Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A09258	A briefe introduction to geography containing a description of the grounds, and generall part thereof, very necessary for young students in that science. VVritten by that learned man, Mr William Pemble, Master of Arts, of Magdalen Hall in Oxford.	Pemble, William, 1592?-1623.	1630 (1630)	STC 19571; ESTC S114325	20,167	42

certaine working This may be done though it be laborious yet exactly without any sensible error by a skilfull workeman plotting it out vpon his paper with due heed taken that 〈◊〉 often rectifie the variation of the needle by which he travells vpon due observation and that all notable ascents and descents with such winding and turning as the necessity of the way causeth be reduced to one streight line By this means wee shall know how many miles in the Earth answering to a degree in the Heauens if exact observation by large instruments be made to finde the elevation of the pole in the first place where wee begin to measure and the last where wee make an end Besides this way of measuring the circumference of the Earth there is none other that hath any certainty of obseratiō in it That by Eclipses is most vncertain for a little error in a few minuts of time which the observers shall not possibly avoide breeds a sensible and fowle error in the distance of the two places of observation That of Erat●sthenes by the Sunne beames and a shadow of a stile or gnomon set vpon the Earth is as bad as the other For both the vncertainty of the calculation in so small quantity as the shadow and the gnomon must needs haue and the difficulty to obserue the true length of the shadow as also the false supposition wherevpon it proceeds taking those lines for Parllells which are not doe manifestly shew the reckoning hereby made to be doubtfull and not sure 2 The second is by measuring the semidiameter of the Earth For as the circumference makes knowne the diameter so doth this the circumference This may be done by observ●tion made vpon some great hill hard by the sea side The invention is of Maurolycus Abbot of Mess●va in Sicili● but it hath beene perfitted and more exactly performed by a worthy Mathematician Ed. W. who himselfe made proofe of it By this art was the 〈…〉 idiameter of the Earth ●ound ou● to be 1831262● foote which allowing 5000 foot to a mile is ●662 a halfe miles which doubled is the whole Diameter 7325 miles The circuit of the earth shall be 2●030 miles and one degree containes 63 61 36 miles which is almost 64 miles Which as it exceeds the ordinary account so may wee rest vpon it as more exact then any other 2 The second point concerninge the measuringe of particular distances of places one from another is thus performed First vpon the Globe it is most easie With a payre of Compasses take the distance betweene any two places howsoever scituated vpon the Globe and apply the distance so taken to the Aequator see how many degrees it takes vp those degrees turned into miles shew the distance of the two citties on from another Vpon vniuersall mapps theire is a little more difficulty in finding the distance of places which here must bee considered in a threefold difference of scituation 1 Of Latitude only 2 Of Longitude only 3 Of Latitude and Longitude together 1 If the two places differ only in Latitude and lie vnder the same Meridian if the places lie both on one side of the Aequator the differences of the latitudes or the summe of both latitudes added together if one place lie North and another South being turned into Miles giues the true distance 2 If the places differ only in Longitude and lie both vnder one parallel of latitude the difference of longitude turned into miles proportionably accordinge to the latitude of the paralell giues the true distance 3 The distance of places differing both in latitude and longitude may thus bee found out first let there bee drawne a semicircle vpon a right diameter noted with A B C D whereof D shall bee the Center The greater this Semi-circle is made so much the more easie will bee the operation because the degrees will bee la 〈…〉 Then this Semicircle being drawne and accordingly devided imagine that by the helpe of it you desire to find out the distance betwixt London and Ierusalem which Citties are knowne to differ both in longitude latitude Now that the true distance betwixt th●se two places may be found out you must first substract the lesser longitude out of the greater so shall you find the differences of their longitudes which is 47. degrees Then reckon that difference vpō the Semi-circle beginning at A so proceed to B at the end of that difference make a marke with the leter ε vnto which point by your ruler let aright line be drawne from D the center of the Semi circle This being in this sort performed let the lesser latitude be sought out which in 32 degrees in the fore said semicircle beginning your accompt from the point E and so proceede towards B and at the end of the lesser latitude let another point be marked out with the letter G from which point let there be drawen a perpendicular line which may fall with right Angles vpon the former line drawen from D to ε and where it chanceth to fall there marke out a point with the letter H This being performed let the greater latitude which is 51 degrees 32 minuts be sought out in the semicircle beginning to reckon from A towards B and at the end of that latitude set another point signed out by the letter I from whence let there be drawen another perpendicular line that may fall with right angles vpon the diameter AC here marke out a point with the letter K this done take with your compasse the distance betwixt K and H which distance you must set downe vpon the diameter AC placeing the one foot of your compasse vpon K and the other towards the center D and there marke out a point with the letter L then with your compasse take the shorter perpendicular line G H and apply that widenesse vpon the longer perpendicular line I K placing the one foote of your compasse at I which is the bounds of the greater latitude and extend the other towards K and there make a point at M then with your compasse take the distance betwixt L and M and apply the same to the semicircle Placing the one foot of your compasse in A and the other towards B there marke out a point with the letter N now the number of degrees comprehended betwixt A and N will expresse the true distance of the two places which will bee sound to be 39 degrees which being multiplied by 60. and so converted into miles according to the former rules will produce 2340. which is the distance of the said places FINIS 〈◊〉 Navigation ● 229. Of this Hypothesis se● 〈◊〉 errors of navigation That is Geographers looke to the North Astronomers to the South Priests turne them to the East Poets to the West Those th●● dwell vnder the Pole haue not past 3. or 4 moneths profund as ●ene●ras darke night for when the Sun is in Libra Pisces being then nigh the Horizon it sends forth to them a glimmering light not vnli●e to the twilig●● or d●wning of the day in a morning a little before the Suns rising Muns●er lib. 1. cap.