A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 66
... inclined to each other . 11. A small ring is attached to one end of a string of given length , the other end of ... plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of ...
... inclined to each other . 11. A small ring is attached to one end of a string of given length , the other end of ... plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of ...
Σελίδα 69
... plane by a pivot at its centre ; if three weights be suspended from the outer extremities of the three rods find the position of equilibrium . 18. One end of a beam is connected with a fixed point by a hinge ... inclined plane STATICS . 69.
... plane by a pivot at its centre ; if three weights be suspended from the outer extremities of the three rods find the position of equilibrium . 18. One end of a beam is connected with a fixed point by a hinge ... inclined plane STATICS . 69.
Σελίδα 70
... inclined plane by a force P , acting by means of a wheel and axle , placed at the top , in such a manner that the string attached to the weight is parallel to the plane . Given R and r the radii of the wheel and axle , find the inclination ...
... inclined plane by a force P , acting by means of a wheel and axle , placed at the top , in such a manner that the string attached to the weight is parallel to the plane . Given R and r the radii of the wheel and axle , find the inclination ...
Σελίδα 71
... plane inclined at an angle of 30 ° to the horizon ? 16. On an inclined plane the pressure , force , and weight are as the numbers 4 , 5 , 7 ; find the inclination of the plane to the horizon , and the inclination of the force's direction to ...
... plane inclined at an angle of 30 ° to the horizon ? 16. On an inclined plane the pressure , force , and weight are as the numbers 4 , 5 , 7 ; find the inclination of the plane to the horizon , and the inclination of the force's direction to ...
Σελίδα 73
... plane round a hinge at A , and is kept in a given position by a weight P ... inclined at an angle of 30 ° to the horizon and is prevented from sliding ... inclined planes having a common altitude , by means of a string which is attached ...
... plane round a hinge at A , and is kept in a given position by a weight P ... inclined at an angle of 30 ° to the horizon and is prevented from sliding ... inclined planes having a common altitude , by means of a string which is attached ...
Άλλες εκδόσεις - Προβολή όλων
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Συχνά εμφανιζόμενοι όροι και φράσεις
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 128 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Σελίδα 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Σελίδα 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.