Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	east_n	mile_n	west_n	1,748	5	9.4550	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08584	An addition vnto the vse of the instrument called the circles of proportion, for the working of nauticall questions Together with certaine necessary considerations and advertisements touching navigation. All which, as also the former rules concerning this instrument are to bee wrought not onely instrumentally, but with the penne, by arithmeticke, and the canon of triangles. Hereunto is also annexed the excellent vse of two rulers for calculation. And is to follow after the 111 page of the first part.	Oughtred, William, 1575-1660.	1633 (1633)	STC 18899C; ESTC S105819	39,288	79

the whole Ship and company into unforeseene dangers Now an English mile by statute is the length of 8 furlongs and every furlong is 40 perches and a perch is feet 16½ so that by this reckoning a mile containeth 5280 feet in length though it be usually taken or rather mistaken that 60 of such miles make a degree which would bee very strange that our English mile drawne from Barley cornes should so happily fall out to answer to one minute yet the truth is that above 66 of our miles answer to a degree as by the observations of the most diligent enquirers is found out so that in voyding of every ten degrees above one degree is lost which is a maine enormity But of this enquirie it will not bee amisse from our purpose if we shall a little discourse Diverse wayes by diverse Artists have beene practised for finding out the true compasse of the earth And I know not whether any have given full satisfaction therein but either the grounds they have wrought on have beene uncertaine or the distances of the places of observation too short or the dilligence of the practiser to bee suspected That way which is by the height of an hill and a tangent line from thence to the superficies of the sea is rather a phantasie then a thing of actuall performance For neither the perpendicular h●ight of the hill above the levell of the water can with any certainty bee obtained nor such a tangent line by reason of the refraction of the vapours continually rising out of the sea can be estimated But it would for the performance hereof be an excellent worke if the height of the Pole at two townes of this Land distant North-ward one from the other some scores or rather hundreds of miles being with Instruments of sufficient magnitude by some learned Artists exactly observed there were also imployed certaine skilfull Surveyors such as are indeed lovers of art and truth to take the true distances and positions from place to place betweene the said townes Which survey I could wish were made with good plaine tables and with the same scale which should not be lesse then a foot by standard for 10 miles and that these measures of a foot according to a standard were all made in brasse by the same Workman and their chaines exactly fitted thereto and that the measure bee taken not along the High-wayes but by side stations where Steeples and other places eminent and of note may bee seene If the two townes of the observations were London and Edenborough it would be precisenesse sufficient nay if they were but London and Cambridge it would yield a greater certainty then any that I know hath yet beene used This I say were an excellent work and worthy the heroicall magnificence of some great man and yet not of any very chargeable performance but it would bring a marveilous light and furtherance to Navigation and unto all Astronomie In the meane time till it shall please God to stirre up some truely noble spirit for the effecting thereof I will make bold to propose away which any ingenious student whose sight both of his eyes and understanding is quicke and perspicacious may himselfe privately with much facility practise the reason whereof consisteth upon these three principles The I. is that if with a levelling Instrument set up in any place parallel to the Horizon a man take a true levell unto another place the visuall line by which he levelled shall be a tangent to such an arch of a great circle on the earth as is contained betweene the station and the marke Because that the visuall line together with the two lines imagined out of the center of the earth doe include a right angled Triangle having the right angle at the levell The II. is that if the same Instrument he set just even with the former mark and you levell backward to the former station this last visuall line shall overshoot the former place of the Instrument and shall inclose a new and greater right-angled triangle hauing the right angle at the second station 528 0 ⌊ 0138 100000,00 2,61 the tangent of the arch Min 0 ⌊ 09+ Say againe 0 ⌊ 09+ the number of feet answering to a degree upon the earth Thus have I set downe the rule and illustrated it with an example But in the practise by reason of the weakenesse of our sight not able to discerne a thing distinctly at any great distance we are constrained to take but short stations whereby the over-shooting of the second line of levell above the first is but very small there is required great precisenesse For the performance whereof it will not bee amisse to set downe some directions both concerning the Instrument place and time The levelling Instrument to be used in this worke I would not have to bee either with a channell for water nor with sights For the water besides that it doth continually exhale vapours hath a certaine tenacity whereby to avoyd any drynesse neere to it it will rather collect it selfe and stand in a heape then mixe with its enemy and contrariwise very gladly diffuseth it selfe in pursuit of any moysture And as for Sights if the sight-hole be very small it hindreth our seeing if any whit large it admitteth too many visiverayes which dilating themselves cannot fixe on the true and individuall point of the object But I would have it onely with a ledge one inch thicke and three inches broad and so broad also I would have a blacke stroke to be in a square white board for the marke to levell at that having set the ledge of the Instrument by the plumbe-line parallel to the Horizon in one station you standing aloofe off and guiding your eye along the two edges of the ledge and your companion at the other station raysing up or letting downe the marke-board as you shall direct him you may see the upper line of the blacke stroke levell with the upper edge and the lower line levell with the lower edge The place for the tryall of this experiment I would have to be a plaine field wherein you are to have for your use ready measured out by the foot directly East and West such a distance as you can discerne distinctly thereat which to a good and perfect sight may be 1000 feet or to an indifferent sight 528 feet which is the tenth part of a mile And at both ends of that distance which are to be your stations the ground to be handsomely plained and beaten for the more exact setting up of your Instruments thereon The time for making your observation I would have about Midsummer in a seasonable constant drye and calme weather when having set up your levelling Instrument in the Easterne station you may take your first levell about eleven a clocke in the forenoone Which being done you may remove your Instrument to the Westerne station and about one a clocke in the afternoone when the Sun is gone so farre