Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	north_n	pole_n	south_n	3,753	5	10.5697	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
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

they could practice to launch it into the water Archimedes that excellent Mathematician caused this engine to be framed whereby the King himselfe did with one hand lift vp the sayde mightie vessell from the Earth and set it into the Sea which although many aswell Historiographers as others haue in theyr works mentioned yet none haue hitherto set downe the perfect framing thereof saue only the learned Besson who ha●● thus left it vnto posterity The Tripaston for so 〈◊〉 nameth it may be composed of as many wheele and screwes to turne those wheeles as you wi●● but of fower of each at the least The first screw must haue a handle to turne about lyke the handle of a handmyll or grynding stone and so fitted as being turned round it may also turne the first wheele by meanes of the oblique swellings of the same screw falling betweene the Teeth or Cogs of the saide first wheele which Teeth must be so many in nūber as may be proportionall to the strēgth you would multiplie by the same The Axletree of the first wheele must haue vpon the same a second screw which may in like manner and proportion turne a second wheele and that second a thirde which third a fowerth and so infinitely at pleasure Now if the first screw by the handle be turned about 20. tymes to the turning of the first wheele once I affirme that the sayde first wheele will lift vp as much poyse or burthen as the strength of 20. men will extend vnto hauing a cord fastened to the same and to the Axletree of the saide first wheele and a man to turne about the first screw by the handle thereof The second wheele hauing the lyke proportion in motion to the first as the first hath to the handle I conclude that the second wheele will in lyke sort rayse vp 20 tymes 20 mens strength which is 400 mens strength The third wheele 20 tymes 400 mens strēgth which is 8000. The fowerth 20 tymes 8000 which is 160000 mens strength and so foorth infinitely A thing which to many will seeme incredible but who so will duely put the same in practice shall find it fully able to performe the promised effect whereby it appeareth that it was not without reason that Archimedes affirmed that he could moue the whole Globe of the Earth out of her place if he had any firme place in the Ayre that could support his said Engine and therevpon made this Probleme Datum pondus datis veribus mouere But here may some make questiō if the slowenesse of this Engin cānot by some Artificiall meanes be hastened to which I answere it may by taking away one or two of the last wheeles screwes and Axis and in their places so vse common Pullies whereof Vitruuius wryteth in his tenth booke and third Chapter which Pappus in his Annotations vpon the Mechanicks of Archimedes affirmeth to haue also infinite force with great celerity Thus much may suffice for the framing of this Engine whose benefite may be extended to infinite necessary vses Onely I will here demonstrate in the figure following the forme of the said Screwes and wheeles Briefe Expositions of the Geometricall and Astronomicall tearmes mentioned in this Treatise A lyne is a length without breadth or deepnesse Lyne A Superficies or Surface hath onely length and bredth without deepenesse Surface A plane is equally flat contained within lynes Plane and doth not bulke out or shrinke in at any place and is saide to be represented when a lyke figure hath an absolute lyke situation and constitution An Angle is the concourse of two or moe seuerall lynes in one same poynt Angle And is giuen when the degrees of the subtending arch thereof is knowne A right or square angle Right angle is when two lynes fall square one vpon another making all the angles framed thereby equall A Sharpe or acute angle Sharpe angle is any angle that is lesse then a square angle A Blunt or Obtuse angle Blunt angle is any angle that is greater then a right or square angle A Triangle is a Figure of three Corners or angles Triangle And is giuen when the quantity of all the Angles and sides are knowne A Circle is a round Figure Circle made by the turning of a lyne vpon a poynt fixed The Circumference of a Circle is the outmost edge or lymbe of the Circle Circumference being in all places equidistant from the aforesaid fixed poynt Any part of a Circumferēce is an Arch An arch is giuen Arch when the degrees contained therein are knowne The Centre is a poynt in the midst of a Circle Centre Globe or Spheare The dyametre of a Circle is the longest straite lyne that can be drawne within a Circle Diametre and it passeth through the Centre from side to side Semidiametre The halfe thereof is the Semidiametre A great Circle is that which diuideth the world into two equall parts Great Circle The edge or Lymbe thereof containing 360. equall parts or degrees Degree A Degree is therefore 1 360 part of a Circle The Aequator or Aequinoctiall is a great Circle Equinoctiall girding the world in the midst between the two Poles The Zodiack is a great Circle broad and slopewise situate Zodiack bearing the 12 Signes In the midst of which Circle is a lyne called the Ecliptick Ecliptick from which the Sun neuer swarueth The Meridian is a great Circle passing through the Zenith and Poles of the world Meridian being alwayes permanent though the Sphere be moued The Horizon is a great Circle Horizon diuiding the world according to sēse into 2 equal parts viz the Superior seen or Diurnall Hemisphere and the inferior vnseene or Nocturnall Hemisphere Azimuthes Azimuthes or Circles verticall are great Circles and passe through the Zenith intersecting the Horizon with right angles Almicanterathes or Circles of altitude Almicantares are Circles paralell to the Horizon and are greatest being neerest the Horizon and least being neerest the Zenith The Axis or axletree of the world Axletree is a lyne supposed to passe through the Centre of the Earth the extreames or ends of which lyne are the Poles of the world viz the North end the Pole artick and the South end the aniartick There is North Latitude and South Latitude of places Latitude of places For all places between the Equinoctial and the North pole haue North Latitude and between the Equinoctiall and the South Pole haue South Latitude The Longitude of the Earth is as the Circuit of the Equator in the Heauens Longitude of places And is diuided into 360 euen parts or degrees Any two places being lesse then 180 degrees distant haue one same Longitude if they be vnder one same Meridian Otherwyse they haue different Longitude Any two places hauing lyke Latitude being both North or both South Latitude are in one same Paralell The verticall poynt or Zenith is a poynt in Heauen directly ouer our heads Zenith and is the Centre or Pole of the Horizon The Oposite poynt is the Nadire 〈…〉 Nadir The Paralax or difference of Asp●●● 〈◊〉 a Comet Planet or other Luminary Paralax is the angle 〈…〉 intersection of the Lyne of the true Place 〈…〉 place thereof reckoned in the Firmament FINIS Faultes escaped in the originall Copie it selfe Page 10. in the lyne of the figure A C write G at the vpper end of the arch D and at the star * write Q. And page 11. lyne 10 for as the arch E C doth at E reade as the arch B C doth at B and in l. 15 for poynt E reade poynt B and l. 26 for side A C on C reade A Q on Q And 1. 27 for side A C at the poynt A reade side A Q at the poynt D. And page 12. l. 1 for the poynt A of the line A C reade the poynt G of the line A Q And l. 2 for arch A D which will fall in E read arch G D which will fall in D l. 3 for from C reade from Q. l. 4. for poynt E reade poynt D l. 6 for angle A K C reade A K Q.