The geometrical sea-man: or, the art of navigation performed by geometry. Shewing how all the three kinds of sayling, viz. by the plain chart, by Mercators chart, by a great circle. may be easily and exactly performed by a plain ruler and a pair of compasses, without arithmeticall calculation. / By Henry Phillippes.

Title

The geometrical sea-man: or, the art of navigation performed by geometry. Shewing how all the three kinds of sayling, viz. by the plain chart, by Mercators chart, by a great circle. may be easily and exactly performed by a plain ruler and a pair of compasses, without arithmeticall calculation. / By Henry Phillippes.

Author

Phillippes, Henry, d. 1677?

Publication

London :: Printed by Robert and William Leybourn, for George Hurlock, and are to be sold at his shop at Magnus Church-corner,

1652.

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Link to this Item

https://name.umdl.umich.edu/A74866.0001.001 content_copy

Cite this Item

"The geometrical sea-man: or, the art of navigation performed by geometry. Shewing how all the three kinds of sayling, viz. by the plain chart, by Mercators chart, by a great circle. may be easily and exactly performed by a plain ruler and a pair of compasses, without arithmeticall calculation. / By Henry Phillippes." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A74866.0001.001. University of Michigan Library Digital Collections. Accessed May 5, 2024. content_copy

Contents

• title page
• TO The INGENIOUS, INDUSTRIOUS, and Yonger SEA-MEN.
• THE CONTENTS AND order of the whole BOOK.
• The names of such Books as are printed and sold by George Hurlock, at Magnus Church corner.
• Errata.
• THE GEOMETRICAL SEA-MAN. OR THE Art of Navigation performed by GEOMETRY.
  • CHAP. I. Containing some Geometricall Propositions, which will be of frequent use.
    • PROPOSITION 1. How to erect a Perpendicular line at the end of a line.
    • PROPOSITION 2. To draw one line parallel to another line, at any distance required.
    • PROPOSITION 3. How to make a Geometricall Square.
    • PROPOSITION 4. To raise a perpendicular in the midst of a line.
    • PROPOSITION 5. From a point aloft, to let fall a perpendicular upon a line given.
    • PROPOSITION 6. To draw a line squire wise to another line.
    • PROPOSITION 7. To divide a line given into two equall parts.
    • PROPOSITION 8. To raise a Perpendicular at the end of a line another way.
    • PROPOSITION 9. To make one angle equall, or like to another.
    • PROPOSITION 10. To divide a line into any number of equall parts.
    • PROPOSITION 11. To bring any three points, not lying in a straight line, into a Circle.
  • CHAP. II. Shewing how to divide a Circle several wayes which will be needful for many things.
  • CHAP. III. Shewing how to make a plain Chart, and many Propositions of sayling by it.
    • The description and making of the plain Chart.
    • PROPOSITION I. Knowing the longitude and latitude of a place, to finde out that very point upon the Chart, and so to set it upon the Chart.
    • PROPOSITION 2. The longitudes and latitudes of two places being known, to finde the Rumbe, which you must steere your course upon, in say∣ling directly between them.
    • PROPOSITION 3. Knowing the Longitude and Latitude of two places, to know how farre they are distant one from the other.
    • PROPOSITION 4. Knowing the longitude and latitude of the place from whence you came; the Rumbe you have sailed upon; and how farre you have sayled there on: to know the longitude and latitude of the place where you are, at that present.
    • PROPOSITION 5. Knowing the longitude and latitude of the place, from whence you set sayl: together with the Rumbe you have sayled upon; and by observation knowing the latitude of the place you are in: to know thereby the longitude of this place, and how farre it is di∣stant from the place you came.
    • PROPOSITION 6. How to rectifie your account, when your dead reckoning differs from your account by observation.
    • PROPOSITION 7. Being to sayl from one place to another, but by reason of crosse winds, or the coastings of the land, you cannot sail thither upon the di∣rect point of the compasse which lies between the two places, but are forced to alter your course severall times: yet how you should keep your account of your way, so that you may know at any time what longitude and latitude you are in, and how the place you are bound to bears from you, and how farr you want to it.
    • PROPOSITION 8. How to know the distance of any Cape, Headland, or Island, from you, which you can see at two distant places.
    • PROPOSITION 9. By observing upon what Rumbes many places lye from you at two severall stations; to finde the distances of those places, and their true posture and bearing one from another.
    • PROPOSITION 10. To draw a Rumbe line from any point assigned.
  • CHAP. IIII. Shewing how to make a Sea-chart for any part of the World, which shall agree in all particulars with the Globe; with severall Propositions shew∣ing the manner of using it.
    • PROPOSITION 1. Knowing the longitude and latitude of any place, to set it upon the Chart.
    • PROPOSITION 2. The longitudes and latitudes of two places being known, to finde the rumbe which you must saile upon, to go directly from the one place to the other.
    • PROPOSITION 3. Knowing the longitudes and latitudes of two places to know how farre they are distant one from another.
    • PROPOSITION 4. Knowing the longitude and latitude of the place from whence you came, and the rumbe you have sayled upon, and how farre you have sailed on that rumbe: to know the longitude and la∣titude of the place you are in.
    • PROPOSITION 5. Knowing the longitude and latitude of the place from whence you set sail, together with the rumbe you have sayled upon, and by observation knowing the latitude of the place you are in: to know thereby the longitude of this place you are in, and how farre you are distant from the place you came.
    • PROPOSITION 6. The rectifying of your dead reckoning, by your observation.
    • PROPOSITION 7.
    • PROPOSITION 8 & 9.
  • CHAP. V. Of sayling by a great Circle.
  • CHAP. VI. Shewing some observations which may be of use in all these three kinds of sayling.
  • CHAP VII. Of sayling by a great Circle.
  • CHAP. VIII. How to keep a perfect account.