## Academic Trigonometry: Plane and Spherical |

### From inside the book

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Page 24

... sine , с n B m a sin B = p = b sin A. .. a : b = sin A : sin B. Law of ... one - half the sum of the opposite angles is to the

... sine , с n B m a sin B = p = b sin A. .. a : b = sin A : sin B. Law of ... one - half the sum of the opposite angles is to the

**tangent of one - half**... Sines . In any spherical triangle 24 ACADEMIC TRIGONOMETRY . Page 26

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**cos A**= a2 − ( b2 + c2 ) b2 + c2 — a2 - = - - 2 bc 2 bc PROBLEM . To substitute this value in**1**±**cos A**,**and**thus find the functions of the**half**...**sine**of**half an**angle of**a**plane triangle is equal to the**square**root of**half**the sum of ... Page 27

... HALF ANGLES . Spherical . By law of cosines , cos a cos b cos c - sin b sin c As in Plane , 1 cos A = sin b sin c + ... one - half of either angle of a spheri- cal triangle is equal to the square root of the

... HALF ANGLES . Spherical . By law of cosines , cos a cos b cos c - sin b sin c As in Plane , 1 cos A = sin b sin c + ... one - half of either angle of a spheri- cal triangle is equal to the square root of the

**sine of one - half**of the sum of ... Page 30

Plane and Spherical Thomas Marcus Blakslee. THEOREM 2. The

Plane and Spherical Thomas Marcus Blakslee. THEOREM 2. The

**cosine of one - half**the sum of either two sides of any ...**sine of one - half**the sum of either two angles of any spherical triangle is to the**sine of one - half**their differ ...### Other editions - View all

### Common terms and phrases

35 cents 40 cents 80 Lotze's Outlines acute angle Algebra analogy Analytic Geometry Arithmetic BOSTON Calculus circle Cloth Copies sent cos(a cos² cosine of one-half cot H distance ecliptic Equations Examination Manual Exercise Manual functions GAUSS EQUATIONS GINN & COMPANY Greek HALF ANGLES Half morocco hypotenuse Introduction Price Lafayette College Latin Grammar law of cosines law of sines Law of Tangents Lexicon Logarithms Mailing Price Mathe matics morocco Napier's one-half the sum one-half their difference Plane and Spherical Plane Trigonometry problems Prof Professor of Mathematics Pythagorean QUADRANTAL TRIANGLES radius receipt of Introduction Right ascension right triangles sent to Teachers Shakespeare sin b sin sin(s sin² sine and cosine sine of one-half Solid Geometry spherical triangle Spherical Trigonometry Surveying Syllabus T. M. BLAKSLEE Tables tangent of one-half Teachers for Examination THEOREM Trig view to Introduction Wentworth & Hill's

### Popular passages

Page 25 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...

Page 25 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...