Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 165
... projections of the sides of a closed figure on any straight line is zero . 16. Find the equation to a plane ; and the equations to the line of intersection of the two planes- x cos a + y cos ẞ + z cos y = p . x cos a ' + y cos ẞ ' + z ...
... projections of the sides of a closed figure on any straight line is zero . 16. Find the equation to a plane ; and the equations to the line of intersection of the two planes- x cos a + y cos ẞ + z cos y = p . x cos a ' + y cos ẞ ' + z ...
Σελίδα 293
... projected with a velocity v in a direction making an angle of 30 ° with the horizon ; find its velocity and direction of motion when it has reached a height 2 g . What is the horizontal space described in this time ? 10. A body is projected ...
... projected with a velocity v in a direction making an angle of 30 ° with the horizon ; find its velocity and direction of motion when it has reached a height 2 g . What is the horizontal space described in this time ? 10. A body is projected ...
Σελίδα 294
... . Find the direction in which a body must be projected with a given velocity to hit a given mark , and show gene- rally that there are two directions that will satisfy the conditions . 10. A body oscillates once in 2 · 5 " 294 WOOLWICH.
... . Find the direction in which a body must be projected with a given velocity to hit a given mark , and show gene- rally that there are two directions that will satisfy the conditions . 10. A body oscillates once in 2 · 5 " 294 WOOLWICH.
Σελίδα 299
... projected with a velocity of 1610 ft . a second and an elevation of 30 ° , find the latus - rectum of its path , and the distance of the focus from the point of projection . 11. When a body floats in water , show that the weight of the ...
... projected with a velocity of 1610 ft . a second and an elevation of 30 ° , find the latus - rectum of its path , and the distance of the focus from the point of projection . 11. When a body floats in water , show that the weight of the ...
Σελίδα 300
... projected upwards over a plane making an angle of 15 ° with the horizon ; find the direction of projec- tion when the range is a maximum . 9. Two billiard balls in contact are struck by a third , moving in a direction perpendicular to ...
... projected upwards over a plane making an angle of 15 ° with the horizon ; find the direction of projec- tion when the range is a maximum . 9. Two billiard balls in contact are struck by a third , moving in a direction perpendicular to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
Arithmetic axis ball base bisected body cent centre of gravity circle coefficient of friction compound interest cone cost crown 8vo cube cubic foot curve Define determine diameter Divide dwts ellipse English equal equilibrium expression feet Find the area Find the centre Find the distance Find the equation Find the number Find the sum Find the value fluid forces acting formula fraction geometrical Grammar horizontal plane hyperbola inches inclined plane inscribed Integrate isosceles latus rectum least common multiple length logarithms miles Multiply parabola parallel particle perpendicular pressure Prove pulleys radius ratio rectangle rectangular Reduce right angles sides simple interest sin² sine spherical triangle square root straight line string subtended Subtract surface tangent theorem tons tower triangle ABC velocity vertical vulgar fraction weight yards
Δημοφιλή αποσπάσματα
Σελίδα 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 10 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Σελίδα 184 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Σελίδα 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Σελίδα 184 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.
Σελίδα 154 - If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.