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
A08582	The circles of proportion and the horizontal instrument The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.	Oughtred, William, 1575-1660.; Forster, William, mathematician.; Oughtred, William, 1575-1660. Addition unto the use of the circles of proportion. aut	1633 (1633)	STC 18899B; ESTC S120820	74,822	159

substile The due situation of those distances vpon the Dyal plaine dependeth on the true placing of the Meridian or 12 a clocke line for that being truely described all the rest will be easie enough First therefore I will shew the manner how the Meridian or 12 a clocke line is to be described Take in your Dyal some point for the Center where you shall thinke fit and through it draw a line parallel to the plaine of the Horizon Crosse it in the Center with a perpendicular line And hauing opened your compasses to the length of the Semidiameter of your paper Instrument describe on the Center a Circle equall to the innermost Limbe thereof In which Circle the line parallel to the Horizon is for the Horizontal intersection and the other for the line perpendicular to it and the Circle it selfe representeth the plaine Marke therein the East and West sides of the Plaine with E and W. In the Horizontal and in al North and South direct Plaines both vpright and stooping and in all vpright declining plaines the Meridian is perpendicular to the Line parallel to the Horizon In North ●●clining and South reclining plaines the Meridian is to bee drawne on that side of the Dyal plaine either East or West into which the declination is But in North inclining and South reclining on the contrary side And if the plaine bee Northerne the Meridian shall be aboue the Line parallel to the Horizon and if the plaine be Southerne it shal be vnder it And if the contrary Pole be eleuated it shall be drawne through the Center into the opposite Quadrant of the Circle in your Dyal plaine Lastly in a direct East and West plaine both inclining and reclining the Meridian is the same with the line parallel to the Horizon Wherefore with your compasses take the distance in the limbe of your Instrument from the next Horizontall point vnto the marke of the Meridian and measure it vpon the Circle of the Dyal plaine in that part and on that side according as in consideration of the eleuated Pole and of the qualitie of the Plaine was shewed to be agreeable And at the end of that arch through the Center draw a line for the Meridian Againe with your compasses take the distances in the limbe of your Instrument betweene the marke of the Meridian and the markes of all the houre Lines seuerally and setting them vpon the Circle of the Dyal plaine orderly from the Meridian the Forenoone houres on the West side of it and the Afternoone houres on the East side at the end of euery one of those arches draw the houre Lines and distinguish them with their proper figures accordingly Lastly fasten the stile in the Center so that it may hang perpendicular vnto the plaine in the Substile at the iust height And because the stile in every Dyal is vnderstood to be a segment of the Axis of the world which is a line imagined to passe from the North to the South Pole through the Center of the earth the stile being rightly placed shal still with the end point towards the eleuated Pole that is vpward from the Center if the North Pole be eleuated or downeward from the Center if the South Pole be eleuated XXIX Vse The making of all manner of plaine Dyals not hauing Centers If the plaine represented on the Instrument as was taught before in the XXV and XXVI Vses cut the Pole of the Aequinoctiall it is an horary Circle either one of them which are drawne in the Instrument or falling betweene some two of them and the Dyall plaine it selfe shall not crosse the axis of the world but lye parallel to it without any Angle of eleuation And therefore such a Dyal can haue no Center But the stile the substile and all the houre lines shall be parallel one to another Every such Plaine represented on the Instrument Either First it is the Meridian of the place the Horizontall intersection whereof is the 12 a clocke Line drawne from North to South and the Dyall made thereon is a direct East or West vpright Dyal In which the substile is distant from the Line in the Circle of the Dyall plaine parallel to the Horizon with an Arch equall to the eleuation of the Pole and vpward toward the Pole And is also the 6 a clocke line in your Dyal The rest of the houre lines are thus described Draw through the substile in any point a long Line at right Angles that line shall bee the Aequinoctial intersection vsually called the Contingent line And taking a conuenient distance for the stile to hang parallel over the substile according to the greatnesse of your Dyall plaine measure it vpon the substile from the Aequinoctiall intersection and vpon the end of that measure describe halfe a Circle for the Aequinoctiall it selfe Diuide each Quadrant thereof from the substile into 6 equall parts or houres Then applying a Ruler to the Center and to euery one of those diuisions seuerally where in euery place the Ruler shall cut the long line of Aequinoctiall intersection make pricks and through those pricks draw the houre lines parallel to the Substile or 6 a clocke line distinguishing so many of them as bee needfull with their figures that is all the Forenoone houres on the East plaine and all the Afternoone houres on the West plaine But in these Dyals there is no 12 a clock line it being infinitly distant from the Substile Lastly hang the stile directly over the Substile and parallel to it at the distance formerly taken And thus are your East and West Dyals finished Or Secondly it is the sixt houre Circle the Horizontal intersection whereof is the line of East and West and the Dyal made thereon is direct North inclining or South reclining with an Arch equal to the complement of the height of the Pole And the parallel to the Horizon is the Aequinoctial intersection and the line perpendicular to it is the 12 a clocke line and also the Substile The rest of the houre Lines from 7 a clocke in the morning to 5 in the euening are thus described Take a conuenient distance for the Stile from the Substile measuring it vpon the Substile from the Aequinoctial intersection and on the end of that space describe the Semicircle of the Aequinoctial to bee diuided on both sides of the Substile into 6 houres through euery one of which out of the Center a Ruler being applyed at the points of the seuerall intersections of the Ruler with the Aequinoctial intersection draw the houre Lines parallel to the Substile or 12 a clocke Line distinguishing them with their figures namely 11 10 9 8 7 on the West side and 1 2 3 4 5 on the East side but in these Dyals there is no sixe a clocke Line it being infinitly distant from the Substile Lastly hang the Stile directly over the Substile and parallel to it at the distance formerly taken Or Thirdly it is North inclining or South