Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 62
... position from his battery an artillery officer riding at the rate of ten miles an hour goes , in his reconnoitre , owing to the nature of the ground , two minutes to the east , three minutes to the north , one and a half to the north ...
... position from his battery an artillery officer riding at the rate of ten miles an hour goes , in his reconnoitre , owing to the nature of the ground , two minutes to the east , three minutes to the north , one and a half to the north ...
Σελίδα 95
... position ? LVIII . 1. In 1370695 oz . how many tons , cwts . , qrs . , and lbs . are there ? 2. How many persons in 14 days can do as much work as it takes 21 persons to do in 4 days ? 3. Find ( by Practice ) the dividend on £ 5146 15s ...
... position ? LVIII . 1. In 1370695 oz . how many tons , cwts . , qrs . , and lbs . are there ? 2. How many persons in 14 days can do as much work as it takes 21 persons to do in 4 days ? 3. Find ( by Practice ) the dividend on £ 5146 15s ...
Σελίδα 122
... position , the bisecting line passes always through a fixed point . 3. Multiply 5 + 3x3 - x2 + 1 by x2 - 8x + 4 , and divide x6 - 2x3 + 1 by x2 - 2x + 1 ; also resolve into factors the expressions- ( x2 + 3x + 1 ) 2- ( x2 + x + 1 ) 2 ...
... position , the bisecting line passes always through a fixed point . 3. Multiply 5 + 3x3 - x2 + 1 by x2 - 8x + 4 , and divide x6 - 2x3 + 1 by x2 - 2x + 1 ; also resolve into factors the expressions- ( x2 + 3x + 1 ) 2- ( x2 + x + 1 ) 2 ...
Σελίδα 133
... position the angles subtended at his eye by the portions of the tower above and below the loophole are equal : find the height of the loop- hole from the ground . " 12. In a circle which has a radius of 10 feet two chords AB , CD are ...
... position the angles subtended at his eye by the portions of the tower above and below the loophole are equal : find the height of the loop- hole from the ground . " 12. In a circle which has a radius of 10 feet two chords AB , CD are ...
Σελίδα 145
... position . Find the distance from A to B.- П 12. If π be the ratio of the circumference of a circle to its diameter , point out any method by which the approxi- mate value of may be determined numerically , and if ☛ be the radius of a ...
... position . Find the distance from A to B.- П 12. If π be the ratio of the circumference of a circle to its diameter , point out any method by which the approxi- mate value of may be determined numerically , and if ☛ be the radius of a ...
Άλλες εκδόσεις - Προβολή όλων
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.