The description and use of a joynt-rule fitted with lines for the finding the hour of the day and azimuth of the sun, to any particular latitude, or, to apply the same generally to any latitude : together with all the uses of Gunters quadrant applyed thereunto ... / contriv'd & written by J. Brown, philomath.

Title

The description and use of a joynt-rule fitted with lines for the finding the hour of the day and azimuth of the sun, to any particular latitude, or, to apply the same generally to any latitude : together with all the uses of Gunters quadrant applyed thereunto ... / contriv'd & written by J. Brown, philomath.

Author

Brown, John, philomath.

Publication

London :: Printed by T.J. for J. Brown and H. Sutton, and sold at their houses,

1661.

Rights/Permissions

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Subject terms

Quadrant.

Dialing.

Mathematical instruments.

Link to this Item

https://name.umdl.umich.edu/A29756.0001.001 content_copy

Cite this Item

"The description and use of a joynt-rule fitted with lines for the finding the hour of the day and azimuth of the sun, to any particular latitude, or, to apply the same generally to any latitude : together with all the uses of Gunters quadrant applyed thereunto ... / contriv'd & written by J. Brown, philomath." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A29756.0001.001. University of Michigan Library Digital Collections. Accessed June 12, 2024. content_copy

Contents

• title page
• TO THE READER.
• A TABLE of the things contained in this BOOK.
• The right Ascension and Declination of 12 principal fixed Stars in the heavens; most of which are inserted on the Rule: or if room will allow, all of them.
• THE Description and Use OF A JOYNT-RULE.
  • CHAP. I.
  • CHAP II.
    • 1. To Rectifie or set the Rule to his true Angle.
    • 2. To finde the Suns Altitude at any time.
    • 3. Having found the Suns altitude, and the day of the moneth, to finde the hour of the day.
      • Example on the 2. of July.
    • 4. To finde the Suns rising any day in the year.
    • 5. To finde if any place lye level, or nor.
    • 6. To try if any thing be upright or not.
  • CHAP. III.
  • CHAP. IV.
    • 1. To finde the Suns Declination.
      • Example:
    • 3. To finde the Suns right Ascension in hours and minutes.
      • Example.
    • 4. To finde the Suns Amplitude at rising or setting.
  • CHAP. V.
    • Example 1.
    • Example 2.
    • Example 3.
  • CHAP. VI.
    • PROP. 1.
      • Example.
    • PROP. 2.
      • Example.
    • PROP. 3.
      • Example.
    • PROP. 4.
      • Example.
  • CHAP. VII.
    • Example.
      • part
      • Again May 15 by Arcturus, at 50 0' high westwards.
      • Again January 5. by the Great-dog at 15 degrees high east.
    • Example.
  • CHAP. VIII.
    • To finde the Amplitude or Azimuth of the fixed Stars; also their rising, setting, and southing.
      • Example.
    • part - 2
      • Example.
    • part - 3
      • Example.
    • part - 4
      • Example.
    • 5. To finde how long any Star will be above the Horizon.
      • Example.
  • CHAP. IX.
    • To perform the fore-going work in any latitude, as rising, amplitude, ascen∣sional difference, latitude, hour, and azimuth, wherein I shall give onely the rule, and leave out the examples for brevity sake.
    • 2. To finde the Suns amplitude.
    • 3. Having amplitude and declina∣tion, to finde the latitude.
    • 4. Having latitude, Suns declination and altitude, to find the height at 6, and then at any other time of the day and year.
      • Prop. 1. To finde the hour in the Aequinoctial.
      • Prop. 2. To finde it at just 6.
      • Prop. 3. To finde it at any time do thus.
        • Example.
      • Having latitude, delination, and alti∣tude, to finde the Suns Azimuth.
    • 6. But in winter you must do thus:
      • Example.
  • CHAP. X.
    • 1. First a particular for the Substile.
      • Example.
    • 2. For the height of the stile above the substile.
      • Example.
    • 3. For the inclination of Meridians:
      • Example.
    • 4. To finde the Angle of 6 from 12.
      • Example.
