Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 46
... means make an increase of 20 per cent . upon his annual saving , what is his annual income ? 9. ( 1 ) Add together , of 3 } , and 532 623 ( 2 ) Find the difference between of 12s . 6d . and of 15s . 4d .; and reduce the result to the ...
... means make an increase of 20 per cent . upon his annual saving , what is his annual income ? 9. ( 1 ) Add together , of 3 } , and 532 623 ( 2 ) Find the difference between of 12s . 6d . and of 15s . 4d .; and reduce the result to the ...
Σελίδα 85
... means of this proposition prove that the three straight lines , which bisect the three angles of a triangle , meet in the same point . 5. Define the cosine , and versed sine of an angle , and trace the changes in magnitude and sign of ...
... means of this proposition prove that the three straight lines , which bisect the three angles of a triangle , meet in the same point . 5. Define the cosine , and versed sine of an angle , and trace the changes in magnitude and sign of ...
Σελίδα 93
... mean between 50 and 30 , 55 is the mean between 40 and 70 , therefore 55 is the mean percentage required . ' Is this reasoning correct ? If not show where the error lies . 32. Two clocks point to 8 o'clock A.м. at the same instant on ...
... mean between 50 and 30 , 55 is the mean between 40 and 70 , therefore 55 is the mean percentage required . ' Is this reasoning correct ? If not show where the error lies . 32. Two clocks point to 8 o'clock A.м. at the same instant on ...
Σελίδα 98
... means between two given quantities a and b . An arithmetical progression and an harmonical pro- gression have each the first term a and the last term l , and the same number of terms n ; prove that the product of the ( r + 1 ) th term ...
... means between two given quantities a and b . An arithmetical progression and an harmonical pro- gression have each the first term a and the last term l , and the same number of terms n ; prove that the product of the ( r + 1 ) th term ...
Σελίδα 101
... means of the tables√52 × ( ? ) ̄ ̄ . 511.31 26. On the birth of an infant , 1,500 is invested so that it may accumulate at compound interest ( 3 per cent . per annum payable half - yearly ) during the child's minority , calculate by ...
... means of the tables√52 × ( ? ) ̄ ̄ . 511.31 26. On the birth of an infant , 1,500 is invested so that it may accumulate at compound interest ( 3 per cent . per annum payable half - yearly ) during the child's minority , calculate by ...
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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
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.