A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy download PDF, EPUB, Kindle
A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy download PDF, EPUB, Kindle
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Author: Charles Hutton
Number of Pages: 112 pages
Published Date: 01 May 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
ISBN: 9781235998034
File size: 34 Mb
File Name: A.Course.of.Mathematics.Volume.2;.In.Three.Volumes.Composed.for.the.Use.of.the.Royal.Military.Academy.pdf
Download Link: A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1811 Excerpt: ...greater number of sides, finding the centres of their component triangles and trapeziums, and then finding the common centre of every two of these, till they be all reduced into one only. Of the use of the place of the centre of gravity, and the nature of forces, the following practical problems are added; viz, to find the force of a bank of earth pressing against a wall, and the force of the wall to support it; also the push of an arch, with the thickness of the piers necessary to support it; also the strength and stress of beams and bars of timber and metal, &c. PROPOSITION XLV. 233. To determine tie Force with which a Bank of Earth, or such like, presses against a Wall, and the Dimensions of the Wall necessary to Support it. Let Acde be a vertical section of a bank of earth; and suppose, that if it were not supported, a triangular part of it, as Abe, would slide down, leaving if "at what is called the natural slope Be; but that, by means of a wall Aefg, it is supported, and kept in its place.--It is required to find the force of Abe, to slide down, and the dimensions of the wall Aefg, to support it. Let H be the centre of gravity of the triangle Abe, through which draw Khi parallel to the slope face of the earth Be. Now the centre of gravity H may be accounted the place of the triangle Abe, or the point into which it is all collected. Draw Hl parallel, and Kp perpendicular to Ae, also Kl perp. to Ik or Be. Then if Hl represent the force of the triangle Abe in its natural direction Hl, Hk will denote its force in its direction Hk, and Pk the same force in the direction Pk, perpendicular to the lever Ek, on which it acts. Now the three triangles Eab, Hkl, Hkp are all similar; therefore Eb: Ea:: (hl: Hk:: ) w the weight of the triangle Eab: --iu, whi...
Read online A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy Buy A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy Download and read A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy. Charles Hutton
Author: Charles Hutton
Number of Pages: 112 pages
Published Date: 01 May 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
ISBN: 9781235998034
File size: 34 Mb
File Name: A.Course.of.Mathematics.Volume.2;.In.Three.Volumes.Composed.for.the.Use.of.the.Royal.Military.Academy.pdf
Download Link: A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy
---------------------------------------------------------------
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1811 Excerpt: ...greater number of sides, finding the centres of their component triangles and trapeziums, and then finding the common centre of every two of these, till they be all reduced into one only. Of the use of the place of the centre of gravity, and the nature of forces, the following practical problems are added; viz, to find the force of a bank of earth pressing against a wall, and the force of the wall to support it; also the push of an arch, with the thickness of the piers necessary to support it; also the strength and stress of beams and bars of timber and metal, &c. PROPOSITION XLV. 233. To determine tie Force with which a Bank of Earth, or such like, presses against a Wall, and the Dimensions of the Wall necessary to Support it. Let Acde be a vertical section of a bank of earth; and suppose, that if it were not supported, a triangular part of it, as Abe, would slide down, leaving if "at what is called the natural slope Be; but that, by means of a wall Aefg, it is supported, and kept in its place.--It is required to find the force of Abe, to slide down, and the dimensions of the wall Aefg, to support it. Let H be the centre of gravity of the triangle Abe, through which draw Khi parallel to the slope face of the earth Be. Now the centre of gravity H may be accounted the place of the triangle Abe, or the point into which it is all collected. Draw Hl parallel, and Kp perpendicular to Ae, also Kl perp. to Ik or Be. Then if Hl represent the force of the triangle Abe in its natural direction Hl, Hk will denote its force in its direction Hk, and Pk the same force in the direction Pk, perpendicular to the lever Ek, on which it acts. Now the three triangles Eab, Hkl, Hkp are all similar; therefore Eb: Ea:: (hl: Hk:: ) w the weight of the triangle Eab: --iu, whi...
Read online A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy Buy A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy Download and read A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook A Course of Mathematics Volume 2; In Three Volumes Composed for the Use of the Royal Military Academy ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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