    • 5. To perform the same generally by the general scale of altitudes; and first for the stile.
    • 6. To finde the inclination of Meridians
    • 7. For the substile,
    • 8. For the angle of 6 from 12.
      • Four Canons to work the same by the artificial sines & tangents.
      • Stiles Elevation.
      • Substile from 12.
      • For 6 and 12.
      • For the hours.
  • CHAP. XI.
  • CHAP. XII.
  • CHAP. XII.
  • CHAP. XIII.
    • And first by the needle because the easiest.
      • Take an Example.
    • To finde a Declination by the Sun.
  • CHAP. XIV.
    • Another way to perform this Geometri∣cally for all erect Dyals with centers.
  • CHAP. XV
    • An Advertisement relating to Dialling.
  • CHAP. XVI
    • Example at one station.
    • An example at two stations.
    • To perform the same by the line of sines, drawn from the center on the flat-side, and the line of lines, or equal parts or inches in ten parts.
      • Example as before.
  • CHAP. XVII.
    • The use of certain lines for the mensu∣ration of superficial and solid bodies, usually inserted on Ioynt-Rules for the use of Work-men, of several sorts and kindes.
    • 2. The use of the lines of decimal Tim∣ber and Board measure.
      • Example.
    • 3. The use of decimal Timber mea∣sure.
      • Example.
    • 5. The use of the line of decimal yard measure, also running yard measure, ac∣cording to the inches or decimal parts of a foot.
      • Example.
      • Example.
    • 7. The use of the line of decimal round measure, commonly called Girt-mea∣sure, which is when the circumference of a round Cillender, or piller given in inches or ten parts of a foot.
    • 8. The use of a line of solid measure, by having the Diameter of a round piece given in inches, or foot measure.
    • The use of four scales, called Circum∣fence, Diameter, Square equal, Square inscribed.
      • Example.
      • The use of the line to divide a circle into any number of parts.
  • CHAP XVIII.
    • The use of Mr. Whites rule, for the measuring of Timber and Board, either by inches or foot measure.
      • Example.
    • 2. The breadth being given in inches, to finde how many inches in length goes to make a foot of board or flat measure.
      • Example.
    • 3. To work multiplication on the siding, or Whites rule.
      • Example.
    • 4. To work division on the same rule.
      • Example.
    • 3. To work the rule of 3 direct.
      • Example.
    • To work the rule of 3 reverse.
      • Example.
    • 6. To work the double rule of 3 direct.
    • The use of Mr. Whites rule in measu∣ring Timber round, or square, the square or girt being given in inches, and the length in feet and inches.
  • CHAP. XIX.
    • PROP. 1.
      • Or else thus:
    • PROP. 2.
    • PROP. 3.
      • Example.
    • PROP. 4.
      • Example.
    • PROP. 5.
    • PROP. 6.
      • Example.
    • PROP. 7.
      • Example.
    • PROP. 8.
    • PROP. 9.
    • PROP. 10.
    • PROP. 11.
    • PROP. 12.
    • PROP. 13.
    • PROP. 14.
    • PROP. 15.
    • PROP. 16.
    • PROP. 17.
    • PROP. 18.
  • CHAP. XX.
    • The uses of the lines follow.
      • Example.
    • PROP. 1.
      • Then in the second Operation.
    • PROP. 2.
    • The Latitude and Declination given, to finde the Suns height at 6 a clock, Dec. 23. 31. Lat. 51. 32.
    • PROP. 3.
    • PROP. 4.
    • Two other Canons to finde the hour of the day, and Azimuth of the Sun, by one operation, by help of the na∣tural sines: and first for the hour.
      • Example.
    • Having the latitude, declination, and Suns altitude, to finde the Azimuth from South or North.
      • Example.
    • PROP 4.
    • As the Radius or sine of 90, to the co∣sine of the latitude 51. 32: so is the sine of the Suns distance from 6 (in hours and minutes, being turned into degrees and minutes 30, for 8. or 4,)
    • PROP. 6.
    • PROP. 7.
    • PROP. 8.
    • PROP. 9,
    • PROP. 10.
    • PROP. 11.
    • PROP. 12.
    • PROP. 13.
    • PROR. 14.
    • PROP. 15.
    • PROP. 16.
    • The Use of the Almanack.
      • To find the day of the Month.
        • Example. About the middle of March 1661 on a Friday, what day of the month is it?
• ERRATA.