A New Treatise of the Construction and Use of the Sector; Containing, the Solutions of the Principal Problems by That Admirable Instrument in the Chief Branches of Mathematicks ...

Author:   MR Cunn
Publisher:   Rarebooksclub.com
ISBN:  

9781130610550


Pages:   42
Publication Date:   06 March 2012
Format:   Paperback
Availability:   Not yet available   Availability explained
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A New Treatise of the Construction and Use of the Sector; Containing, the Solutions of the Principal Problems by That Admirable Instrument in the Chief Branches of Mathematicks ...


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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. 1729 Excerpt: ...of the Integral Places in the given Numbers, and conclude that 2, half the Remainder, is the Number of the Integral Places in the H 4 Mean Mean sought. Therefore the Mean sought is82Lj. If one or both an purely Decimals5 seek them as tho they were Integers by counting the Cyphers between the significant Places and the Place of Unity as negative Integers. And in valuing the Mean consider the Number of these Cyphers negatively. VI. To extract the Square Root of any given Number. Find a mean Proportional between that Number and Unity. It is the Square Root sought. So the Square Root of 4225 is 65, the mean Proportional between 4225 and 1. VII. To extract the Cube Root. The Integral Places of the Number given, consists of a Multitude which is either an exact Multiple of 35 or exceeds a Multiple of 3 by i5 or exceeds a Multiple of 3 by 2. If it exceeds a Multiple of 3 by i5 seek it in the first Line; if by 2 in the second. Divide the Distance between the Number and the first 1 into 3 equal Parts $ and that Point of Division which falls next the first 1 is the Cube Root sought. So 3 is the Cube Root of 27, 2 of 8, and 4 of 64. When the Places are in Multitude an exact Multiple of 3, seek it in the last Lines and divide the Distance between it and the last 1 into 3 equal Parts. And the Division next the last 1 shall be the Root sought So So the Cube Root of 512 is 8: The Cube Root of 125 is 5. The Multitude of Integral Places may be thus known. If those given do not exceed 3, there is but one Integral Place in the Root, If they do exceed 3 but not exceed 6, there will be 2. If they exceed 6 but not exceed 9, there will be 3, 3c. So the Cube Root of 1520L875 will be found by the Line to be exactly 11L5. VIIL Three Numbers being given to find a fourth in...

Full Product Details

Author:   MR Cunn
Publisher:   Rarebooksclub.com
Imprint:   Rarebooksclub.com
Dimensions:   Width: 18.90cm , Height: 0.20cm , Length: 24.60cm
Weight:   0.095kg
ISBN:  

9781130610550


ISBN 10:   1130610551
Pages:   42
Publication Date:   06 March 2012
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

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