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A08349 A mathematicall apendix,[sic] containing many propositions and conclusions mathematicall: with necessary obseruations both for mariners at sea, and for cherographers and surueyors of land; together with an easie perspectiue mechanicall way, to deline at sunne dyalls vpon any wall or plane giuen, be it direct, inclyning, declyning, or reclyning, for the horizon, or meridian, in any region or place of knovvne latitude. With other things pleasant and profitable for the weale publick, not heretofore extant in our vulgar: partly collected out of foreigne moderne writers, and partlie inuented and practised by the author. Written by R.N. Gent. Norton, Robert, d. 1635. 1604 (1604) STC 18675; ESTC S119965 19,791 52

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A MATHEMATICALL APENDIX CONTAINING MANY PROPOSITIONS AND CONclusions mathematicall with necessary obseruations both for Mariners at Sea and for Cherographers and Surueyors of Land TOGETHER WITH AN EASIE perspectiue mechanicall way to Delineat Sunne dyalls vpon any Wall or Plane giuen be it direct inclyning declyning or reclyning from the Horizon or Meridian in any Region or Place of knovvne Latitude With other things pleasant and profitable for the weale publick not heretofore extant in our vulgar Partly colllected out of Foreigne moderne writers and partlie inuented and practised by the Author Written by R. N. Gent. LONDON Printed by R. B. for Roger Iackson and are to be sold at his shoppe in Fleet-strtet 〈…〉 ●●●duit 1604. TO THE RIGHT HONORABLE MY SINGVLER GOOD LORD AND MAster Sir EDVVARD SEYMOVR Knight Baron Beauchamp Earle of Hertford and his Maiesties Liuetenant within the Counties of Somerset and Wiltess and the City and County of Bristoll RIght honorable since amōgst the rudest Creatures euen the brute beasts deuoide of Reason Ingratitude that foule Monster is not once to be found how hatefull then the very remembrance thereof ought to be vnto humane Creatures but especially to those that professe Christianitie in whome it hath pleased the souereigne Creator of all things to make his chiefe Storehouse of all Reason in these Terrestiall parts so much as to purpose much more in action to proue ingratefull to any but chiefely to those from whom especiall fauours haue proceeded who is it that will not absolutely censure Wherefore my honorable good Lord because I would not seeme more then brute although J acknowledge my abilitie cannot extend vnto the moytie of my desire yet like the poore man who wanting better wherewith to expresse his loyall affection presented the mightie Prince Alexander the great with a cup of coole water so offer I this small and therefore vnworthy present vnto your honorable acceptance my bounden duety euer challenging greater doth neuerthelesse encourage me to beginne with this little Humbly praying your Lordship to shroud these my first fruits vnder the wings of your honorable patronage against the enuious stormes of Zoilus and his Crittick associates who are alwayes more ready to carpe and find fault with others then any way able to doe the like themselues Herein promising to my selfe that the more learned in the Mathematicks who I confesse had bene much fitter to haue handled this subiect then my selfe and those that desire the benefite of knowledge in the common wealth for which I protest I chiefely vndertooke this work in regard that scant any thing herein contained is yet extant in our vulgar tongue will if not imbrace yet at the least not vtterly reiect and contemne this my trauaile The acceptance of the more learned and better sort I assume to my selfe hauing euer noted such to fauor the desire of good studies And of those that loue the common good I much presume iudging them by my selfe hauing euer borne especiall affection to such as haue shewed their willing endeauours to profit the publique weale with their best meanes And so praying almighty God to blesse your Lordship and my good Lady your honorable Countesse with long life and all happie encrease of honour and prosperity in this world and in the world to come eternall felicity I rest alwayes Your honors most humble and faithfull seruant ROBERT NORTON THe Longitude gentle Reader for which this present Treatise was chiefly composed is defined to be the shortest distance that can possibly be taken vpon the Globe of the Earth betweene two Meridians propounded beginning to reckon the same from west to East at the Meridian of the Iland Coruo which our latest writers for diuers good reasons account for the first Meridian To find the longitude is by some meanes to search how many degrees the Meridian of the place where you make obseruatiō is distant from some one Meridian giuen The knowledge whereof being so necessary as that the Geographers and Nauigators cannot with exactnesse performe what in their Arts necessity requireth without the same Therefore haue many worthy men taken great paynes and with al ingeniousnes labored to supply that defect with the most exquisite meanes they could deuise for the readiest finding therof who haue set downe many Propositions to that effect and both learnedly and ingeniously left vnto posteritie such tokens of their loue to the publique good as may iustly challenge to merit infinite memorie and commendation As Ptolome by the time of an Eclipse in two seuerall places beeing knowne to find the longitude Appian the true places of the Moone and a fixed Starre being giuen to find the Longitude Others by the Angle that a fixed Star maketh at the moment of time shee entreth into the first minute of Cancer or Capricornus and the difference of tyme wherein such an angle appeareth to find the Longitude Some with portable watches the true hower of sundry places beeing giuen to find the Longitude The tyme beeing giuen and the way of the Ship to find the Longitude The poynt of the Compasse the way of the ship giuē to find the longitude The Latitude and the way the ship maketh to find the Longitude c. All which are found to be subiected vnto inauoydable errors or els clogged with such difficulties or want of expedient execution as that they cannot absolutely bee concluded for perfect apt meanes to finde the Longitude at Sea the want of which is the greatest imperfection in the Art of Nauigatiō Take here in good part friendly Reader these few propositions not heretofore written in this our vulgar cōtaining partly collections which from sundry Authors in other Languages I haue sought out and augmented or abreuiated for thy better vse and partly practised obseruations which time opportunity permitting my selfe haue experienced both on Sea Land Requesting that with the friendly eye of Iudgement thou wouldest consider them well before thou divulge any vnaduised censure against them Not doubting but euery one that shall deign a due perusing hereof may find som thing worthy his bestowed labor And so graying excuse if I seem to omit any necessary poynt in the premisses which I might soon do in regard I much striued to auoid prolixity doe heartily wish thee thy lawfull desire and my selfe present to expound any thing that seemes herin difficil referring my labor to your curteous fauors ●end ROBERT NORTON A Table containing the conten's of the Propositions of this Booke Proposition 1. How to finde the Longitudes of places by the dayly declination of the Sunne 2 How to find the Longitude by Arches of great Circles which passe by the Centres of the fixed Starres and Planets that yeeld no sensible paralax or difference of Aspect A Corollarie vpon the same shewing to performe the same more exquisitely by comparing the Planets one with an other Another Corollary vpon the same Consequence to find the Longitude by comparing the Sunne and Moon being nigh Coniunction and their