# Plane and Spherical Trigonometry (Google eBook)

Ginn & Company, 1887

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Page 142 - For (Fig. 46) the angle ZOB between the zenith of the observer and the celestial equator is obviously equal to his latitude, and the angle POZ is the complement of ZOB. The arc NP being the complement of PZ, it follows that the altitude of the elevated pole is equal to the latitude of the place of observation. The triangle ZPM then (however much it may vary in shape for different positions of the star M ), always contains the following five magnitudes : PZ— co-latitude of observer = 90°...
Page 66 - A Solar Day is the interval of time between two successive transits of the sun over the same meridian; and the hour-angle of the sun is called Solar Time.
Page 109 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 53 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Page 20 - Geometry that the area of a triangle is equal to one-half the product of the base by the altitude. Therefore, if a and b denote the legs of a right triangle, and F the area...
Page 100 - Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75° ; (ii.) sin 3 A in terms of sin A.
Page 52 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Page 23 - From the top of a hill the angles of depression of two objects situated in the...
Page 34 - ... is called the variation of the needle at that place, and is east or west, according as the north end of the needle lies on the east or west side of the true meridian.
Page 53 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum. NOTE. If in [27] 6 > a, then B > A. The formula is still true, but to avoid negative numbers the formula in this case should be written 6-q - tan i (B - A) b+a

### References from web pages

JSTOR: Plane and Spherical Trigonometry with Tables.
Plane and Spherical Trigonometry with Tables. By GEORGE WENTWORTH and DAVID EUGENE SMITH. Ginn and Co. 230+ 104 pages. \$1.35. The total content of this text ...

The Online Books Page: Plane and Spherical Trigonometry, by George ...
Plane and Spherical Trigonometry. Title: Plane and Spherical Trigonometry · Author: Wentworth, George, b. 1868 · Author: Smith, David Eugene, 1860-1944 ...
onlinebooks.library.upenn.edu/ webbin/ book/ lookupid?key=olbp36445

Review: G. Wentworth and de Smith, Plane and Spherical ...
G. Wentworth, de Smith, Plane and Spherical Trigonometry and Tables. Boston, Ginn and Company, 1914. 230 + 104 pp. Full-text: Access by subscription ...
projecteuclid.org/ handle/ euclid.bams/ 1183423919

Granville, William Anthony Plane and spherical trigonometry, ... Lyman, Elmer A. Plane and spherical trigonometry,; National Committee of fifteen on ...

Surveying Books 1800s
Loomis, Elias, Elements of Plane and Spherical Trigonometry, with their .... Wentworth, ga, Plane and Spherical Trigonometry, Surveying and Tables, (Boston, ...
www.surveyhistory.org/ surveying_books_1800s.htm

ITU - JEOFIZIK
Plane and spherical trigonometry and tables G. Wentworth and D. E Smith. Plane and spherical trigonometry and tables William Anthony Granville ...
www.geop.itu.edu.tr/ kitaplik/ books.html

Sebo do Messias :: Livro :: Plane and Spherical Trigonometry and ...
Plane and Spherical Trigonometry and Tables ga Wentworth R\$ 35,00. Seu pedido irá para o correio em até 24 horas. Comunicaremos por e-mail o nº do seu ...
www.sebodomessias.com.br/ Loja/ (S(13gmfc5551fqmo55qm0n0455))/ detalheproduto.aspx?idItem=66760

Earliest Known Uses of Some of the Words of Mathematics (L)
LAW OF COSINES is found in 1895 in Plane and spherical trigonometry, surveying and tables by George Albert Wentworth: "Law of Cosines. ...
members.aol.com/ jeff570/ l.html

Floyd Mathematics Textbooks: Indiana State University Library
Notes: The treatise on plane and spherical trigonometry is from Lacroix's ..... PLANE AND SPHERICAL TRIGONOMETRY. New York: The Macmillan Company, 1954. ...
jaguar.indstate.edu/ about/ units/ rbsc/ floyd/ math.html

The source of this uncorrected OCR text may be viewed in the djvu ...
Plane and Spherical Trigonometry; Loom is. TI-IIED TEEM—Latin :piautus Captivi, ... Plane and Spherical Trigonometry. Chemistry. WINTEE TEEM—Latin: Cicero's ...
fax.libs.uga.edu/ text/ aup05txt.txt