my obedience no lesse voluntary then that of the other is for procreation naturall Thus Madam unto you doe I totally belong but so as that those exteriour parts of mine which by birth are from your Ladiship derived cannot be more fortunate in this their subjection notwithstanding the egregious advantages of bloud and consanguinity thereby to them accruing then my selfe am happy as from my heart I doe acknowledge it in the just right your Ladiship hath to the eternall possession of the never-dying powers of my soule For though Soveraignty excepted there be none in this Island more honourably descended then is your Ladiship nor whose progenitors these many ages past have been on either side of a more Noble extraction Yet laying apart Nobility beauty wealth parentage and friends which together with many other gifts of fortune have hitherto served to adorn your Ladiship beyond others of your sex who for all these have been deservedly renowned and in some measure not esteeming that properly to be yours the receiving whereof did not altogether depend upon your owne election it is the treasure of those excellent graces wherewith inwardly you are enriched that in praising of your Ladiship is most to be pitch'd upon and for the which you are most highly to be commended seeing by the means of them you from your tenderest yeeres upwards untill this time in the state of both Virginity and Matrimony have so constantly and indefatigably proceeded in the course of vertue with such alacrity fixed your gallant thoughts on the sweetnesse thereof and thereunto so firmly and cheerefully devoted all your words and actions as if righteousnesse in your Ladiship had been an inbred quality and that in your Will there had beene no aptitude of declining from the way of reason This much is sufficiently well known to those that have at any time enjoyed the honour of your Ladiships conversation by whose most unpartiall reports the Splendour of your reputation is both in this and foraine Nations accounted precious in the minds even of those that have never seen you But in so much more especially doe the most judicious of either sex admire the rare and sublime endowments wherewith your Ladiship is qualified that as a patterne of perfection worthy to be universally followed other Ladies of what dignity soever are truly by them esteemed of the choiser merit the nearer they draw to the Paragon proposed and resemble your Ladiship for that by vertue of your beloved society your neighbouring Countesses and other greater Dames of your kindred and acquaintance become the more illustrious in your imitation amidst whom as Cynthia amongst the obscurer Planets your Ladiship shines and darteth the Angelick rayes of your matchlesse example on the spirits of those who by their good Genius have been brought into your favourable presence to be enlightned by them Now Madam lest by insisting any longer upon this straine I should seeme to offend that modesty and humility which without derogating from your heroick vertues are seated in a considerable place of your soule I will here in all submission most humbly take my leave of your Ladiship and beseech Almighty God that it may please his Divine Majesty so to blesse your Ladiship with continuance of dayes that the sonnes of those whom I have not as yet begot may attaine to the happinesse of presenting unto your Ladiship a brain-babe of more sufficiencie and consequence and that your Ladiship may live with as much health and prosperity to accept thereof and cherish it then as I hope you doe now at your vouchsafing to receive this which though disproportionable both to your Ladiships high deserts and to that fervencie of willingnesse in me sometime to make offer of what is of better worth and more sutable to the grandour of your acceptance in all sincerity of heart confiding in that candour and ingenuity wherby your Ladiship is accustomed to value gifts according to the intention of the giver and in all duty and lowlinesse of mind together with my selfe in whole and all my best endeavours I tender unto your Ladiship as becometh Madam Your Ladiships most affectionate Sonne and humble servant THOMAS URQUHART To the Reader TO write of Trigonometry and not make mention of the illustrious Lord Neper of Marchiston the inventer of Logarithms were to be unmindfull of him that is our daily Benefactor these artificiall numbers by him first excogitated and perfected being of such incomparable use that by them we may operate more in one day and with lesse danger of errour then can be done without them in the space of a whole week A secret which would have beene so precious to Antiquity that Pythagoras all the seven wise men of Greece Archimedes Socrates Plato Euclid and Aristotle had if coaevals joyntly adored him and unanimously concurred to