## 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].John W. Parker, 1838 - 81 pages |

### From inside the book

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**particles**of fluid bodies , concerning whose internal structure little or nothing is known with certainty . Neither can it be much less objec- tionable to arrive at results by supposing a portion of a fluid at rest to lose , by becoming ... Page xi

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**particle**of a fluid of uniform den- sity is proportional to its depth below the surface of the fluid . 6. Prop . 3. The surface of every fluid at rest is horizontal . 7. Prop . 4. If a vessel , the bottom of which is horizontal and the ... Page 49

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**particles**will be proportional to their lengths . .. Pressure on the**particle**P : pressure on the**particle**Q :: weight of the line of**particles**PM : weight of the line of**particles**QN :: PM : QN . Again ; the fluid being at rest , the ... Page 50

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**particles**( as RO ) reaching from a**particle**R to the surface of the fluid , or part of the line be cut off by a ...**particles**pressing with their weights on those immediately below them ; and second , by the property these**particles**... Page 51

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**particles**, each of these lines will press vertically with its weight , and the sum of these vertical pressures will be the weight of the fluid in the vessel . Now the base of the vessel , being horizontal , will counterbalance and ...### Other editions - View all

The Cambridge Course of Elementary Natural Philosophy, Being the ... John Charles Snowball No preview available - 2011 |

### Common terms and phrases

ABCD acting perpendicularly acting vertically AE and AC Algebra applied Axle azaq barometer Barrel called center of gravity Complete the parallelogram counteracted cubic foot cubic inches cylinder degree of B.A. diagonal duced effect equal and opposite equal bulks equal distances equiangular equilibrium EUCLID external air Fahrenheit float fluid at rest fluid press forces act fulcrum greater heavy points horizontal plane Hydrometer HYDROSTATICS immersed inches of mercury Inclined Plane line of action moveable pulley P's velocity parallel particles piston placed position Power pressure upwards prism PROP Proposition Pump Q act quantity of matter remain at rest represented in magnitude Resultant right angles round shew sides solid Specific Gravity straight lever straight line string substances Suction pipe supposed surface tendency to move thermometer three forces tube uniform density valve vessel Weight act Wheel Wherefore whole

### Popular passages

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...

Page 45 - The pressure of a liquid on any surface immersed in it is equal to the weight of a column of the...