astrolabe.pdf

  • Upload
    raraira

  • View
    214

  • Download
    0

Embed Size (px)

Citation preview

  • 8/10/2019 astrolabe.pdf

    1/7

    Building a Model Astrolabe

    Dominic Ford

    37 Coleridge Road, Cambridge, CB1 3PH.

    October 2010

    This document describes the electronic file archive which accompanies theauthors paper of the same title in the Journal of the British AstronomicalAssociation. It also contains images of all of the components which need to be

    printed out to build a model astrolabe tailored for a latitude of 52

    N

    2

    . Theastrolabe presented in this document is a slightly modernised version of thatdescribed in Geoffrey Chaucers c. 1391 Treatise on the Astrolabe, and has beenconstructed following a prescription similar to that described in Eisner (1975,1976a, 1976b).

    The images and text in this document may be duplicated, redistributedand/or modified under the terms of the GNU General Public License as pub-lished by the Free Software Foundation; either version 2 of the License, or (atyour option) any later version. The only restriction placed on the duplicationof this document is that the copyright notices must remain intact.

    This document can be downloaded from the British Astronomical Associa-tion website, at

    http://www.britastro.org/astrolabe, or from

    http://dcford.org.uk/astrolabe/index.html (index page),

    and the accompanying files may be downloaded from

    http://dcford.org.uk/astrolabe/astrolabe.zip(zip archive).

    Assembly Instructions

    To build a model astrolabe tailored for a latitude of 52N , Figures1,2and3should be printed out onto paper, or more preferably onto thin card. Figure4should be printed onto a sheet of transparent acetate. The two sides of themother(Figures 1and2) should be glued rigidly back-to-back, perhaps sand-wiching a piece of rigid card. The rete, printed onto transparent acetate3, should

    be placed over the climate, which for simplicity is incorporated into the front ofthe mother in this document.

    The rule and the alidade should be placed on either side of the astrolabe:the rule, marked out with a declination scale, should rotate over the front of themother; the alidade should rotate over the back of the mother. The two tabs onthe side of the alidade should be folded out to form a sight used for measuring

    2Alternative versions of this document prepared for other latitudes are available from the

    authors website: http://dcford.org.uk/astrolabe/index.html3Historically, the rete would have been made of the same material as the rest of the

    astrolabe and marked with arrows showing the positions of prominent stars. As much of the

    material of the rete as possible would then have been cut away to allow the climate below

    to be seen. We use transparent plastic here because it is so much more practical than the

    traditional form of rete.

    http://www.britastro.org/astrolabehttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/astrolabe.ziphttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/astrolabe.ziphttp://dcford.org.uk/astrolabe/index.htmlhttp://www.britastro.org/astrolabe
  • 8/10/2019 astrolabe.pdf

    2/7

    BUILDING A MODEL ASTROLABE 2

    the altitudes of celestial and terrestrial objects. The whole construction maythen finally be fastened together by placing a split-pin paper fastener throughthe centre.

    Astrolabes for Other Latitudes

    The components needed to build astrolabes tailored for latitudes other than52N can be found in the accompanying electronic file archive, which can bedownloaded from the British Astronomical Association website, at

    http://www.britastro.org/astrolabe, or from the authors website at

    http://dcford.org.uk/astrolabe/index.html(index page) or

    http://dcford.org.uk/astrolabe/astrolabe.zip(zip archive).

    The simplest option is to use an alternative version of this document preparedfor another latitudes; these are stored in the astrolabes folder of the archive.

    Alternatively, individual images of the various parts of the astrolabe modelare stored in the astrolabe partsfolder of the archive, and each is available inPDF format, or as a GIF bitmap image (.gif). If these are used, then all of therequired components must be printed at exactly the same scale in order to be ofconsistent sizes when fitted together. For example, the option to enlarge eachof the PDF documents to fit the page size must notbe selected in the printersetup options in Adobe Acrobat Reader, and the GIF images must be printedat a common dots-per-inch resolution.

    For latitudes in the northern hemisphere, the following imagesastrolabe partsfolder should be printed:

    mother back.??? The back of the mother of the astrolabe. This imagealso appears in Figure1, and is not latitude dependent.

    mother front north.??? The front of the mother of a northern-hemi-sphere astrolabe. Note that, in contrast to Figure2,the rete is not incor-porated into the mother here. The hours advance clockwise around theedge of the mother.

    rule north.??? The rule and the alidade of a northern-hemisphereastrolabe.

    rete north.??? The rete of a northern-hemisphere astrolabe.

    climate xxN.??? The climate of the astrolabe, customised to the re-quired latitude xxN.

    For latitudes in the southern hemisphere, the following images should beprinted. Note that a different rete is required, showing the southern sky, andthat the declination scale on the rule also changes sign:

    mother back.??? The back of the mother of the astrolabe. This imagealso appears in Figure1, and is not latitude dependent.

    mother front south.??? The front of the mother of a southern-hemi-sphere astrolabe. Note that, in contrast to Figure2,the rete is not incor-porated into the mother here. The hours advance anticlockwise aroundthe edge of the mother.

    rule south.??? The rule and the alidade of a southern-hemisphere

    astrolabe.

    c 2010 Dominic Ford. Distributed under the GNU General Public License,

    version 2. Document downloaded from http://dcford.org.uk/astrolabe/index.html

    http://www.britastro.org/astrolabehttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/astrolabe.ziphttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/astrolabe.ziphttp://dcford.org.uk/astrolabe/index.htmlhttp://www.britastro.org/astrolabe
  • 8/10/2019 astrolabe.pdf

    3/7

    BUILDING A MODEL ASTROLABE 3

    rete south.??? The rete of a southern-hemisphere astrolabe.

    climate xxS.??? The climate of the astrolabe, customised to the re-quired latitude xxS.

