The making, description, and vse of a small portable instrument for ye pocket (or according to any magnitude) in forme of a mixt trapezia thus called a horizontall quadrant composed and prodused soly for the benefit and vse of such which are studious of mathematicall practice Written and delivered by Delamain, student and teacher of the mathematickes.

Title

The making, description, and vse of a small portable instrument for ye pocket (or according to any magnitude) in forme of a mixt trapezia thus called a horizontall quadrant composed and prodused soly for the benefit and vse of such which are studious of mathematicall practice Written and delivered by Delamain, student and teacher of the mathematickes.

Author

Delamain, Richard, fl. 1631.

Publication

London :: Printed [by Thomas Cotes] for Richard Hawkins and are to be sold at his shop in Chancery lane neere Sarjants Inne,

1632.

Rights/Permissions

To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.

Subject terms

Quadrant -- Early works to 1800.

Surveying -- Early works to 1800.

Link to this Item

https://name.umdl.umich.edu/A20104.0001.001 content_copy

Cite this Item

"The making, description, and vse of a small portable instrument for ye pocket (or according to any magnitude) in forme of a mixt trapezia thus called a horizontall quadrant composed and prodused soly for the benefit and vse of such which are studious of mathematicall practice Written and delivered by Delamain, student and teacher of the mathematickes." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A20104.0001.001. University of Michigan Library Digital Collections. Accessed May 18, 2025. content_copy

