Mechanics for Practical Men |
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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 applied axis becomes bended lever Bisect calculation centre of gravity centre of motion circular segment common centre complete the square consequently construction cord cos² cosec diagonal distance divide draw equal respectively equation marked equilibrium EXAMPLE expressed feet figure ABCDE forces act formulæ found to balance frustum fulcrum or centre hence inches inclined plane join magnitudes or intensities moveable pulleys numbers oblique obtain parabola parallel forces parallelogram parallelogram of forces perpendicular Plane Trigonometry point G point of application pounds acting pressure PROBLEM produce pyramid radical sign radius rectangular represented respectively equal resultant rhombus right angles scholium segment sides similar triangles square root straight line substituting supposed sustaining three bodies three forces tons trapezium ABCD triangles ABC vertex weight or resistance
Popular passages
Page 120 - Rule: To the sum of the squares of the radii of the two ends, add...
Page 63 - 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 107 - IX=re, wherefore the distance of the centre of gravity of a circular arc, from the centre of the circle, is a fourth proportional to the length of the arc, the chord, and the radius.
Page 179 - If any body, then, be placed within the spiral at this part, it will remain at rest; and if the screw be turned the body will ascend, because the part of the screw behind it becomes more inclined than the part before it, and it is consequently urged forward. This...
Page 214 - ... 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 178 - 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 179 - 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 58 - ... the product of the sum and difference of any two quantities, is equal to the difference of their squares.
Page v - MECHANICS, is the science which treats of the laws of the equilibrium and motion of solid bodies; of the forces by which bodies, whether animate or inanimate, may be made to act upon one another; and of the means by which these may be increased, so as to overcome such as are most powerful.