The mechanical Euclid, containing the elements of mechanics and hydrostatics1837 |
Dentro del libro
Resultados 1-5 de 41
Página 12
... sides by bd , ad = bc . ; and by multiplying :: Any three terms in a proportion a b c d being given , the fourth may be determined from the equation ad bc . = 40 . If the first be to the second as the second to the third , the product ...
... sides by bd , ad = bc . ; and by multiplying :: Any three terms in a proportion a b c d being given , the fourth may be determined from the equation ad bc . = 40 . If the first be to the second as the second to the third , the product ...
Página 22
... sides of a triangle , it shall cut the other sides , or those produced , proportionally ; and if the sides , or the sides produced , be cut propor- tionally , the straight line which joins the points of 22 PURE MATHEMATICS .
... sides of a triangle , it shall cut the other sides , or those produced , proportionally ; and if the sides , or the sides produced , be cut propor- tionally , the straight line which joins the points of 22 PURE MATHEMATICS .
Página 23
... sides , be bisected by a straight line , which also cuts the base produced ; the segments between the dividing line and the extre- mities of the base are to each other as the other sides of the triangle ; and if the segments of the base ...
... sides , be bisected by a straight line , which also cuts the base produced ; the segments between the dividing line and the extre- mities of the base are to each other as the other sides of the triangle ; and if the segments of the base ...
Página 25
... sides . If A , B be the two sides , the rectangle is = A × B. Сов . If B be the base and A the altitude of a triangle , the area of the triangle is = 4 × B. == LEMMA 5. If a prism be cut by planes perpen- dicular to its length at ...
... sides . If A , B be the two sides , the rectangle is = A × B. Сов . If B be the base and A the altitude of a triangle , the area of the triangle is = 4 × B. == LEMMA 5. If a prism be cut by planes perpen- dicular to its length at ...
Página 33
... sides of the fulcrum , are inversely as their distances from the fulcrum , they will balance each other ; and the pressure on the fulcrum will be equal to their sum . Let P , Q be the two weights , MCN the lever . Let NC be the less of ...
... sides of the fulcrum , are inversely as their distances from the fulcrum , they will balance each other ; and the pressure on the fulcrum will be equal to their sum . Let P , Q be the two weights , MCN the lever . Let NC be the less of ...
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.