The key to the tutor's guide: or, The arithmeticians repository: Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London
Printed for G. Robinson, in Paster-noster Row
MDCCLXXIII. [1773]
|
Schlagworte: | |
Online-Zugang: | UEI01 BSB01 LCO01 SBR01 UBA01 UBG01 UBM01 UBR01 UBT01 UER01 Volltext |
Beschreibung: | English Short Title Catalog, N33380 Reproduction of original from "Department of Special Collections, Kenneth Spencer Research Library, University of Kansas |
Beschreibung: | Online-Ressource (viii,364Seiten,plate) port 12° |
Internformat
MARC
LEADER | 00000nmm a22000001c 4500 | ||
---|---|---|---|
001 | BV049249282 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 230822s1773 xxk|||| o||u| ||||||eng d | ||
035 | |a (ZDB-1-ECC)NLM006900127 | ||
035 | |a (OCoLC)1422377486 | ||
035 | |a (DE-599)GBVNLM006900127 | ||
040 | |a DE-604 |b ger | ||
041 | 0 | |a eng | |
044 | |a xxk |c XA-GB | ||
049 | |a DE-12 |a DE-70 |a DE-155 |a DE-384 |a DE-473 |a DE-19 |a DE-355 |a DE-703 |a DE-824 |a DE-29 |a DE-11 | ||
100 | 1 | |a Vyse, Charles |d fl. 1770-1815 |e Verfasser |4 aut | |
245 | 1 | 0 | |a The key to the tutor's guide: or, The arithmeticians repository |b Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
264 | 1 | |a London |b Printed for G. Robinson, in Paster-noster Row |c MDCCLXXIII. [1773] | |
300 | |a Online-Ressource (viii,364Seiten,plate) |b port |c 12° | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a English Short Title Catalog, N33380 | ||
500 | |a Reproduction of original from "Department of Special Collections, Kenneth Spencer Research Library, University of Kansas | ||
533 | |a Online-Ausg |b Farmington Hills, Mich |c Cengage Gale |d 2009 |f Eighteenth Century Collections Online |n Electronic reproduction; Available via the World Wide Web |7 |2009|||||||||| | ||
650 | 4 | |a Arithmetic |v Early works to 1800 | |
856 | 4 | 0 | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |x Verlag |3 Volltext |
912 | |a ZDB-1-ECC | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-034510638 | ||
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UEI01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l BSB01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l LCO01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l SBR01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UBA01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UBG01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UBM01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UBR01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UBT01 |p ZDB-1-ECC |x Verlag |3 Volltext | |
966 | e | |u http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |l UER01 |p ZDB-1-ECC |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804185710244134912 |
---|---|
adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | Vyse, Charles fl. 1770-1815 |
author_facet | Vyse, Charles fl. 1770-1815 |
author_role | aut |
author_sort | Vyse, Charles fl. 1770-1815 |
author_variant | c v cv |
building | Verbundindex |
bvnumber | BV049249282 |
collection | ZDB-1-ECC |
ctrlnum | (ZDB-1-ECC)NLM006900127 (OCoLC)1422377486 (DE-599)GBVNLM006900127 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03545nmm a22004571c 4500</leader><controlfield tag="001">BV049249282</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">230822s1773 xxk|||| o||u| ||||||eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-1-ECC)NLM006900127</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1422377486</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVNLM006900127</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxk</subfield><subfield code="c">XA-GB</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-70</subfield><subfield code="a">DE-155</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vyse, Charles</subfield><subfield code="d">fl. 1770-1815</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The key to the tutor's guide: or, The arithmeticians repository</subfield><subfield code="b">Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Printed for G. Robinson, in Paster-noster Row</subfield><subfield code="c">MDCCLXXIII. [1773]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">Online-Ressource (viii,364Seiten,plate)</subfield><subfield code="b">port</subfield><subfield code="c">12°</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">English Short Title Catalog, N33380</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Reproduction of original from "Department of Special Collections, Kenneth Spencer Research Library, University of Kansas</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="a">Online-Ausg</subfield><subfield code="b">Farmington Hills, Mich</subfield><subfield code="c">Cengage Gale</subfield><subfield code="d">2009</subfield><subfield code="f">Eighteenth Century Collections Online</subfield><subfield code="n">Electronic reproduction; Available via the World Wide Web</subfield><subfield code="7">|2009||||||||||</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Arithmetic</subfield><subfield code="v">Early works to 1800</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-ECC</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034510638</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UEI01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">LCO01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">SBR01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UBR01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc</subfield><subfield code="l">UER01</subfield><subfield code="p">ZDB-1-ECC</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV049249282 |
