Elementary arithmetic, with brief notices of its history... by Robert Potts.

23 square inch, what is the pressure in pounds on the surface of the human body, supposing it to be 15 square feet? What would be the,difference of the pressure when the barometer stands at 29 inches? 7. A wine merchant bought 5 pipes of wine for ~138 12s., and one pipe became damaged; at what rate per gallon must he sell the rennaining 4 pipes, so as not to be a loser by the purchase? XVII. 1. The sum of the diameters of the sun and the earth being 894056 miles, and the diameter of the sun being 112 times that of the earth, find the diameter of the earth. 2. Sir John W. Herschel reckoned that the length of the earth's polar diameter is 41,707,796 feet, which is within one furlong of five hundred and a half million inches. What is the exact difference? 3. The volume of the sun is reckoned about 1384500 times that of the earth, and the volume of the earth 80 times that of the moon; how many times does the volume of the sun contain that of the moon? 4. The distance of Mercury from the sun is 5917938 French nettres, and of Uranus 291720130; how many times lMercury's distance is the distance of Uranus from the sun? 5. If the planet Saturn be 908,723,000 miles distant from the sun, and the earth 91,713,000 miles, shew that Saturn is more than 9 times, but less than 10 times, the earth's distance from the sun. 6. The distance of the star a Centaurifrom the earth is reckoned to be about nineteen billion of miles, and the distance of the sun is about 91,713,000 miles; by how much is the star more distant than the sun? XVIII. 1. How many grains of gold are contained in lOlb. 1loz. 12dwts. 13grs.? Prove the truth of the result by the reverse process. 2. What is the weight of 125 bars of silver, of which there are 20, each weighing 31b. 5oz. 7dwts. 20grs.; 67, each weighing 71b. 3oz. 15dwts. 15grs.; and each of the remaining bars weighs 41b. loz. 17dwts. l7grs.? 3. If one pound Troy weight of Standard silver be coined into 66 shillings, how much silver would be required to coin a million shillings? 4. At the English mint 40 pounds of Standard gold are coined into 1869 sovereigns. What is the mint price per ounce Troy of Standard gold? 5. In the purchase and sale of bullion, bars of silver from 50 to 80 pounds Troy have an allowance over of 10 pennyweights, and ingots of gold from 15 to 20 pounds have 6 grains allowed; what are the amounts of the allowances on the purchase of 1000 pounds of gold, and on 1000llbs. of silver?

/ 389
Pages

Actions

file_download Download Options Download this page PDF - Pages 8-27 Image - Page 8 Plain Text - Page 8

About this Item

Title
Elementary arithmetic, with brief notices of its history... by Robert Potts.
Author
Potts, Robert, 1805-1885.
Canvas
Page 8
Publication
London,: Relfe bros.,
1876.
Subject terms
Arithmetic

Technical Details

Link to this Item
https://name.umdl.umich.edu/abu7012.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abu7012.0001.001/216

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abu7012.0001.001

Cite this Item

Full citation
"Elementary arithmetic, with brief notices of its history... by Robert Potts." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abu7012.0001.001. University of Michigan Library Digital Collections. Accessed June 8, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.