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 sider |
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Resultater 1-5 af 16
Side 31
... radii , having given that the weight of a sphere varies as the cube of its radius . 14. There are two vessels , A and B , each containing a mixture of water and wine , A in the ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity ...
... radii , having given that the weight of a sphere varies as the cube of its radius . 14. There are two vessels , A and B , each containing a mixture of water and wine , A in the ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity ...
Side 54
... radii of three other circles which touch the sides produced , then 1 1 1 + - = - + - T2 73 6. In a right - angled triangle , the lines drawn from the acute angles to the point of bisection of the opposite sides are a , ẞ , respectively ...
... radii of three other circles which touch the sides produced , then 1 1 1 + - = - + - T2 73 6. In a right - angled triangle , the lines drawn from the acute angles to the point of bisection of the opposite sides are a , ẞ , respectively ...
Side 62
... radii of the circles , prove that r = r1 + 12 + r3 + ...... 15. If a , b , c , d be the four sides of a quadrilateral figure inscribed in a circle , and 28 = a + b + c + d , and A be the angle contained by a and d , then A - tan J ( S ...
... radii of the circles , prove that r = r1 + 12 + r3 + ...... 15. If a , b , c , d be the four sides of a quadrilateral figure inscribed in a circle , and 28 = a + b + c + d , and A be the angle contained by a and d , then A - tan J ( S ...
Side 63
... radii of the circumscribed and in- scribed circles of a regular polygon of n sides , and R ' , r ' the corresponding radii for a regular polygon of 2n sides , and of the same perimeter as the former , then Rr ' R ' , and R + r = 2r ...
... radii of the circumscribed and in- scribed circles of a regular polygon of n sides , and R ' , r ' the corresponding radii for a regular polygon of 2n sides , and of the same perimeter as the former , then Rr ' R ' , and R + r = 2r ...
Side 70
... radii of the wheel and axle , find the inclination of the plane . 4. What force is necessary to support a weight of 60 lbs . on a plane inclined at an angle of 60 ° to the horizon , the force acting horizontally ? 5. Find the angle at ...
... radii of the wheel and axle , find the inclination of the plane . 4. What force is necessary to support a weight of 60 lbs . on a plane inclined at an angle of 60 ° to the horizon , the force acting horizontally ? 5. Find the angle at ...
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Almindelige termer og sætninger
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
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Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 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.
Side 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.