Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα
... TAKEN FROM MILITARY , CIVIL SERVICE , AND OTHER EXAMINATION PAPERS , INTENDED FOR THE USE OF STUDENTS PREPARING FOR EXAMINATION . WITH TABLES , FORMULE , ANSWERS , AND REFERENCES . BY SAMUEL H. WINTER . NEW EDITION . GA OUT 1877 ...
... TAKEN FROM MILITARY , CIVIL SERVICE , AND OTHER EXAMINATION PAPERS , INTENDED FOR THE USE OF STUDENTS PREPARING FOR EXAMINATION . WITH TABLES , FORMULE , ANSWERS , AND REFERENCES . BY SAMUEL H. WINTER . NEW EDITION . GA OUT 1877 ...
Σελίδα
... taken are sufficiently indicated by the Table of Contents . This collection differs , in two respects , from any with which the author is acquainted ; in the first place , the questions are arranged in such a manner that most of the ...
... taken are sufficiently indicated by the Table of Contents . This collection differs , in two respects , from any with which the author is acquainted ; in the first place , the questions are arranged in such a manner that most of the ...
Σελίδα 5
... taken r at a time = | n n - r No. of combinations of n things taken r at a time = ( a ± x ) " = a " ± ¦ an - 1x + 土 n ( n − 1 ) ( n − 2 ) 3 r | n n - r · n ( n − 1 ) an - 2x2 | 2 an33 + & c . & c .; where the ( r + 1 ) th term is In ...
... taken r at a time = | n n - r No. of combinations of n things taken r at a time = ( a ± x ) " = a " ± ¦ an - 1x + 土 n ( n − 1 ) ( n − 2 ) 3 r | n n - r · n ( n − 1 ) an - 2x2 | 2 an33 + & c . & c .; where the ( r + 1 ) th term is In ...
Σελίδα 37
... taken in a minute , in order to walk at the rate of four miles an hour ? 3. Simplify ( 1 ) 5 of 61 of 114–313 . 39 ( 2 ) 71 × of 135-127 ( 3 ) Compare the values of 21 20 and and resolve 27 ' 81 ' 243 30 and 42 into their prime factors ...
... taken in a minute , in order to walk at the rate of four miles an hour ? 3. Simplify ( 1 ) 5 of 61 of 114–313 . 39 ( 2 ) 71 × of 135-127 ( 3 ) Compare the values of 21 20 and and resolve 27 ' 81 ' 243 30 and 42 into their prime factors ...
Σελίδα 40
... taken of , and to the remainder of be added , the sum will be 10 ? 12. How many 3 - inch cubes can be cut from a 12 - inch cube ? ( Royal Naval College . ) NAVAL CADETSHIP PAPERS . XXII . 1. The moon's distance from the earth is 240,000 ...
... taken of , and to the remainder of be added , the sum will be 10 ? 12. How many 3 - inch cubes can be cut from a 12 - inch cube ? ( Royal Naval College . ) NAVAL CADETSHIP PAPERS . XXII . 1. The moon's distance from the earth is 240,000 ...
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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 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.