An Elementary Treatise on Orthographic Projection: Being a New Method of Teaching the Science, of Mechanical and Engineering Drawing, Intended for the Instruction of Engineers, Architects, Builders, Smiths, Masons, and Bricklayers, and for the Use of Schools. With Numerous Illustrations on Wood and Steel

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E. & F.N. Spon, 1899 - Mechanical drawing - 138 pages
 

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Page 133 - So, it is necessary, in its own nature, that two and two should be four ; and it is necessary that all right lines, drawn from the centre of a circle to the circumference, should be equal. It is necessary, fit, and suitable, that men should do to others as they would that they should do to them. So, innumerable metaphysical and mathematical truths are necessary in themselves; the subject and predicate of the proposition which affirms them are perfectly connected of themselves.
Page 45 - ... with what power the sun or any planet or any satellite attracts a body at a given distance, we are compelled to ascertain the exact weight of the sun, planet, or satellite. We shall show hereafter that it is possible to reach an approximate value of the weight of the earth in pounds avoirdupois ; but for our present purpose it will be sufficient to state that the weight of the earth is well represented by the intensity of its power of attraction at a unit's distance from its centre. For this...
Page 94 - No. 3, as seen in the direction of the arrow c, will also be a straight line, equal in length to the diameter of the circle; and since No.
Page 27 - ... laboratory. During the second and third years quantitative analysis is taught by lectures and blackboard exercises, and the student is required to execute in the laboratory, in a satisfactory manner, a certain number of analyses. He first analyzes substances of known composition, such as crystallized salts, that the accuracy of his work may be tested by a comparison of his results with the true percentages. These analyses are repeated till he has acquired sufficient skill to insure accurate results....
Page 111 - The spherocylinder is a combination of a sphere with a cylinder, and is used in cases of compound or mixed astigmatism in which there is a different refractive error in the two principal meridians of the eye.
Page 106 - It sometimes happens in the delineation of the minor parts of mechanical and architectural structures that one •solid of revolution, such as a cylinder, cone, or sphere, is joined to or made to penetrate, as it were, another solid.
Page 96 - ... (Fig. 25 a) and mark upon one edge, with a sharp-pointed pencil, 1, 3, equal to the semi-axis major, and 2, 3, equal to the semi-axis minor. If the slip of paper be now applied to the figure and moved over it in such a manner that the point 2 is always in contact with the major axis, and...
Page 100 - If a cone be cut by a plane which passes through the opposite sides and makes an angle with the axis other than a right angle, the section will be an ellipse. 4. If a cone be cut by a plane perpendicular to the base, but not through the axis, the section will be an hyperbola. 5. If a cone be cut by a plane parallel to one of its sides...
Page 96 - No. 2, in points p' p", No. 1; and from p' p", as centres, describe arcs through a and b of about 15° on each side of the axis ab*. To obtain any number of intermediate points, take a slip of paper, AB, and mark upon one edge, with a sharp-pointed pencil, i, 3, equal to the semi-axis major, and 2 3, equal to the semi-axis minor. If the slip of paper be now applied to No. 1, and moved over the figure in such manner that point 2 is always in contact with the major axis, and point i in contact with...

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