Elementary Trigonometry: With a Collection of ExamplesDeighton, Bell, and Company, 1862 - 184 páginas |
Dentro del libro
Resultados 1-5 de 22
Página 5
... the magnitudes of the angles represented respectively bear to the magnitude of that angle which is taken as the unit of circular measure . 10. To find the number of degrees in the unit Units and Measurement of Angular Magnitudes . 5.
... the magnitudes of the angles represented respectively bear to the magnitude of that angle which is taken as the unit of circular measure . 10. To find the number of degrees in the unit Units and Measurement of Angular Magnitudes . 5.
Página 7
... representing the circular measure of the angle are the same , so that the arc may itself be taken as the measure of the angle , which is then said to be ex- pressed in arc . The circular measure of two right angles is manifestly since ...
... representing the circular measure of the angle are the same , so that the arc may itself be taken as the measure of the angle , which is then said to be ex- pressed in arc . The circular measure of two right angles is manifestly since ...
Página 8
... represent a distance measured to the left of O by a symbol with a negative sign prefixed . For , in accordance with this convention , b - a being the magnitude of the distance OB , the position of the point B will be indicated by - ( b ...
... represent a distance measured to the left of O by a symbol with a negative sign prefixed . For , in accordance with this convention , b - a being the magnitude of the distance OB , the position of the point B will be indicated by - ( b ...
Página 9
... represented algebraically by + a , the angle XOK ' , which is drawn equal in magnitude to XOK , will be represented by -a . K α X -α K ' For the revolving line , in order to pass over the angle XOK ' , must revolve in a direction ...
... represented algebraically by + a , the angle XOK ' , which is drawn equal in magnitude to XOK , will be represented by -a . K α X -α K ' For the revolving line , in order to pass over the angle XOK ' , must revolve in a direction ...
Página 10
... representing the position and magnitude of straight lines . Suppose we agree to affix the positive sign to the symbols which represent the lengths of lines measured from 0 in the directions OX , OY ; then if we know the proper sym- bols ...
... representing the position and magnitude of straight lines . Suppose we agree to affix the positive sign to the symbols which represent the lengths of lines measured from 0 in the directions OX , OY ; then if we know the proper sym- bols ...
Otras ediciones - Ver todas
Términos y frases comunes
a+b+c a²+b² angle AOP angle of elevation angular arithmetical progression B-sin bisecting centre circular measure circumference circumscribing circle cos² cos³ cosec cosine cubic equation decimal decreases in magnitude determined distance equal escribed circles EXAMPLES ILLUSTRATING CHAPTER feet Find the number find the value formula Given log given value Hence horizontal plane increases inscribed integer logarithm mount Ebal number of degrees number of grades Observe the angles perpendicular polygon Prove Quadrant quadrilateral radii radius regular polygon respectively revolving line right angle sec² secant secondary angle shew sides sign and magnitude similar triangles Similarly sin A sin sin² sin³ sine sines and cosines Solve the equation solve the triangle straight line subtend tan² tangent tower triangle ABC trigono trigonometrical functions versin π π
Pasajes populares
Página 64 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 1 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Página 175 - ... 66. Construct an equilateral triangle, having given the length of the perpendicular drawn from one of the angles on the opposite side. 67. Having given the straight lines which bisect the angles at the base of an equilateral triangle, determine a side of the triangle. 68. Having given two sides and an angle of a triangle, construct the triangle, distinguishing the different cases. 69. Having given the base of a triangle, the difference...
Página 37 - B + cos A . sin B tan(A + B)= ) , (- = — . --. v cos (A + B) cos A . cos B — sin A . sin B and dividing numerator and denominator by cos A . cos B, sin A sin B cos A "'"cos B tan A + tan B 1 tan A.
Página 175 - Three circles are described, each of which touches one side of a triangle ABC, and the other two sides produced. If D be the point of contact of the side BC, E that of AC, and F that of AB, shew that AE is equal to BD, BF to CE, and CD to AF.
Página 5 - Now the angle at the centre of a circle which is subtended by an arc equal to the radius equals — = 57°. 29578, it so that the true length of a curve is given by the equation t IR L — ~ — — 57.2958 — 57.2958...
Página 113 - ... would be subtended at the centre of the first by an arc equal to the radius of the second. 9. If a be the arc which measures the complement of an angle to radius r, find the arc which measures the supplement of the same angle to radius r'.
Página 159 - It is required to bisect any triangle (1) bya line drawn parallel, (2) by a line drawn perpendicular, to the base. 43. To divide a given triangle into two parts, having a given ratio to one another, by a straight line drawn parallel to one of its...