A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 σελίδες |
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Σελίδα 86
... 1 inch ; find how many seconds it will lose in 12 hours . 8. If the pendulum be shortened 5 inches , what num- ber of seconds will it gain in the same time ? HYDROSTATICS . PRESSURE OF HEAVY INELASTIC FLUIDS . 1. THE 86 DYNAMICS .
... 1 inch ; find how many seconds it will lose in 12 hours . 8. If the pendulum be shortened 5 inches , what num- ber of seconds will it gain in the same time ? HYDROSTATICS . PRESSURE OF HEAVY INELASTIC FLUIDS . 1. THE 86 DYNAMICS .
Σελίδα 87
... fluid with which the vessel is filled weighs n lbs .; find the depth of the vessel . 3. An isosceles triangle is immersed perpendicularly in a fluid , with its vertex coinciding with the surface and its base parallel to it . How must it ...
... fluid with which the vessel is filled weighs n lbs .; find the depth of the vessel . 3. An isosceles triangle is immersed perpendicularly in a fluid , with its vertex coinciding with the surface and its base parallel to it . How must it ...
Σελίδα 88
... fluid and laid with its axis horizontal ; find the pressure on the circular base . 9 . A cone is filled with fluid and laid so as to have a line in its surface horizontal ; find the pressure on the circular base . 10. A given rectangle ...
... fluid and laid with its axis horizontal ; find the pressure on the circular base . 9 . A cone is filled with fluid and laid so as to have a line in its surface horizontal ; find the pressure on the circular base . 10. A given rectangle ...
Σελίδα 89
... fluid ; compare the pressures on the sides and bottom . 18. A straight line is immersed vertically in a fluid ; divide it into three portions which shall be equally pressed . 19. Compare the pressures on two equal isosceles tri- angles ...
... fluid ; compare the pressures on the sides and bottom . 18. A straight line is immersed vertically in a fluid ; divide it into three portions which shall be equally pressed . 19. Compare the pressures on two equal isosceles tri- angles ...
Σελίδα 90
... fluid ? 4. If a lighter fluid rest upon a heavier , and their specific gravities be a and b , and a body , specific gravity c , rest with one part P in the upper fluid , and the other part Q in the lower , then P : Q : b - c : с a . 5 ...
... fluid ? 4. If a lighter fluid rest upon a heavier , and their specific gravities be a and b , and a body , specific gravity c , rest with one part P in the upper fluid , and the other part Q in the lower , then P : Q : b - c : с a . 5 ...
Άλλες εκδόσεις - Προβολή όλων
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Συχνά εμφανιζόμενοι όροι και φράσεις
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 128 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Σελίδα 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Σελίδα 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.