Elements of Plane and Spherical Trigonometry with Logarithmic and Other Mathematical Tables and Examples of Their Use and Hints on the Art of ComputationH. Holt, 1882 - 104 páginas |
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Página 16
... distances measured in one direction are considered positive , those in the opposite direction are negative . Hence also : In the third quadrant the sine is negative . When the point m reaches the position Y ' it will have moved through ...
... distances measured in one direction are considered positive , those in the opposite direction are negative . Hence also : In the third quadrant the sine is negative . When the point m reaches the position Y ' it will have moved through ...
Página 17
... distance XN ' is then to be regarded as negative . Hence : In the second quadrant the tangent is negative . Following the motion , we see that when m reaches X ' , reaches and the tangent becomes zero . Hence tan 180 ° 0 . = N ' When m ...
... distance XN ' is then to be regarded as negative . Hence : In the second quadrant the tangent is negative . Following the motion , we see that when m reaches X ' , reaches and the tangent becomes zero . Hence tan 180 ° 0 . = N ' When m ...
Página 18
... distance ON from 0 to the point N , in which the revolving side intersects the tangent line XN . When m falls on X and the angle is zero , the secant is equal to OX , or unity . Hence sec 0 ° = 1 . ( 3 ) As m moves from X to Y , the ...
... distance ON from 0 to the point N , in which the revolving side intersects the tangent line XN . When m falls on X and the angle is zero , the secant is equal to OX , or unity . Hence sec 0 ° = 1 . ( 3 ) As m moves from X to Y , the ...
Página 21
... The cosine of any angle XOM is represented by the distance OP to the foot of the sine , positive or negative according to its direction . U X P Р T V. The cotangent of any angle XOM is represented by THE TRIGONOMETRIC FUNCTIONS . 21.
... The cosine of any angle XOM is represented by the distance OP to the foot of the sine , positive or negative according to its direction . U X P Р T V. The cotangent of any angle XOM is represented by THE TRIGONOMETRIC FUNCTIONS . 21.
Página 39
... distance from X equal to 0.75 of the radius OX ; join the end of the distance to⚫0 , and measure the angle XON which the joining line makes with OX . This angle will be a . The length of the joining line divided by OX will be the ...
... distance from X equal to 0.75 of the radius OX ; join the end of the distance to⚫0 , and measure the angle XON which the joining line makes with OX . This angle will be a . The length of the joining line divided by OX will be the ...
Otras ediciones - Ver todas
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2016 |
Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2018 |
Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2017 |
Términos y frases comunes
9 Prop algebraic sign angle AOB angle corresponding angle XOM applied arithmetical complement circle circumference co-log co-ordinates coefficients column computation cos² cos³ cosec cosine cotangent Cotg differences distance divided Entering the table equal equations error example EXERCISES expression find log find the values formula fourth quadrant geometry gives greater Hence interpolation intersect latitude length line OX log cot measure metres minutes nth roots perpendicular places of decimals polar triangle polygon preceding problem projection quantities radius revolving right angle right triangle roots of unity secant sides sin a cos sin a sin sin² sine N sines and cosines spherical triangle spherical trigonometry square substituting subtract suppose Tang theorem third quadrant tions trigono trigonometric functions trihedral angle unit write wwww zero ΙΟ
Pasajes populares
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 66 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 34 - To find the trigonometric functions corresponding to an angle between 45° and 90°, we take the degrees at the bottom of the page and the minutes in the right-hand column. The values of the...
Página 139 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 132 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 44 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.
Página 73 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Página 53 - Conventionally the period is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.