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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A20103 Grammelogia, or, The mathematicall ring extracted from the logarythmes, and projected circular : now published in th[e] inlargement thereof unto any magnitude fit for use, shewing any reasonable capacity that hath not arithmeticke, how to resolve and worke, all ordinary operations of arithmeticke : and those that are most difficult with greatest facilitie, the extract on of rootes, the valuation of leases, &c. the measuring of plaines and solids, with the resolution of plaine and sphericall triangles applied to the practicall parts of geometrie, horo[l]ogographic, geographie, fortification, navigation, astronomie, &c, and that onely by an ocular inspection, and a circular motion / invented an[d] first published, by R. Delamain, teacher, and student of the mathematicks. Delamain, Richard, fl. 1631. 1630 (1630) STC 6543; ESTC S763 85,409 123

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delicta nostra Talpae ad aliena serpentes sumus It was once Constantines speech That hee would throw his mantle over his brothers nakednesse rather then lay it open What shall wee thinke meanewhile of those who would faine discover nakednesse where they can finde none what should bee the plot except it bee to feede the bosome Wolfe of envie and malice which at last will gnaw out their owne bowels doe they envie because God gives to one man one gift to another man another would they have all and others none If the whole body were an eye where were the hearing if an eare where were the smelling so were all contracted into one what would become of the rest No rather let every one be thankefull unto God for that hee hath then envious for that hee hath not God hath store enough for all let us not envie one another if one pull downe the house as fast as another builds what will become of the building rather let al● build and then a goodly structure will be sooner finished Quod Sapimus conjungat Amor quod vivimus uno Conspiret studio Nil dissociabile firmum Nature it selfe peacheth us to make much of union without which all falls to ruine See we how the dayes part equal● stakes with the nights and if one have a greater share now it allowes the other it afterwards The Sun not all doth claime but Moone and Starres have shares And greater lights neede not envie the lesser theirs The Land not all doth keepe but gives the Sea its bounds Hills have their tops and let the valleyes have their rounds The sweet combination of Elements and inanimat bodies may teach us concord Fire and water earth and ayre how soever opposite in themselves in both qualities yet in mixtion and composition sweetly conjoyne together one not destu●bing but qualifying the excesse of the other as if they without eyther sense or reason meant to teach men both But above all Piety and Religion enjoynes this Are wee not all Christians nay are wee not all Protestants or at least should be all professing one and the same faith the same Baptisme have we not all one Father one Redeemer are wee not all members of one and the same holy Church whence then are these discords amongst brethren these detractions amongst friends I le speake no more least I seeme to teach those who should teach others And this I speake not with any solace to my selfe but with greefe of heart in the behalfe of such which are guilty of such breakings out and make my prayers to God for them that they may see the foulenesse of the offence and be incited stirred up unto repentance and make satisfaction for the same by calling in their sinister and untrue reports And as they render their owne reputation so to bee carefull of the reputation of others and as they love their owne peace so to bee studious and tender of the peace of others If they shall doe this there will bee some satisfaction made though full recompensation for Calumnie can never bee made and comfort in their acknowledgement and repentance If it cannot bee by this effected I will follow the precept of my Saviour and pray to God for t●em and walke as well as I can through good reports and bad reports and comfort my selfe with the companie of my Saviour of the Apostles and of all Gods Saints who were not exempted from the lash of the tongue commending my cause to God and to the equall judgement and censure of a Reader not partiall to whose mercy likewise I commend them and so desiring with St. Paul that we may all keepe the unity of the Spirit in the band of peace this ever shall be my wish Hoc habeat concordia signum Vt quos una fides jungat vnus Amor. SInce my first publication of the uses of my Mathematicall Ring or the Logarythmes projected Circular I have beene oftentimes invited by sundry persons for to deliver the way of the projecting and dividing of the Circles of my Ring upon a Plaine so that it might bee made in Pastboard to avoyde the charge of the Instrument in metal for such which have not abilities to buy and for others who would first see the practise on it before they would be at the cost of the Instrument in metal for whose sake and use desiring to satisfie the affectionat and for a publike benefit rather then mine owne particular profit I have caused two Plates of metal to be cut and ingraved the one containing the Circles of the Projection of my Ring noted with the letter A. and the other comprehending the Projection inlarged noted with the letter B. that so they may make use of them more readily to avoid the labour of dividing the Circles which schemes being pasted on a Pastboard it is ready for use And yet further to satisfie those that are desirous I have delivered also in the first place ensuing how those Circles are divided that so they may bee made according to any magnitude In the second place how severall wayes they may be framed into a Ring In the third place I shew the inlarging of the Instrumentall Invention in these Circles to as great a magnitude for use as may be desired In the fourth place I deliver severall wayes how these Circles inlarged may bee accommodated for Practicall use In the fift place I make a description of the Grammelogia or Instrument in the particular Circles of my Mathematicall Ring projected on a mooveable and fixed plaine And in the sixt and last place I will declare the admirable and excellent uses of both these Instruments in the Practicall parts of Arithmeticke Geometrie Astronomy Horolographie Navigation c.