Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 1
... yard ( yd . ) = 1 fathom . 5 yds . or 16 ft . = 1 pole ( po . ) 40 po . or 220 yds . = 1 furlong AVOIRDUPOIS WEIGHT . ( fur . ) 8 fur . or 1760 yds . = 1 mile ( mi . ) 16 drams ( dr . ) = 1 ounce ( oz . ) 3 mi . 16 oz . = 1 pound ( lb ...
... yard ( yd . ) = 1 fathom . 5 yds . or 16 ft . = 1 pole ( po . ) 40 po . or 220 yds . = 1 furlong AVOIRDUPOIS WEIGHT . ( fur . ) 8 fur . or 1760 yds . = 1 mile ( mi . ) 16 drams ( dr . ) = 1 ounce ( oz . ) 3 mi . 16 oz . = 1 pound ( lb ...
Σελίδα 22
... yard . 9. At what rate will the interest on £ 4127 10s . amount to £ 92 178. 4 d . in a year ? 10. Find the compound interest on £ 364 for 3 years at 31 per cent . 11. Assuming that 32 bricks will make 9 sq . ft . of pavement , how many ...
... yard . 9. At what rate will the interest on £ 4127 10s . amount to £ 92 178. 4 d . in a year ? 10. Find the compound interest on £ 364 for 3 years at 31 per cent . 11. Assuming that 32 bricks will make 9 sq . ft . of pavement , how many ...
Σελίδα 23
... yards of paper 29 inches wide , will paper a room which is 22 ft . 9 in . long , 17 ft . 3 in . wide , and 9 ft . 8 in . high ? III . 1. Multiply 53786417276 by 5846 , and divide 632799181 by 7243 . 2. ( 1 ) Multiply £ 3001 6s . 4d . by ...
... yards of paper 29 inches wide , will paper a room which is 22 ft . 9 in . long , 17 ft . 3 in . wide , and 9 ft . 8 in . high ? III . 1. Multiply 53786417276 by 5846 , and divide 632799181 by 7243 . 2. ( 1 ) Multiply £ 3001 6s . 4d . by ...
Σελίδα 24
... yards apart , and a train passes one every 3 " , how fast is the train moving ? 11. If of 1 qr . cost 54s . , find the cost of of 1 bushel . 12. A coach goes 9 mi . an hour , and a train goes 21 mi . whilst the coach goes 11 ; how much ...
... yards apart , and a train passes one every 3 " , how fast is the train moving ? 11. If of 1 qr . cost 54s . , find the cost of of 1 bushel . 12. A coach goes 9 mi . an hour , and a train goes 21 mi . whilst the coach goes 11 ; how much ...
Σελίδα 25
... yards , feet and inches , are there in 175893 solid inches ? And ( 2 ) how many square yds . , ft . and in . are there in the top of a table , the sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply 43 of of 15 by 1 ...
... yards , feet and inches , are there in 175893 solid inches ? And ( 2 ) how many square yds . , ft . and in . are there in the top of a table , the sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply 43 of of 15 by 1 ...
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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.