Reconstruction of de Decker-Vlacq's 1628 Table of Common Logarithms

Initializing live version

Common logarithms from 16501 to 16650

Num.	Logarithmi	Differ.	Num.	Logarithmi	Differ.	Num.	Logarithmi	Differ.
16501	4,21751,02642	2,63184	16551	4,21882,42386	2,62389	16601	4,22013,42495	2,61599
16502	4,21753,65827	2,63168	16552	4,21885,04776	2,62373	16602	4,22016,04095	2,61583
16503	4,21756,28996	2,63152	16553	4,21887,67150	2,62358	16603	4,22018,65679	2,61568
16504	4,21758,92149	2,63137	16554	4,21890,29508	2,62342	16604	4,22021,27247	2,61552
16505	4,21761,55286	2,63121	16555	4,21892,91850	2,62326	16605	4,22023,88799	2,61536
16506	4,21764,18407	2,63105	16556	4,21895,54177	2,62310	16606	4,22026,50335	2,61520
16507	4,21766,81512	2,63089	16557	4,21898,16487	2,62294	16607	4,22029,11856	2,61505
16508	4,21769,44602	2,63073	16558	4,21900,78782	2,62278	16608	4,22031,73361	2,61489
16509	4,21772,07675	2,63057	16559	4,21903,41061	2,62263	16609	4,22034,34850	2,61473
16510	4,21774,70732	2,63041	16560	4,21906,03324	2,62247	16610	4,22036,96324	2,61457
16511	4,21777,33774	2,63025	16561	4,21908,65571	2,62231	16611	4,22039,57782	2,61442
16512	4,21779,96799	2,63009	16562	4,21911,27803	2,62215	16612	4,22042,19224	2,61426
16513	4,21782,59808	2,62993	16563	4,21913,90018	2,62199	16613	4,22044,80650	2,61410
16514	4,21785,22802	2,62977	16564	4,21916,52218	2,62183	16614	4,22047,42061	2,61394
16515	4,21787,85780	2,62961	16565	4,21919,14402	2,62168	16615	4,22050,03456	2,61379
16516	4,21790,48742	2,62945	16566	4,21921,76570	2,62152	16616	4,22052,64835	2,61363
16517	4,21793,11687	2,62929	16567	4,21924,38722	2,62136	16617	4,22055,26198	2,61347
16518	4,21795,74617	2,62913	16568	4,21927,00858	2,62120	16618	4,22057,87546	2,61331
16519	4,21798,37531	2,62898	16569	4,21929,62979	2,62104	16619	4,22060,48878	2,61316
16520	4,21801,00429	2,62882	16570	4,21932,25084	2,62088	16620	4,22063,10194	2,61300
16521	4,21803,63312	2,62866	16571	4,21934,87173	2,62073	16621	4,22065,71494	2,61284
16522	4,21806,26178	2,62850	16572	4,21937,49246	2,62057	16622	4,22068,32779	2,61269
16523	4,21808,89028	2,62834	16573	4,21940,11303	2,62041	16623	4,22070,94048	2,61253
16524	4,21811,51863	2,62818	16574	4,21942,73345	2,62025	16624	4,22073,55302	2,61237
16525	4,21814,14681	2,62802	16575	4,21945,35370	2,62009	16625	4,22076,16539	2,61221
16526	4,21816,77484	2,62786	16576	4,21947,97380	2,61994	16626	4,22078,77761	2,61206
16527	4,21819,40270	2,62770	16577	4,21950,59374	2,61978	16627	4,22081,38967	2,61190
16528	4,21822,03041	2,62754	16578	4,21953,21353	2,61962	16628	4,22084,00158	2,61174
16529	4,21824,65796	2,62739	16579	4,21955,83315	2,61946	16629	4,22086,61333	2,61159
16530	4,21827,28535	2,62723	16580	4,21958,45262	2,61930	16630	4,22089,22492	2,61143
16531	4,21829,91258	2,62707	16581	4,21961,07193	2,61915	16631	4,22091,83635	2,61127
16532	4,21832,53966	2,62691	16582	4,21963,69108	2,61899	16632	4,22094,44763	2,61111
16533	4,21835,16657	2,62675	16583	4,21966,31007	2,61883	16633	4,22097,05875	2,61096
16534	4,21837,79332	2,62659	16584	4,21968,92890	2,61867	16634	4,22099,66971	2,61080
16535	4,21840,41992	2,62643	16585	4,21971,54758	2,61851	16635	4,22102,28052	2,61064
16536	4,21843,04636	2,62627	16586	4,21974,16610	2,61836	16636	4,22104,89116	2,61049
16537	4,21845,67264	2,62611	16587	4,21976,78446	2,61820	16637	4,22107,50166	2,61033
16538	4,21848,29875	2,62596	16588	4,21979,40266	2,61804	16638	4,22110,11199	2,61017
16539	4,21850,92471	2,62580	16589	4,21982,02071	2,61788	16639	4,22112,72217	2,61002
16540	4,21853,55052	2,62564	16590	4,21984,63860	2,61772	16640	4,22115,33219	2,60986
16541	4,21856,17616	2,62548	16591	4,21987,25633	2,61757	16641	4,22117,94205	2,60970
16542	4,21858,80164	2,62532	16592	4,21989,87390	2,61741	16642	4,22120,55176	2,60955
16543	4,21861,42697	2,62516	16593	4,21992,49131	2,61725	16643	4,22123,16131	2,60939
16544	4,21864,05214	2,62500	16594	4,21995,10857	2,61709	16644	4,22125,77071	2,60923
16545	4,21866,67714	2,62484	16595	4,21997,72567	2,61694	16645	4,22128,37994	2,60908
16546	4,21869,30199	2,62469	16596	4,22000,34261	2,61678	16646	4,22130,98902	2,60892
16547	4,21871,92669	2,62453	16597	4,22002,95939	2,61662	16647	4,22133,59795	2,60876
16548	4,21874,55122	2,62437	16598	4,22005,57602	2,61646	16648	4,22136,20672	2,60861
16549	4,21877,17559	2,62421	16599	4,22008,19249	2,61631	16649	4,22138,81533	2,60845
16550	4,21879,79981	2,62405	16600	4,22010,80880	2,61615	16650	4,22141,42378	2,60829

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This Demonstration reconstructs de Decker-Vlacq's table of common logarithms from Arithmetica Logarithmica (1628). The table consists of logarithms for numbers from 1 to 100000, 150 on each page. A page consists of three columns, each of 50 lines. A line consists of the number , calculated to 10 decimals, and the difference .

Contributed by: Izidor Hafner (December 2013)
Open content licensed under CC BY-NC-SA

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This reconstruction is based on [1], with much interesting historical data.

Reference

[1] D. Roegel. "A Reconstruction of De Decker-Vlacq's Tables in the Arithmetica logarithmica (1628)." (Dec 5, 2013) hal.archives-ouvertes.fr/docs/00/54/39/41/PDF/vlacq1628doc.pdf.

Permanent Citation

Izidor Hafner "Reconstruction of de Decker-Vlacq's 1628 Table of Common Logarithms"
http://demonstrations.wolfram.com/ReconstructionOfDeDeckerVlacqs1628TableOfCommonLogarithms/
Wolfram Demonstrations Project
Published: December 6 2013


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Reconstruction of de Decker-Vlacq's 1628 Table of Common Logarithms

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