Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα
... Distances Mensuration Spherical Trigonometry 249 258 263 Co - ordinate Geometry Differential Calculus 266 273 Integral Calculus 282 Mixed Mathematics . 288 Formulæ in Statics 288 Formulæ in Dynamics 289 Formulæ in Hydrostatics 290 ...
... Distances Mensuration Spherical Trigonometry 249 258 263 Co - ordinate Geometry Differential Calculus 266 273 Integral Calculus 282 Mixed Mathematics . 288 Formulæ in Statics 288 Formulæ in Dynamics 289 Formulæ in Hydrostatics 290 ...
Σελίδα 12
... distance between the parallel sides a , Area of trapezium inscribed in circle = b . ✓ { ( s — a ) ( s — b ) ( s — c ) ( s — d ) } , s = { } ( a + b + c + d ) . na2 4 Area of regular polygon = x cot 180 ° η ; n = number of sides each ...
... distance between the parallel sides a , Area of trapezium inscribed in circle = b . ✓ { ( s — a ) ( s — b ) ( s — c ) ( s — d ) } , s = { } ( a + b + c + d ) . na2 4 Area of regular polygon = x cot 180 ° η ; n = number of sides each ...
Σελίδα 28
... distance be traversed by a train moving at the rate of 24 miles an hour ? 7. A besieged town containing 22400 inhabitants has provisions for 3 weeks ; how many must leave in order that the provisions may last 7 weeks ? 8. If 5 men ...
... distance be traversed by a train moving at the rate of 24 miles an hour ? 7. A besieged town containing 22400 inhabitants has provisions for 3 weeks ; how many must leave in order that the provisions may last 7 weeks ? 8. If 5 men ...
Σελίδα 30
... distance of 208 miles ? 7. If by paying down £ 70 17s . 6d . a person becomes entitled to £ 2 9s . 7d . a year , what income should he gain by paying down £ 2126 5s . ? 8. Find the value of ; ( 1 ) 9 tons 4 cwts . 3 qrs . 21 lbs . at ...
... distance of 208 miles ? 7. If by paying down £ 70 17s . 6d . a person becomes entitled to £ 2 9s . 7d . a year , what income should he gain by paying down £ 2126 5s . ? 8. Find the value of ; ( 1 ) 9 tons 4 cwts . 3 qrs . 21 lbs . at ...
Σελίδα 40
... distance from the earth is 240,000 miles , and the sun's is 95,000,000 miles ; how much farther is the sun from the earth than the moon is ? 2. ( 1 ) Reduce 540,697 inches to miles , furlongs , & c . ( 2 ) Multiply 15 lbs . 9 oz . 17 ...
... distance from the earth is 240,000 miles , and the sun's is 95,000,000 miles ; how much farther is the sun from the earth than the moon is ? 2. ( 1 ) Reduce 540,697 inches to miles , furlongs , & c . ( 2 ) Multiply 15 lbs . 9 oz . 17 ...
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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.