The Cambridge course of elementary natural philosophy, being the demonstrations of the propositions in mechanics and hydrostatics in which those persons who are not candidates for honours are examined for the degree of B.A. [by J.C. Snowball].
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angle appears applied atmosphere attached balance Barrel base body bulk called center of gravity CHAPTER closed column component contained counteracted cubic inches cylinder definition density described direction distances draw drawn effect equal equilibrium fall fixed float fluid force forces act fulcrum given greater horizontal keep length less lever magnitude manner matter means measured MECHANICS mercury motion move moveable opposite original parallel parallelogram particles pass pipe piston placed plane portion position Power pressure pressure upwards prevent prism produce PROP properly Proposition pulley quantity raised remain represented respect rest Resultant round shew sides solid space Specific Gravity straight line string substances supported supposed surface taken tends triangle tube uniform valve vertical vessel weight Wheel Wherefore whole
Page 62 - To explain the construction of the common barometer, and to shew that the mercury is sustained in it by the pressure of the air on the surface of the mercury in the basin.
Page iv - Definition of Pulley. Prop. 11. In the single moveable pulley where the strings are parallel, there is an equilibrium when the power is to the weight as 1 to 2. Prop. 12. In a system in which the same string passes round any number of pulleys and the parts of it between the pulleys are parallel, there is an equilibrium when power (P) : weight (W) :: 1 : the number of strings at the lower block.
Page iv - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
Page 7 - U equal to their sum. Prop. 3. If two forces acting perpendicularly on a straight lever in opposite directions and on the same side of the fulcrum balance each other, they are inversely as their distances from the fulcrum ; and the pressure on the fulcrum is equal to the difference of the forces.
Page v - When a body is placed on a horizontal plane, it will stand or fall, according as the vertical line, drawn from its centre of gravity, falls within or without its base. Prop. 23. When a body is suspended from a point, it will rest with its centre of gravity in the vertical line passing through the point of suspension.
Page ii - ALGEBRA. 1. Definitions and explanations of algebraical signs and terms. 2. Addition, subtraction, multiplication and division of simple algebraical quantities and simple algebraical fractions. 3. Algebraical definitions of ratio and proportion. 4. If a : b :: c : d then ad = bc, and the converse : d : c, 6.
Page iv - The weight (W) being on an inclined plane and the force (P) acting parallel to the plane, there is an equilibrium when P : W :: the height of the plane : its length. Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to shew that if P and W...
Page 35 - To find the centre of gravity of two heavy points ; and to shew that the pressure at the centre of gravity is equal to the sum of the weights in all positions. Prop. 19. To find the centre of gravity of any number of heavy points; and to shew that the pressure at the centre of gravity is equal to the sum of the weights in all positions. Prop. 20. To find the centre of gravity of a straight line. Prop. 21. To find the centre of gravity of a triangle. Prop.
Page ii - SCHEDULE of MATHEMATICAL SUBJECTS of Examination, for the Degree of BA of Persons not Candidates for Honors. ARITHMETIC, Addition, subtraction, multiplication, division, reduction, rule of three ; the same rules in vulgar and decimal fractions : practice, simple and compound interest, discount, extraction of square and cube roots; duodecimals...