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 83.
Σελίδα 10
... sides inscribed in circle whose radius 1 360 ° is r -nr2 sin ; perimeter 2 n 180 ° 2nr sin n Area of polygon circumscribing the same circle 180 ° 180 ° nr2 tan ; perimeter = 2nr tan n n FORMULE IN SPHERICAL TRIGONOMETRY . The sides and ...
... sides inscribed in circle whose radius 1 360 ° is r -nr2 sin ; perimeter 2 n 180 ° 2nr sin n Area of polygon circumscribing the same circle 180 ° 180 ° nr2 tan ; perimeter = 2nr tan n n FORMULE IN SPHERICAL TRIGONOMETRY . The sides and ...
Σελίδα 11
... sides . = Area of parallelogram ab sin 0 , a and b being adjacent sides including an angle 0 . ab Area of triangle = pc = sin C = 2 2 √ { s ( s — a ) ( s — b ) ( s — c ) } c2 sin A sin B = 2 sin ( A + B ) p being the Ir drawn from A to ...
... sides . = Area of parallelogram ab sin 0 , a and b being adjacent sides including an angle 0 . ab Area of triangle = pc = sin C = 2 2 √ { s ( s — a ) ( s — b ) ( s — c ) } c2 sin A sin B = 2 sin ( A + B ) p being the Ir drawn from A to ...
Σελίδα 12
... sides inscribed in circle , nr2 radius = r , = sin 2 360 ° n Area of regular polygon of n sides circumscribing same circle = nr2 . tan 180 ° n Circumference of circle = 2πr ; π = 3 · 14159265 etc. = 3.1416 nearly . Length of arc ...
... sides inscribed in circle , nr2 radius = r , = sin 2 360 ° n Area of regular polygon of n sides circumscribing same circle = nr2 . tan 180 ° n Circumference of circle = 2πr ; π = 3 · 14159265 etc. = 3.1416 nearly . Length of arc ...
Σελίδα 25
... sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply number multiplied by of 3 of 15 by 1 of 12 ; ( 2 ) what will produce 153 ? 6. What fraction of half - a - crown is of 6s . 8d . ? 7. If 24 men , working 8 hrs . a ...
... sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply number multiplied by of 3 of 15 by 1 of 12 ; ( 2 ) what will produce 153 ? 6. What fraction of half - a - crown is of 6s . 8d . ? 7. If 24 men , working 8 hrs . a ...
Σελίδα 59
... side of a square park containiug 439 acres , 37 perches , and 53 square yards . 14. The contents of two cubes are ... sides to a triangle of equal area . 17. The cost of planting a hexagonal field at £ 5 10s . an acre was £ 7 15s ...
... side of a square park containiug 439 acres , 37 perches , and 53 square yards . 14. The contents of two cubes are ... sides to a triangle of equal area . 17. The cost of planting a hexagonal field at £ 5 10s . an acre was £ 7 15s ...
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 formula 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.