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" Prove that the problem, to describe a circle with its centre on the circumference of a given circle so that the length of the arc intercepted within the given circle shall he a maximum, is reducible to the solution of the equation 0 = cot 0. "
The Principles of Fluxions: Designed for the Use of Students in the University - 29 ページ
Samuel Vince 著 - 1812 - 256 ページ
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The Quarterly Review, 第 5 巻

William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, John Murray, Rowland Edmund Prothero (Baron Ernle), George Walter Prothero - 1811 - 568 ページ
...problem, -given in Phil. Transac. No. 224. The solution of the problem in which it is required ' to find when that part of the equation of time which arises...from the obliquity of the ecliptic, is a maximum,' is correct : but has the disadvantage of not beingjlujcional. Were it not that Mr. Dealtry has declined...

The Principles of Fluxions: Designed for the Use of Students in the Universities

William Dealtry - 1816 - 492 ページ
...2b + (4¿* - Зм') а = PROB. 45. The Sun being supposed to move uniformly in the ediptic ; to find when that part of the equation of time, which arises...from the obliquity of the ecliptic, is a maximum. Let QQ represent the equinoctial, EL the ecliptic, A the first point of Aries, PLQ the solstitial colure....

An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 ページ
...because the son passes through ihe southern signs sooner than the northern. PROBLEM XXXII. To find that part of the equation of time which arises from the obliquity of the ecliptic, day and month being given.* Bring the sun's place to the meridian and fix the globe, reckon the number...

Solutions of the Cambridge Problems: From 1800 to 1820, 第 2 巻

John Martin Frederick Wright - 1825 - 798 ページ
...year introduced by Julius Caesar and Pope Gregory. 18. Give the theory of the Trade Winds. 19. Prove that part of the equation of time which arises from the obliquity of the ecliptic to be a maximum when the longitude of the Sun equals the complement of its right ascension. 20. Compare...

Elements of Plane Astronomy

John BRINKLEY (Bishop of Cloyne.) - 1836 - 334 ページ
...301) the observation should be made on or near the I prime vertical. „ Prop. XIV. To find when the part of the equation of time, which arises from the obliquity of the ecliptic to the equator, is a maximum. If the sun moved equably in the ecliptic, the difference between its...

Practical and Spherical Astronomy: For the Use Chiefly of Students in the ...

Robert Main - 1863 - 434 ページ
...vertical are determined by the equation h = a. + sin~1 (sin a tan I cot 8) . 72. When that part (E) of the equation of time, which arises from the obliquity of the ecliptic (w), is a maximum, 73. When Venus was very near conjunction it was observed that the bright visible...

An Elementary Treatise on the Differential Calculus: Containing the Theory ...

Benjamin Williamson - 1873 - 394 ページ
...с — Ь is a maximum when с -t- b — 90°. This problem occurs in Astronomy, in finding when the part of the equation of time which arises from the obliquity of the ecliptic is a maximum. 21. Prove that the problem, to describe a circle with its centre on the circumference of a given circle...

An Elementary Treatise on the Differential Calculus: Containing the Theory ...

Benjamin Williamson - 1873 - 406 ページ
...and hence e - b is a maximum when c + 4 = 90°. This problem occurs in Astronomy, in finding when the part of the equation of time which arises from the obliquity of the ecliptic is a maximum. 2i. Prove that the problem, to describe a circle with its centre on the circumference of a given circle...

An Elementary Treatise on the Differential Calculus: Containing the Theory ...

Benjamin Williamson - 1889 - 508 ページ
...hence a — t is a maximum when c + b = 90°. This problem occurs in Astronomy, in finding when the part of the equation of time which arises from the obliquity of the ecliptic ia a maximum. 21. Prove that the problem, to describe a circle with its centre on the circumference...

Dublin examination papers

Dublin city, univ - 1865 - 348 ページ
...between ; and determine the correction arising from the ship's change of place. 1 8. Find when the part of the equation of time, which arises from the obliquity of the ecliptic, is a maximum. MAT. DR. AFJOHN. 1. If two metallic bars have the same length of temperature, t, and that at a higher...




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