Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 25
... produce 153 ? 6. What fraction of half - a - crown is 3 of 6s . 8d . ? 7. If 24 men , working 8 hrs . a day , can build a house in 70 days , in how many days might it be built by 42 men , working 10 hrs . a day ? 8. Find , by Practice ...
... produce 153 ? 6. What fraction of half - a - crown is 3 of 6s . 8d . ? 7. If 24 men , working 8 hrs . a day , can build a house in 70 days , in how many days might it be built by 42 men , working 10 hrs . a day ? 8. Find , by Practice ...
Σελίδα 51
... produces £ 378 in 5 years . What is the rate per cent . ? 26. If pasturage for 28 oxen for 11 days can be obtained for £ 7 10s . , what should be paid on account of a herd of 33 feeding for 63 days ? XXXIII . 1. Add together 23 , 1 , 53 ...
... produces £ 378 in 5 years . What is the rate per cent . ? 26. If pasturage for 28 oxen for 11 days can be obtained for £ 7 10s . , what should be paid on account of a herd of 33 feeding for 63 days ? XXXIII . 1. Add together 23 , 1 , 53 ...
Σελίδα 75
... Produce a given straight line so that the rectangle contained by the whole line thus produced , and the part produced , shall be equal to the square on the given line . 2. If any number of equal straight lines are placed in a circle ...
... Produce a given straight line so that the rectangle contained by the whole line thus produced , and the part produced , shall be equal to the square on the given line . 2. If any number of equal straight lines are placed in a circle ...
Σελίδα 77
... produced . 12. Show how to solve a triangle when two sides and the included angle are given . Given in a triangle ABC , AB = 4517 yards , AC 150 yards , A ° = 31 ° 30 ′ , find the remaining parts . 13. A , B are two points , 200 yards ...
... produced . 12. Show how to solve a triangle when two sides and the included angle are given . Given in a triangle ABC , AB = 4517 yards , AC 150 yards , A ° = 31 ° 30 ′ , find the remaining parts . 13. A , B are two points , 200 yards ...
Σελίδα 78
... produced , pass through one and the same point . Given a circle , and two points in its plane ; describe a circle which shall pass through the two given points , and meet the given circle in two points diametrically opposite to one ...
... produced , pass through one and the same point . Given a circle , and two points in its plane ; describe a circle which shall pass through the two given points , and meet the given circle in two points diametrically opposite to one ...
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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.