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
A64223	The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T.	Taylor, John, 1666 or 7-1687.	1667 (1667)	Wing T533B; ESTC R221720	52,688	153

next the outward limb of the moveable and loose piece both Yet because it is requisite to have pins to keep the loose piece close in its place You may have two sights more to supply their place which sometimes you may make use of and so the number of sights may be five viz. two sliding sights one turning sight and two pin sights to put into the holes at the end of the fixed and moveable piece to hold the tenons of the loose piece close joynted Every one of these sights hath a fiducial or perpendicular line drawn down the middle of them from the top to the bottom where this line toucheth the graduations on the limb is the point of observation The places of these sights have an oval proportion about the middle of them only leaving a small bar of brass to conduct the fiducial line down the oval cavity and support a little brass knot with a sight hole in it in the middle of that bar which is ever the point to be looked at There are two wayes of observing an altitude with help of these sights The one when we turn our face toward the object This is called a forward observation in which you must alwayes set the turning sight next your eye This way of observation will not exactly give an altitude above 45 degrees The other way of observing an altitude is peculiar to the Sun in a bright day when we turn our back toward the Sun This is termed a backward observation wherein You must have one of the sliding sights next Your eye and the turning sight toward the Horizon This serves to take the Suns altitude without thread or plummet when it is near the Zenith PROBL. 1. To finde the Suns altitude by a forward observation Serve the turning sight to the center of those graduations you please to make use of whether on the inward or outward limb and place the two sliding sights upon the respective limb to that center this done look by the knot of the turning sight moving the instrument upward or downward until you see the knot of one of the sliding sights directly against the Sun then move the other sliding sight until the knot of the turning sight and the knot of this other sliding sight be against the horizon then the degrees intercepted 'twixt the fiducial lines of the sliding sights on the limb shew the altitude required PROBL. 2. To finde the distance of any two Stars c. by a forward observation Serve the turning sight to either center and apply the two sliding sights to the respective limb holding the instrument with the proportional side downward and applying the turning sight to your eye so move the two sliding sights either nearer together or further asunder that you may by the knot of the turning sight see both objects even with the knots of their respective sliding sights then will the degrees intercepted 'twixt the fiducial lines of the object sights on the limb show the true distance By this means you may take any angle for surveying c. PROBL. 3. To finde the Suns Altitude by a backward Observation Serve the turning sight to the center at the beginning of the line of sines and apply one of the sliding sights to the outward limb of the loose piece and the other to the outward limb of the moveable piece and turning your back toward the Sun set the sliding sight upon the moveable piece next your eye and slide it upward or downward toward the end or head until you see the shadow of the little bar or edge of the sight on the loose piece fall directly on the little bar on the turning sight and at the same time the bar of the sight next your eye and the bar of the turning sight to be in a direct line with the Horizon Then will the degrees on the limb intercepted 'twixt the fiducial lines of the sliding sights if you took the shadow of the bar or 'twixt the fiducial line of the sliding sight next your eye and the edge of the other sliding sight when you took the shadow of the edge be the true altitude required ΣΚΙΟΓΡΑΦΙΑ OR The Art of Dyalling for any plain Superficies LIB II. CHAP. I. The distinction of Plains with Rules for knowing of them ALL plain Superficies are either horizontal or such as make Angles with the Horizon Horizontal plains are those that lie upon an exact level or flat Plains that make Angles with the Horizon are of three sorts 1. Such as make right angles with the Horizon generally known by the name of erect or upright plains 2. Such as make acute angles with the horizon or have their upper edge leaning toward you usually termed inclining plains 3. Such as make obtuse angles with the horizon or have their upper edge falling from you commonly called reclining plains All these three sorts are either direct viz. East West North South Or else Declining From South toward East or West From North toward East or West All plain Superficies whatsoever are comprized under one of these terms But before we treat of the affections or delineation of Dials for them it will be requisire to acquaint you with the nature of any plain which may be found by the following Problems PROBL. 1. To finde the reclination of any Plain Apply the outward ledge of the moveable piece to the Plain with the head upward and reckoning what number of degrees the thread cuts on the limb beginning your account at 30. on the loose piece and continuing it toward 60 0 on the moveable piece you have the angle of reclination If the thread falls directly on 60 0 upon the moveable piece it s an horizontal if on 30. on the loose piece it s an erect plain PROBL. 2. To finde the inclination of any Plain Apply the outward ledge of the fixed piece to the plain with the head upward and what number of degrees the thread cuts upon the limb of the loose piece is the complement of the plains inclination PROBL. 3. To draw an Horizontal Line upon any Plain Apply the proportional side of the Instrument to the plain and move the ends of the fixed piece upward or downward until the thread falls directly on 60 0. upon the loose piece then drawing a line by the outward ledge of the fixed piece its horizontal or paralel to the horizon PROBL. 4. To draw a perpendicular Line upon any Plain When the Sun shineth hold up a thread with a plummet against the plain and make two points at any distance in the shadow of the thread upon the plain lay a ruler to these points and the line you draw is a perpendicular PROBL. 5. To finde the declination of any Plain Apply the outward ledge of the fixed piece to the horizontal line of your plain holding your instrument paralel to the horizon This done lift up the thread and plummer until the shadow of the thread fall directly upon the pin hole on the fixed