    Customised Astrolabes

    The astrolabe images presented here were produced using PyXPlot, an open-source vector graphics scripting language developed by the same author. PyX-Plot has a website4 with extensive documentation, and is available as a standardpackage in a number of Linux distributions including Ubuntu, Debian and Gen-too. Unfortunately, it is not available for Microsoft Windows at the presenttime.

    The PyXPlot scripts used to generate the images in this document are in-cluded in the accompanying file archive and may be modified to generate cus-

    tomised astrolabes. For example, to produce an astrolabe with your own choiceof saints days or birthdays on the back of the mother, the file RawData/Saints-Days.datshould be modified. A Makefileis included which rebuilds all of theimage files shipped in the astrolabe parts folder.

    References

    [1] Ford, D.C., J. Brit. astr. Ass., 131(1), 33 (2012).

    [2] Chaucer, G., Treatise on the Astrolabe, in The Riverside Chaucer, ed. L.D.Benson (Boston, 1987)

    [3] Eisner, S., J. Brit. astr. Ass., 86(1), 18-29 (1975)

    [4] Eisner, S., J. Brit. astr. Ass., 86(2), 125-132 (1976a)

    [5] Eisner, S., J. Brit. astr. Ass., 86(3), 219-227 (1976b)

    4

    http://www.pyxplot.org.uk

    c 2010 Dominic Ford. Distributed under the GNU General Public License,

    version 2. Document downloaded from http://dcford.org.uk/astrolabe/index.html

    http://www.pyxplot.org.uk/http://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://www.pyxplot.org.uk/
  • 8/10/2019 astrolabe.pdf

    4/7

    http://dcford.org.uk/astrolabe/index.html
  • 8/10/2019 astrolabe.pdf

    5/7

    BUILDING A MODEL ASTROLABE 5

    1

    0

    20

    30

    40

    50

    60

    7080 90 80

    70

    60

    50

    40

    30

    20

    10

    0

    1

    0

    20

    30

    40

    50

    60

    7080

    908070

    60

    50

    40

    30

    20

    10

    A

    B

    C

    D

    E

    F

    G

    H

    I

    K

    LMN

    O

    P

    Q

    R

    S

    T

    U

    X

    Y

    Z

    00

    10

    10

    20

    30

    40

    50

    60

    70

    80

    NNW

    SSE

    NW

    SE

    WNW

    ESE

    WE

    WSW

    ENE

    SW

    NE

    SSW

    NNE N

    I

    II

    III

    IV

    V

    VIVII

    VIII

    IX

    X

    X

    I

    XII

    http://dcford.org.uk/astrolabe/inde

    x.htm

    l

    c Dominic Ford 2010

    Climate prepared for latitude 5

    2N

    Figure 2: The front of the mother of the astrolabe, with combined climate.Should a climate for a different latitude be required, the accompanying filearchive should be downloaded. This includes alternative versions of this docu-ment for any latitude on the Earth at 5 intervals.

    c 2010 Dominic Ford. Distributed under the GNU General Public License,

    version 2. Document downloaded from http://dcford.org.uk/astrolabe/index.html

    http://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.html
  • 8/10/2019 astrolabe.pdf

    6/7

    BUILDING A MODEL ASTROLABE 6

    (a) Rule (b) Alidade

    20

    20

    10

    10

    0

    0

    1

    0

    10

    20

    20

    30

    30

    40

    40

    50

    5

    0

    60

    60

    70

    70

    20

    20

    35

    35

    50

    50

    80

    80

    Figure 3: Left: The rule, which should be mounted on the front of the astrolabe.Right: The alidade, which should be mounted on the back of the astrolabe.

    c 2010 Dominic Ford. Distributed under the GNU General Public License,

    version 2. Document downloaded from http://dcford.org.uk/astrolabe/index.html

    http://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.html
  • 8/10/2019 astrolabe.pdf

    7/7

    BUILDING A MODEL ASTROLABE 7

    0h

    1h

    2h

    3h

    4h

    5h

    6h7

    h

    8h

    9h

    10h

    11h

    12h

    13

    h

    14 h

    15h

    16h

    17h18

    h 19h

    20h

    21h

    22h

    2

    3h

    ARIE

    S

    TAUR

    USGEM

    INICANCERLEO

    VIR

    GO

    LIBRA

    SCORPIO

    SAGITTARIUS CAPRICO

    RNUS

    AQU

    ARIU

    S

    PISCES

    Figure 4: The rete of the astrolabe, showing the stars of the night sky. Thisshould be printed onto a piece of transparent plastic; most stationers should beable to provide acetate sheets for use on overhead projectors, which are idealfor this purpose.

    c 2010 Dominic Ford. Distributed under the GNU General Public License,

    version 2. Document downloaded from http://dcford.org.uk/astrolabe/index.html

    http://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.htmlhttp://dcford.org.uk/astrolabe/index.html