A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.

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Title: A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.
Author: Moxon, Joseph, 1627-1691.
Publication: London :: Printed by Joseph Moxon ...,; 1659.
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: Astronomy -- Early works to 1800.; Globes -- Early works to 1800.; Sundials -- Early works to 1800.
Cite this Item: "A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A51553.0001.001. University of Michigan Library Digital Collections. Accessed May 21, 2024.

Pages

PROB. XXXVIII.

To find the Diurnal and Nocturnal Arch of the Sun, or Stars, in any given Latitude.

THe Semi-Diurnal Arch is the number of degrees of the E∣quator that passes through the Meridian whiles the Sun or

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any Star is ascending above the East side the Horizon to the Me∣ridian. To know the number of degrees it contains, Rectifie the Globe to the given Latitude, and bring the Place of the Sun or Star to the East side the Horizon, and note what number of de∣grees of the Equinoctial is then cut by the Meridian: Then re∣move the Place of the Sun or Star to the Meridian, and see again what number of degrees of the Equinoctial is then cut by the Meridian, and substract the former from the latter, and the remainder shall be the number of degrees of the Sun or Stars Semi-Diurnal Arch. But Note, If the Equinoctial point ♈ pass through the Meridian while the Sun or Star is turned from the East side the Horizon to the Meridian, then you must substract the number of degrees of the Equinoctial cut by the Meridian when the Sun or Star is at the East side the Horizon from 360. degrees, and to the remainder ad the num¦ber of degrees of the Equinoctial that comes to the Meridian with the Place of the Sun or Star, and the Sum of them both is the number of degrees of the Sun or Stars Semi-diurnal Arch; which being doubled is the number of degrees of the whole Di∣urnal Arch: and which being substracted from 360, given the Nocturnal Arch.

Example, of the Sun.

Having Rectified the Globe, I would May 10. know the Diurnal Arch of the Sun: His Place found by Prob. 3. is 8 29. Therefore I bring ♉ 29. to the Fast side the Horizon, and find then at the Meridian 299. degrees 30. min. of the Equi∣noctial; then I turn the Place of the Sun to the Meridian, and find 56. deg. 30. min. of the Equinoctial come to the Meridian with it. Here the Equinoctial point ♈ passes through the Me∣ridian while the Sun moves between the Horizon and the Meri∣dian; Therefore as aforesaid, I substract the first number of degrees and minutes viz. 299. deg. 30. min. from 360. degrees, and there remains 60▪ degr. 30. min. for the number of degrees and minutes contained between the degree of the Equinoctial at the Meridian and the Equinoctial point ♈; and to this 60. deg. 30. min. I ad the second number of degrees and minutes, viz. 56. deg. 30. min. the number of degrees and minutes between the point ♈ and the deg. of the Equinoctial at the Meridian, and they make together 117. degrees, for the Suns Semi diurnal

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Arch; By doubling of which, you have 234. degrees, for the Suns Diurnal Arch; And by substracting 234. (the Diurnal Arch) from 360. you have 126. degrees, for the Suns Noctur∣nal Arch.

Example, for a Star.

I take Sirius, a bright Star in the Great Dogs mouth. The Globe rectified, as before; I bring Sirius to the East side the Hori∣zon, and find then 29. degrees 30 minutes of the Equinoctial at the Meridian, then I turn Sirius to the Meridian and find 97. degrees 38 minutes of the Equinoctial come to the Meridian with it: Therefore I substract the first number viz. 29. degrees 30. minutes, from the second, 97. 38, and the remains is 68. de∣grees 8 minutes, for the Semi-diurnal Arch of Sir••us.

His Nocturnal Arch you may find as before.