Example 2.
There is a Cask or Vessel whose Diameter at Bung is 22 Inches, his Diameter at Head 16 Inches, and his Length 36 Inches. I do
Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks.
About this Item
- Title
- Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks.
- Author
- Chamberlain, Robert, fl. 1678-1679.
- Publication
- London :: Printed for John Clark ...,
- 1679.
- Rights/Permissions
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To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
- Subject terms
- Mathematics -- Early works to 1800.
- Link to this Item
-
http://name.umdl.umich.edu/A31565.0001.001
- Cite this Item
-
"Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A31565.0001.001. University of Michigan Library Digital Collections. Accessed April 27, 2025.
Pages
Page 334
desire to know how many Gallons of Ale measure it doth contain? out of the re∣spective Table for Ale measure I find the Diameter at the Bung 22 Inches, and against it this number 450, which I set down twice, I also find out the Diameter at head 16 Inches in the same Table, and against it I find the number 238, which I set down as you see. Add all these together and their Sum will be 1138, which multiply by 36, the length of the Cask or Vessel, the Pro∣duct will be 40: 968, and cutting off three figures towards the right hand, there re∣mains 40, which sheweth the Cask doth contain of Ale measure 40 Gallons 968/1000.
| Diameter at Bung | 22 | 0 | 450 |
| The same again | 0 | 450 | |
| Diameter at Head | 16 | 0 | 238 |
| 1 | 138 | ||
| 36 | |||
| 6 | 828 | ||
| 34 | 14 | ||
| Content in Gallons | 40 | 968/1000 |
Page 335
| Inc | Ale | Inc | measure | Inc | Wine | Inc | measure. | ||||
| 1 | 0 | 001 | 31 | 0 | 892 | 1 | 0 | 001 | 31 | 1 | 089 |
| 2 | 0 | 004 | 32 | 0 | 951 | 2 | 0 | 005 | 32 | 1 | 160 |
| 3 | 0 | 008 | 33 | 1 | 011 | 3 | 0 | 010 | 33 | 1 | 234 |
| 4 | 0 | 015 | 34 | 1 | 073 | 4 | 0 | 016 | 34 | 1 | 310 |
| 5 | 0 | 023 | 35 | 1 | 137 | 5 | 0 | 028 | 35 | 1 | 388 |
| 6 | 0 | 032 | 36 | 1 | 203 | 6 | 0 | 041 | 36 | 1 | 469 |
| 7 | 0 | 045 | 37 | 1 | 271 | 7 | 0 | 056 | 37 | 1 | 551 |
| 8 | 0 | 059 | 38 | 1 | 341 | 8 | 0 | 072 | 38 | 1 | 636 |
| 9 | 0 | 075 | 39 | 1 | 412 | 9 | 0 | 092 | 39 | 1 | 724 |
| 10 | 0 | 093 | 40 | 1 | 485 | 10 | 0 | 113 | 40 | 1 | 813 |
| 11 | 0 | 112 | 41 | 1 | 561 | 11 | 0 | 137 | 41 | 1 | 904 |
| 12 | 0 | 134 | 42 | 1 | 638 | 12 | 0 | 163 | 42 | 2 | 000 |
| 13 | 0 | 157 | 43 | 1 | 717 | 13 | 0 | 192 | 43 | 2 | 096 |
| 14 | 0 | 182 | 44 | 1 | 797 | 14 | 0 | 221 | 44 | 2 | 194 |
| 15 | 0 | 208 | 45 | 1 | 880 | 15 | 0 | 255 | 45 | 2 | 295 |
| 16 | 0 | 238 | 46 | 1 | 965 | 16 | 0 | 296 | 46 | 2 | 398 |
| 17 | 0 | 264 | 47 | 2 | 051 | 17 | 0 | 328 | 47 | 2 | 504 |
| 18 | 0 | 301 | 48 | 2 | 139 | 18 | 0 | 367 | 48 | 2 | 611 |
| 19 | 0 | 335 | 49 | 2 | 219 | 19 | 0 | 409 | 49 | 2 | 721 |
| 20 | 0 | 371 | 50 | 2 | 321 | 20 | 0 | 453 | 50 | 2 | 833 |
| 21 | 0 | 409 | 51 | 2 | 415 | 21 | 0 | 500 | 51 | 2 | 948 |
| 22 | 0 | 450 | 52 | 2 | 510 | 22 | 0 | 548 | 52 | 3 | 065 |
| 23 | 0 | 491 | 53 | 2 | 608 | 23 | 0 | 600 | 53 | 3 | 184 |
| 24 | 0 | 535 | 54 | 2 | 707 | 24 | 0 | 653 | 54 | 3 | 305 |
| 25 | 0 | 580 | 55 | 2 | 808 | 25 | 0 | 708 | 55 | 3 | 428 |
| 26 | 0 | 628 | 56 | 2 | 911 | 26 | 0 | 766 | 56 | 3 | 554 |
| 27 | 0 | 677 | 57 | 3 | 016 | 27 | 0 | 826 | 57 | 3 | 682 |
| 28 | 0 | 728 | 58 | 3 | 123 | 28 | 0 | 888 | 58 | 3 | 813 |
| 29 | 0 | 781 | 59 | 3 | 232 | 29 | 0 | 933 | 59 | 3 | 945 |
| 30 | 0 | 836 | 60 | 3 | 341 | 30 | 1 | 020 | 60 | 4 | 080 |