The Mathematics of the Heavens and the Earth: The Early History of Trigonometry by Glen Van Brummelen by Glen Van Brummelen

The Mathematics of the Heavens and the Earth: The Early History of Trigonometry by Glen Van Brummelen by Glen Van Brummelen

Author:Glen Van Brummelen [Brummelen, Glen Van]
Language: eng
Format: epub
ISBN: 9780691129730
Barnesnoble:
Goodreads: 5349500
Published: 2021-09-15T00:23:34+00:00


simply sin sin sin , and we have the declination .

sin 90o

sin 90o

sin

On E√ NQ apply (4.36); this gives

=

⋅

,98

sin

sin

sin 90o

which gives in turn the ortive amplitude .

On E√ NQ apply (4.36) but assign the arcs so that EM and MQ are in the ratio on the left side of the equation; this gives

sin 90o

sin 90o

cos

=

⋅

, which gives MQ. Its complement is

sin

cos

sin 90o

MQ

the equation of daylight, or ascensional difference, n = ME.

On NZ~√ apply (4.36) but assign the arcs so that ~ M and MZ are sin 90o

sin 90o

cos

in the ratio on the left side; this gives

=

⋅

,

o



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