Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 sider |
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Resultat 1-5 av 30
Side 31
... placed out at interest at 4 per cent . would amount to £ 560 in 3 years , allowing simple interest . 11. Divide £ 350496 among 4 persons in the proportion of 3 , 7 , 9 , and 11 . 12. A sum of £ 250 17s . 6d . is transmitted through ...
... placed out at interest at 4 per cent . would amount to £ 560 in 3 years , allowing simple interest . 11. Divide £ 350496 among 4 persons in the proportion of 3 , 7 , 9 , and 11 . 12. A sum of £ 250 17s . 6d . is transmitted through ...
Side 75
... placed in a circle , show that a circle can be described which shall touch them all , and that each of them is bisected at its point of contact with this circle ? 3. If two circles touch each other externally , and if through the point ...
... placed in a circle , show that a circle can be described which shall touch them all , and that each of them is bisected at its point of contact with this circle ? 3. If two circles touch each other externally , and if through the point ...
Side 84
... placed in a circle , find the locus of their points of bisection . 2. If from any point without a circle lines be drawn touching it , the angle contained by the tangents is double the angle contained by the line joining the points of ...
... placed in a circle , find the locus of their points of bisection . 2. If from any point without a circle lines be drawn touching it , the angle contained by the tangents is double the angle contained by the line joining the points of ...
Side 189
... placed , in order to receive the same amount of light directly , which it would receive by reflection from the mirror so placed that the whole distance traversed by the light is 5 feet ? of 36. A contractor has stores worth £ 300 ; he ...
... placed , in order to receive the same amount of light directly , which it would receive by reflection from the mirror so placed that the whole distance traversed by the light is 5 feet ? of 36. A contractor has stores worth £ 300 ; he ...
Side 250
... placed on the top of a tower , and subtends an angle of 6o at a place which is in the same horizontal plane as the foot of the tower , and is 50 ft . dis- tant from it . Determine the height of the tower . 10. From a boat on a river ...
... placed on the top of a tower , and subtends an angle of 6o at a place which is in the same horizontal plane as the foot of the tower , and is 50 ft . dis- tant from it . Determine the height of the tower . 10. From a boat on a river ...
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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 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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.