The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Página iii
... Definition of Proportion ..... Lemmas respecting Proportion Euclid , B. VI . Definitions and Enunciations Euclid , B. XI . Definitions Lemma respecting Arcs of Circles Lemmas respecting Prisms ...... MECHANICS . PAGE 1 6 7 8 9 10 11 15 ...
... Definition of Proportion ..... Lemmas respecting Proportion Euclid , B. VI . Definitions and Enunciations Euclid , B. XI . Definitions Lemma respecting Arcs of Circles Lemmas respecting Prisms ...... MECHANICS . PAGE 1 6 7 8 9 10 11 15 ...
Página iv
... Definitions and Fundamental Notions Axioms Propositions respecting the Pressure of Fluids Specific Gravity the Hydrometer 72 - 74 94 99 the Weight of Air and the Barometer 101 the Siphon the Common Pump .. the Forcing Pump the Air ...
... Definitions and Fundamental Notions Axioms Propositions respecting the Pressure of Fluids Specific Gravity the Hydrometer 72 - 74 94 99 the Weight of Air and the Barometer 101 the Siphon the Common Pump .. the Forcing Pump the Air ...
Página ix
... define and explain Algebraical Signs . ART . 1. THE method of representing the rela- tion of abstract quantities by letters and characters , which are made the signs of such quantities and their relations , is called ALGEBRA . Known or ...
... define and explain Algebraical Signs . ART . 1. THE method of representing the rela- tion of abstract quantities by letters and characters , which are made the signs of such quantities and their relations , is called ALGEBRA . Known or ...
Página 11
... definition of Proportion . 37. Four quantities are said to be proportionals , when the first is the same multiple , part , or parts of the second , that the third is of the fourth . Thus the four quantities 8 , 12 , 6 , 9 , are propor ...
... definition of Proportion . 37. Four quantities are said to be proportionals , when the first is the same multiple , part , or parts of the second , that the third is of the fourth . Thus the four quantities 8 , 12 , 6 , 9 , are propor ...
Página 20
... Definition of Proportion . The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth , when any equi - multiples whatsoever of the first and third being taken , and any equi - multiples ...
... Definition of Proportion . The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth , when any equi - multiples whatsoever of the first and third being taken , and any equi - multiples ...
Otras ediciones - Ver todas
The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD Accelerating Force algebraical quantities Axioms of Statics axis balance body falling body moving center of gravity column of fluid deductive deductive reasoner definition density destroy direction equilibrium exerted fluid displaced forces acting fulcrum Geometry heavy fluid Hence horizontal plane horizontal pressures hydrostatic balance Hydrostatics idea immersed inclined plane INDUCTIVE PRINCIPLE lever magnitude manner mathematical mercury opposite P's velocity parallel particle perpendicular piston portions pressure on LM prism produce proportion pully Q. E. D. PROP quantity of matter ratio reasoning represent rest right angle SCHOLIUM sides space described specific gravity straight line string supposed surface pressed tical tions triangles truth tube uniform force University of Cambridge upper surface valve velocity acquired vertical column vertical line vessel weight
Pasajes populares
Página 22 - A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. 5. The inclination of a straight line to a plane...
Página 46 - If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest.
Página 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Página 18 - ... if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth.
Página 47 - 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.
Página 20 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...
Página 97 - ... gravity of the fluid : the specific gravity of the body. Prop. 10. To describe the hydrostatic balance, and to shew how to find the specific gravity of a body by means of it, 1st, when its specific gravity is greater than that of the fluid in which it is weighed ; 2ndly, when it is less.