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Excerpt from Progressive Lessons in Applied Science, Vol. 3: Trigonometry, Vision, Surveying InstrumentsIf, as is usual and convenient, we take the radius of the circle as unit, the semicircumference is 3 141 5926, and therefore the length of an arc of one ancient degree is the 180th part of this or �7 4533, and that of one minute '000 2909. Or if we use the modern division of the circumference into 400 grades, one grade is 015 7080 and one mi...

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve ...

Excerpt from Progressive Lessons in Applied Science, Vol. 2: Solidity, Weight, and PressureA ¿at surface is said to he plans, we often speak of it as a plane, but by the word plane, as used in geometry, we mean an ideal excessively thin ¿at sheet (of paper, of glass, of mica as it were), extended in all directions, yet without materiality, so that we may imagine two such planes to cross each other.About the PublisherForgotten Books publishes h...

Excerpt from A Treatise on the Valuation of Life Contingencies Arranged for the Use of StudentsWhen two Students arrange to go on simultaneously, and to compare their work as they proceed, each one may get through twice as much work as if he had been alone. In such a case it may be well to take some Life Table and Rate of Interest which have not been previously taken as the foundation for Tables, as in this way additional information is obtain...

Excerpt from A New General Theory of the Teeth of WheelsThe whole subject may be condensed into one proposition in this way. Having arbitrarily prescribed the form of one toothed wheel A, and communicated to it, by any imaginable contrivance, the requi site angular velocity let a blank disc B turn alongside of A also with its appropriate motion. Trace now upon the blank surface the successive instantaneous outlines of the wheel A, and draw a c...

Excerpt from Progressive Lessons in Applied Science, Vol. 1: Geometry on PaperHand, thus the pure geometer pays no attention to the expansion of matter by heat, or to its change of shape by pressure, but the surveyor can neither neglect the.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books ...

Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. O...

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Excerpt from Progressive Lessons in Applied Science, Vol. 3: Trigonometry, Vision, Surveying Instruments If, as is usual and convenient, we take the radius of the circle as unit, the semicircumference is 3 141 5926, and therefore the length of an arc of one ancient degree is the 180th part of this or °017 4533, and that of one minute '000 2909. Or if we use the modern division of the circumference into 400 grades, one grade is 015 7080 and on...

Excerpt from Progressive Lessons in Applied Science, Vol. 1: Geometry on Paper Hand, thus the pure geometer pays no attention to the expansion of matter by heat, or to its change of shape by pressure, but the surveyor can neither neglect the. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotte...

Excerpt from A Treatise on the Valuation of Life Contingencies Arranged for the Use of Students In drawing up the following Treatise on the Valuation of Life Contingencies, I have been guided by the consideration that the greater number of those young men who begin the study of Life Assurance bring a very slight acquaintance with Algebra, or with the Science of Numbers, to assist them. In order to lead such Students gradually forward I have d...

Excerpt from A New General Theory of the Teeth of Wheels In the year 1837, a short paper, containing the general principle of the method of investigation followed in the present Work, was read before the Royal Scottish Society of Arts. Being intended for publication in the Society's Transactions, it was withdrawn for the purpose of having incorporated with it some new subjects which had subsequently presented themselves, but, on account of th...