Elements of Geometry and Trigonometry |
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Page 216
... sine and tangent of an arc S ' S M MɅT B P ' PA N R E zero , are zero , and the cosine and secant of this same arc , are each equal to the radius . Hence if R represents the radius of the circle , we have sin 0 = 0 , tang 0 = 0 , cos 0 ...
... sine and tangent of an arc S ' S M MɅT B P ' PA N R E zero , are zero , and the cosine and secant of this same arc , are each equal to the radius . Hence if R represents the radius of the circle , we have sin 0 = 0 , tang 0 = 0 , cos 0 ...
Page 222
... sine of an arc is given , its co- sine may be found , and re- ciprocally , by means of the S ' D S Q MɅT B P ' P A R V E formulas cos A = ± √ ( R2 — sin2A ) , and sin A = ± √ ( R2 — cos3A ) . The sign of these formulas is + , or ...
... sine of an arc is given , its co- sine may be found , and re- ciprocally , by means of the S ' D S Q MɅT B P ' P A R V E formulas cos A = ± √ ( R2 — sin2A ) , and sin A = ± √ ( R2 — cos3A ) . The sign of these formulas is + , or ...
Page 237
... sine and tangent , and subtracted for the cosine and cotangent . Ex . 1. To find the arc answering to the sine 9.880054 Sine 49 ° 20 ′ , next less in the table , 9.879963 Tab . Diff . 181 ) 9100 ( 50 ′′ Hence the arc 49 ° 20 ′ 50 ...
... sine and tangent , and subtracted for the cosine and cotangent . Ex . 1. To find the arc answering to the sine 9.880054 Sine 49 ° 20 ′ , next less in the table , 9.879963 Tab . Diff . 181 ) 9100 ( 50 ′′ Hence the arc 49 ° 20 ′ 50 ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex