The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
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Side v
... for every- thing which it contains , both as to plan and execu- tion , rests upon me as an individual . The Treatise has no claim to adoption except what depends upon its own merits , and its consistency with the decrees.
... for every- thing which it contains , both as to plan and execu- tion , rests upon me as an individual . The Treatise has no claim to adoption except what depends upon its own merits , and its consistency with the decrees.
Side vi
... tions . Although the work is now published with imme- diate reference to the new scheme of examination , it will easily be seen that it does not refer solely to that object . I have introduced many propositions into my series , which do ...
... tions . Although the work is now published with imme- diate reference to the new scheme of examination , it will easily be seen that it does not refer solely to that object . I have introduced many propositions into my series , which do ...
Side ix
... tion of abstract quantities by letters and characters , which are made the signs of such quantities and their relations , is called ... tions . A diate it wi that INTRODUCTION, ELEMENTARY PURE MATHEMATICS (1) Algebraical Signs ALGEBRA.
... tion of abstract quantities by letters and characters , which are made the signs of such quantities and their relations , is called ... tions . A diate it wi that INTRODUCTION, ELEMENTARY PURE MATHEMATICS (1) Algebraical Signs ALGEBRA.
Side x
... tions in or exam able added static T princi to m if pos monly order reason which or fo work , applic its co sugges e- 2 % over the 2 se the -eds to be Stiffes that divided by b ; and a is the numerator , vi PURE MATHEMATICS.
... tions in or exam able added static T princi to m if pos monly order reason which or fo work , applic its co sugges e- 2 % over the 2 se the -eds to be Stiffes that divided by b ; and a is the numerator , vi PURE MATHEMATICS.
Side 8
... of the proposed frac- tions are not prime to each other , find their greatest common measure ; multiply both the numerator and denominator of each fraction by the denominators of all the 8 PURE MATHEMATICS . (8) Division of Fractions.
... of the proposed frac- tions are not prime to each other , find their greatest common measure ; multiply both the numerator and denominator of each fraction by the denominators of all the 8 PURE MATHEMATICS . (8) Division of Fractions.
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The Mechanical Euclid, Containing the Elements of Mechanics and Hydrostatics William Whewell Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 9 - Sacred History, from the Creation of the World to the Destruction of Jerusalem. With Questions for Examination.
Side 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.
Side 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.
Side 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...
Side 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.