## Academic Trigonometry: Plane and Spherical |

### From inside the book

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Page 8

... angle is in the quadrant in which it terminates . * The angle being the direction of its terminus , we may speak of the ratios as direction ratios . Since for the other

... angle is in the quadrant in which it terminates . * The angle being the direction of its terminus , we may speak of the ratios as direction ratios . Since for the other

**acute angle**of ratio triangle , a a sin = COS = and tan = cotangent ... Page 14

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**acute angle**be added to or subtracted from an even number of quadrants , the functions of the resulting angle are equal arithmetically in value to the like - named functions of the**acute angle**; but if an**acute angle**be added to or ... Page 15

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**angles**, one rotation changes sine to cosine , two restores , and so on ...**acute**edge VA , thus : Draw BHVH , then HA VA , lastly join AB . ( By Geom ...**angle**, the complements of the opposite**angles**, and the complement of the ...### 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 cosē 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 sinē 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...