Selected quad for the lemma: truth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
truth_n	work_n	workman_n	young_a	18	3	6.2465	4	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A51544	Mechanick dyalling teaching any man, though of an ordinary capacity and unlearned in the mathematicks, to draw a true sun-dyal on any given plane, however scituated : only with the help of a straight ruler and a pair of compasses, and without any arithmetical calculation / by Joseph Moxon ...	Moxon, Joseph, 1627-1691.	1668 (1668)	Wing M3009; ESTC R20066	27,959	54

Mechanick Dyalling TEACHING Any Man though of an Ordinary Capacity and unlearned in the Mathematicks to draw a True SUN-DYAL On any Given Plane However scituated Only with the help of a straight RVLER and a pair of COMPASSES And without any Arithmetical Calculation By Joseph Moxon Hydrographer to the Kings most Excellent Majesty LONDON Printed for Joseph Moxon on Ludgate-hill at the Sign of Atlas MDCLXVIII MECHANICK DYALLING Description of Dyalling DYalling originally is a Mathematical Science attained by the Philosophical contemplation of the motion of the Sun the motion of the Shaddow the Constitution of the Sphere the Scituation of Planes and the consideration of Lines Explanation THE motion of the Sun is regular it moving equal Space in equal Time But the motion of the Shaddow irregular in all parts of the Earth unless under the two Poles and that more or less according to the Constitution of the Sphere and scituation of the Plane And therefore Scientifick Dyalists by the Geometrick considerations of Lines have found out Rules to mark out the irregular motion of the Shaddow in all Latitudes and on all Planes to comply with the regular motion of the Sun And these Rules of adjusting the motion of the Shaddow to the motion of the Sun may be called Scientifick Dyalling But though we may justly account Dyalling originally a Science yet such hath been the Generosity of many of its studious Contemplators that they have communicated their acquired Rules whereby it is now become to many of the Ingenious no more difficult than an Art and by many late Authors so intituled Nay more by this small Treatise it will scarce be accounted more than a Manual Operation for though hitherto all the Authors I have met with seem to presuppose their Reader to understand Geometry and the projecting of the Sphere already or else endeavour in their Works to make him understand them as if they were absolutely necessary to be known by every one that would make a Dyal when as in truth the contemplative pains of others aforesaid considered they are not but indeed are only useful to those that would know the reason of Dyalling Thus they do not only discourage young beginners but also disappoint many Gentlemen and others that would willingly either make them themselves or set their Workmen about them if they knew how to make them This little Piece I have therefore composed for the help of those who understand neither the Projection of the Sphere or Geometrical Operations Only if they know how to draw a straight Line between two Points by the side of a Ruler describe a Circle with a pair of Compasses erect a Perpendicular and draw one Line parallel to another they may know how to draw a Dyal for any given Plane however scituated in any Latitude But perhaps these two last little Tricks are not known to all new beginners therefore I shall shew them First How to erect a Perpendicular For Example in Fig. 1. Upon the Line AB you would erect a Perpendicular to the Point C Place one Foot of your Compasses upon the point C and open the other to what distance you please For Example to the point A make there a mark then keeping the first Foot still in C turn the other Foot toward B and make there another mark then open your Compasses wider suppose to the length AB and placing one Foot in the point A with the other Foot describe a small Arch over the point C and removing the Foot of your Compasses to the point B with the other Foot describe another small Arch to cut the first Arch as at D. Then lay your straight Ruler to the point where the two small Arches cut each other and upon the point C and by the side of the Ruler draw the Line CD which shall be a Perpendicular to the Line AB Another way with once opening the Compasses as by Fig. 2. Draw the Line AB and place one Foot of your Compasses upon the point you would have the Perpendicular erected as at the point C and with the other foot describe the Semi-Circle A ab B then placing one Foot in B extend the other Foot to b in the Semi-Circle and keeping that Foot in b extend the other Foot to D and make there a small Arch Then remove one Foot of your Compasses to A and extend the other Foot to a in the Semi-Circle and keeping that Foot in a extend the other to D and make there another small Arch to cut the first small Arch and laying a straight Ruler to the point where these two small Arches cut each other and upon the point C draw by the side of the Ruler the Line CD which shall be Perpendicular to the Line AB To erect a Perpendicular upon the end of a Line as by Fig. 3. On the point B at one end of the Line AB place one Foot of your Compasses in the point B and extend the other on the Line towards A as to b and with it describe the Arch ba C then placing one Foot in b extend the other to a in the Arch and make there a mark Divide with your Compasses the Arch ba into two equal parts and keeping the Feet of your Compasses at that distance measure in the Arch from a to C then draw a straight Line from the point C to the end of the Line B and that straight Line shall be Perpendicular to the end of the Line AB To draw a Line Parallel to another Line as by Fig. 4. Example If you would draw a Line Parallel to the Line AB open your Compasses to the distance you intend the Lines shall stand off each other and placing one Foot successively near each end describe with the other Foot the small Arches CD lay a straight Ruler to the top of these Arches and draw a Line by the side of it and that Line shall be Parallel to the Line AB Definitions A Dyal Plane is that Flat whereon a Dyal is intended to be projected Of Dyal Planes some be Direct other Decliners others Oblique Of Direct Planes there are five sorts 1. The Horizontal whose Plane lies flat and is parallel to the Horizon beholding the Zenith 2. The South Erect whose Plane stands upright and directly beholds the South 3. The North Erect whose Plane stands upright and directly beholds the North. 4. The East Erect whose Plane stands upright and directly beholds the East 5. The West Erect whose Plane stands upright and directly beholds the West Of Decliners there are infinite and yet may be reduced into these two Kinds 1. The South Erect Plane declining more or less towards the East or West 2. The North Erect Plane declining more or less towards the East or West Of Oblique Planes some are Direct others Declining and are of four sorts 1. Direct Inclining Planes which lean towards you and lie directly in the East West North or South quarters of Heaven 2. Direct Reclining Planes which