illustrated | Not Illustrated |
index_date | 2024-07-03T22:36:59Z |
indexdate | 2024-07-10T09:59:33Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034510638 |
oclc_num | 1422377486 |
open_access_boolean | |
owner | DE-12 DE-70 DE-155 DE-BY-UBR DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-824 DE-29 DE-11 |
owner_facet | DE-12 DE-70 DE-155 DE-BY-UBR DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-824 DE-29 DE-11 |
physical | Online-Ressource (viii,364Seiten,plate) port 12° |
psigel | ZDB-1-ECC |
publishDate | 1773 |
publishDateSearch | 1773 |
publishDateSort | 1773 |
publisher | Printed for G. Robinson, in Paster-noster Row |
record_format | marc |
spelling | Vyse, Charles fl. 1770-1815 Verfasser aut The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand London Printed for G. Robinson, in Paster-noster Row MDCCLXXIII. [1773] Online-Ressource (viii,364Seiten,plate) port 12° txt rdacontent c rdamedia cr rdacarrier English Short Title Catalog, N33380 Reproduction of original from "Department of Special Collections, Kenneth Spencer Research Library, University of Kansas Online-Ausg Farmington Hills, Mich Cengage Gale 2009 Eighteenth Century Collections Online Electronic reproduction; Available via the World Wide Web |2009|||||||||| Arithmetic Early works to 1800 http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc Verlag Volltext |
spellingShingle | Vyse, Charles fl. 1770-1815 The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand Arithmetic Early works to 1800 |
title | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_auth | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_exact_search | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_exact_search_txtP | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_full | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_fullStr | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_full_unstemmed | The key to the tutor's guide: or, The arithmeticians repository Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
title_short | The key to the tutor's guide: or, The arithmeticians repository |
title_sort | the key to the tutor s guide or the arithmeticians repository containing the solutions of the questions c that are in the guide with the references as they stand in the second edition to which is added where necessary some useful rules c as those for the attaining a thorough knowledge of circulating numbers likewise an appendix shewing the combination of quantities the different ways they may be varied with the method of filling the magic squares c the whole being principally designed for the ease of school masters and with the guide furnishes a more complete and extensive system of arithmetic than any extant and will enable all those who are acquainted with the first principles to attain a competent knowledge of the several rules with ease and precision by charles vyse teacher of the mathematics and master of the academy in old round court strand |
title_sub | Containing the solutions of the questions, &c. that are in the guide; with the references as they stand in the second edition. To which is added (where necessary) some useful rules, &c. As those for the attaining a thorough knowledge of circulating numbers. Likewise an appendix, shewing the combination of quantities; the different ways they may be varied; with the method of filling the magic squares, &c. The whole being principally designed for the ease of school masters, and with the guide, furnishes a more complete and extensive system of arithmetic, than any extant; and will enable all those who are acquainted with the first principles, to attain a competent knowledge of the several rules, with ease and precision. By Charles Vyse, teacher of the mathematics, and master of the academy in Old Round Court, Strand |
topic | Arithmetic Early works to 1800 |
topic_facet | Arithmetic Early works to 1800 |
url | http://nl.sub.uni-goettingen.de/id/1305100500?origin=/collection/nlh-ecc |
work_keys_str_mv | AT vysecharles thekeytothetutorsguideorthearithmeticiansrepositorycontainingthesolutionsofthequestionscthatareintheguidewiththereferencesastheystandinthesecondeditiontowhichisaddedwherenecessarysomeusefulrulescasthosefortheattainingathoroughknowledgeofcirculatingnumbers |