This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1730 edition. Excerpt: ...same Value of A K., Therefore if the Equation above found be thrown into Fluxions, with u and z, taen as constant Quantities, the Point C will be determined to be that of the Intersection aforesaid. Whence zzxx=lufy--Ztyt--any: And W (k) =g=, bysub stituting Zux3utyfor z. and the Nature of the Curve A ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1730 edition. Excerpt: ...same Value of A K., Therefore if the Equation above found be thrown into Fluxions, with u and z, taen as constant Quantities, the Point C will be determined to be that of the Intersection aforesaid. Whence zzxx=lufy--Ztyt--any: And W (k) =g=, bysub stituting Zux3utyfor z. and the Nature of the Curve A MB being given, we may find a Value of j in x; which being put in the Value of AK, the said unknown Quantity will at length be expressed in known Terms freed fronl Fluxions. Which was proposed to be dbne. If other Curves or right Lines of a determinate Position, be proposed instead of the Parabola's (AMC), the Solution of the Problem will be much the fame, as will appear in the following Example. Example. 1 147.T Et xx--i ay--j.yy express the Nature of the Curve A MB: This will be half an Ellipsis, whose conjugate Axis is AB equal to a, and perpendicular' to AP, and transverse Axis the Double of the Conjugate. Now xx=zay--yy', and therefore AK (iStygRiSLitm, Whence if AK-v xylyx s y be affumed a fourth Proportional to MP, PA, AB, and K C be drawn perpendicular to AK, it shall intersect: theParaboia AMC in the Point C sought. Again j to'find the Nature of the Curve touching all the Parabola's, or which passes thro' all the Points C thus found, we must find an Equiation expressing the Relation of AK () to KC () after this manner. Substitute---for u its Equal in zxx--zuxy--my9 and we get j= "aa y and therefore x or-2 t au--. Now if these Values be put for x za---z r and y in Aw =407--yy there will arise = ipo---j Z) wherein x and y are got out, and which expresses the Relation of AK to KC. Therefore it is manifest, that the Curve sought is a Parabola, whereof the Line BA is the Axis, the Point B the Vertex, ...
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Add this copy of The Method of Fluxions Both Direct and Inverse to cart. $31.29, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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Add this copy of The Method of Fluxions Both Direct and Inverse to cart. $40.22, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of The Method of Fluxions Both Direct and Inverse to cart. $43.31, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of The Method of Fluxions Both Direct and Inverse to cart. $44.86, new condition, Sold by Paperbackshop International rated 4.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
