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Mechanics for Practical Men: Treatises on the Composition and Resolution of ... Alexander Jamieson No preview available - 2017 |
Common terms and phrases
ABC and ACD absciss angle of direction angular points applied becomes Bisect calculation centre of gravity centre of motion circular segment common centre composants consequently cord cos² cosec cosine diagonal distance divided draw equal respectively equation equilibrium EXAMPLE expressed extreme bodies figure ABCDE forces act frustum G and g given forces hence inches inclined plane inflexible bar join length let these numbers line of application magnitudes or intensities moveable pulleys numbers be substituted oblique obtain operation parabola parallel forces parallelogram parallelogram of forces perpendicular point G point of application polygon pounds pressure principle problem produce radical sign rectangular represented respectively equal resultant rhombus right angles scale of equal scholium sides similar triangles square root straight line supposed sustained three bodies three forces tons trapezium ABCD triangles ABC Trigonometry vertex
Popular passages
Page 28 - ... assumed vertical plane ; and also the distance that the same point — " the centre of gravity of displacement " — is in depth from the load-water or line of deepest immersion, and that from the considerations which follow : — In a system of bodies, the centre of gravity of it is found by multiplying the magnitude or density of each body by its respective distance from the beginning of the system, and dividing the sum of such products by the sum of the magnitudes or densities. The displacement...
Page 59 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Page 170 - ... prism, of which the two ends or bases are equal and similar plane triangles, and the three sides rectangular parallelograms ; and it is called rectangular, isosceles, or scalene, according as its equal and similar bases are composed of right angles, isosceles, or scalene triangles. As a mechanical power, the wedge performs its office, sometimes in raising heavy bodies, but more frequently in dividing or cleaving them ; hence all those instruments which are used in separating the parts of bodies,...
Page 143 - The metal screws which are used for large presses, vices, &c. have generally a square thread, a form which gives great steadiness of motion. A thread of which the sides are parallel, and the top and bottom a little rounded, is perhaps the most perfect of all forms. In the common screw, to which the preceding observations are exclusively applicable, the threads are one continued spiral, from one end to the other ; but where there are two...
Page 143 - Archimedes, is formed by winding a tube or channel round a cylinder in the form of a screw. If the machine, thus constructed, be placed obliquely, so as to make with the vertical an angle equal to that which the spiral makes with the lines parallel to the axis of the cylinder, there will be in each convolution of the spiral a SCREW PROPELLER part parallel to the horizon.
Page 87 - Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians.
Page 38 - ... the product of the sum and difference of any two quantities, is equal to the difference of their squares.
Page iii - JAMIESON'S MECHANICS FOR PRACTICAL MEN, Including Treatises on the Composition and Resolution of Forces; the Centre of Gravity; and the Mechanical Powers- illustrated by Examples and Designs.
Page 117 - ... power must be employed, parallel to the plane, which shall be to the weight of the body as the height of the plane is to its length.
Page xiii - The resultant of two forces is represented in magnitude and direction by the diagonal of a parallelogram whose sides represent the magnitude and direction of these two forces.