Contents

• illustration
• engraved title page
• TO The right Honorable and his much honoured Lo. Thomas Lo. Brudenel, Baron of Stauton.
• To the Reader.
• An Index, or Table of the vses of the Horizontall Quadrant.
• author's note
• The Tables for making of the Horizon
• text
  • Of the Making of the Horizontall Quadrant by the Sector.
    • 1. How to de∣scribe the Parallels.
    • 2. To de∣scribe rhe houre lines
    • 3 To de∣scribe and divide the Eclipticke
  • Of the making of the Horizontall Quadrant Geometrically.
    • section - 1
    • section - 2
    • 3. To describe and divide the Eclip∣ticke.
  • 3. By my Ring it may bee o∣therwise projected: In which it exceeds any Instrument whatsoever for facility, and expedition, for where there is many proportionals required in any service, there the use of the Ring is most excel∣lently made manifest, they being instantly de∣clared at once, which in some sort I have deli∣vered in the use of my Appendix upon plaine Triangles, or it may be drawne from that of Proportionating the Fort, to the Fort, or the Building, to the Building, Pag. the 2. and 3.
  • How to graduate the Index for the Instrument.
  • The Description of the Hori∣zontall Quadrant.
  • Of the Vses of the Horizontall Quadrant, speci∣fied in the Index or Table, formerly delivered.
    • section
      • First, to finde the time of Sunne rising, or setting, and length of the day, for any day of the yeere.
      • Secondly, to finde the difference of Ascention, for any day of the yeere.
      • Thirdly, to finde the Sunnes de∣clination for any day.
      • Fourthly, to finde what dayes in the yeare are alike in length, and what day the Sunne rising in the one, shall be the Sunne setting in the other.
        • For the second, to finde what day the sunne rising in the one, shall be the sunne setting in the other.
      • Fiftly, to finde the sunnes place, or degree, for any day of the yeere.
      • Sixtly, to finde the Sunnes right ascention, and oblique ascention at any time.
        • To find the Sunnes Oblique Ascention at any time.
      • Seventhly, to find the suns Alti∣tude, and houre of the suns com∣ming East, or West, any day of the yeare above the Horizon.
      • Eightly, to find the distance of the suns rising, or setting, any day of the yeare, from the East, or West, called the suns Amplitude.
      • Ninthly, to know the suns Me∣ridionall Altitude, or the suns depression under the Horizon, at Midnight here, or in any Lati∣tude, for any day in the yeare.
      • Tenthly, to finde the time of day∣breake, and end of twy-light, with the Position of the sunne under the Horizon for any time.
      • Eleventhly, to finde the inequal∣litie of time, betweene day breake and Sun rising, for any day of the yeare assigned.
      • Twelfely to finde the houre, and Altitude of the sunnes comming upon a Declining wall any day of the yeare.
      • Thirteenthly, to finde at what houre, and Altitude the sun must have to be opposite, or perpendicu∣lar to a declining Plaine, any day in the yeere.
    • section
      • First, to finde the Proportion of shadowes to their Altitudes at any time.
      • Secondly, to finde what proporti∣on shadowes have to their bodies at any houre in the day, Azimuth, or Altitude of the Sun asigned.
      • Thirdly to finde the houre of the day agreeable to any Altitude or Azimuth, for any day of the yeare Proposed.
        • For the second, to finde the houre of the day agreeable to any Azimuth.
      • Fourthly, to finde the suns depres∣sion, & position under the Hori∣zon, at any houre of the night, with the houre of the day to our Antipo∣des, by supposing the sun any num∣ber of degrees under the Horizon.
      • Fiftly, to finde the houre of the day to our Antipodes, by sup∣posing the suns depression under the Horizon.
      • Sixtly, to finde at what houre in any day, the suns Azimuch and Altitude will be equall, and how much the Altitude and Azimuth will be.
      • Seventhly, to finde what number of dayes any time of the yeare, will make the day an houre longer or shorter.
      • Eightly, to finde the inequalitie of time, in equall Mounthes or equall number of dayes.
      • Ninthly, to finde the degree of the Aequator in the Horizon, by suppossing the degree of the Eclipticke in the Horizon.
      • Tenthly, to finde the degree of the Eclipticke in the Horizon by supposing the degree of the Aequator in the Horizon.
      • Eleventhly, to finde the degree of Medium Coeli, or the degree of the Eclipticke in the Meridian, by supp sing any degree of the Eclipticke in the Horizon.
        • But if the degree of the Eclipticke in the Horizon were required by knowing the degree of the in Eclipticke the Meridian.
      • Twelfthly, to finde the Horoscope or the degree Ascendant, or de∣scendant and the Nona∣gessima degree at any houre.
      • Thirteenthly, to finde what Angle the Eclipticke makes with the Horizon, or the Altitude of the Nonagessima degree of the Eclipticke, above the Horizon, and what Azi∣muth it is in at any houre.
    • section
      • First, how to obserue the Sun, or starres Altitude above the Horizon at any time.
      • Secondly, how to finde the houre of the day, and Azimuth of the Sun, upon any appea∣rance of the Sunne.
      • Thirdly, how to finde the Meridi∣an line, and the true points of North, & South, East, and West upon any appearance of the Sunne.
      • Fourthly, how to finde the sit of a Building, or Costing of a place.
      • Fiftly, to finde the suns Azimuth, and houre without observation.
      • Sixtly, to finde the variation of the needle.
      • Seventhly, to finde the Latitude of a place, or the Poles hight above the Horizon.
      • Eightly, to finde the suns Azimuth and Altitude for any houre.
      • Ninthly, to shew the uncertain∣tie of time, by noting the shadow of things.
      • Tenthly, to finde the Quarter of the yeare, and day of the month, if it were forgotten.
      • Eleuenthly, to finde the houre of the day, the Azimuth and Alti∣tude of the Sun, with the Meridi∣onall line without obseruation, or sight of the sun, by knowing the proportion betweene the length of a shadow upon a Horizontal Plaine, and that which cast the shadow.
      • Twelfthly, to finde the Declinati∣on of a Wall; by seeing the sun beginning to shine thereon, or going from it.
      • Thirteenthly, to finde the Decli∣nation of a Plaine, upon any appearance of the Sunne.
    • section
      • First in any night, to finde at what houre and Altitude, any of the aforesaid starres will be in the Meridian.
      • Secondly, to know at any day, at what houre any of the starres (in∣scribed on the Instrument) ri∣seth or setteth, with their time of continuance above the Horizon, & in what part of the hemispheare, they may be seene, with their Azimuth, and Alti∣tude at any houre.
      • Thirdly, to find in any night of the yeare, in what part of the Horizon any of the starres on the instru∣ment riseth or setteth, and at what houre, and Alti∣tude a starre will be due East, or West.
      • Fourthly, upon the sight or appea∣rance of any of the aforesaid stars, to finde the Azimuth there∣of, and the houre of the night.
    • section
      • First, how to obserue or finde the measure of an Angle, or take the distance of two starres by the Instrument.
      • Secondly, how to measure distan∣ces, and Breadths.
      • Thirdly, how to take the Circuite of a figure, or the surueigh of a Place.
      • Fourthly, how to finde the Incli∣nation of a Plaine, or to Elevate a Plaine unto an Angle assigned, and to Place a Plaine Horizon∣tall.
      • Fiftly, to finde whether an Alti∣tude be in the Point of libration, or above, or below the levell of the eye, and how much.
      • Sixtly, how to finde the height of an Altitude above the levell of of the eye, either Accessible, or inaccessible.
      • Seventhly, to measure any part of an Altitude which is not approachable.
  • Conclusion.
• illustration