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" Numbers z — i and z -+- 1 be even, and accordingly their Logarithms, and the Difference of the Logarithms will be had, which let be called y.: -Therefore... "
The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Page 469
by John Ward - 1747 - 480 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Let z be an odd Number, whpfe Logarithm is fought ; then fhall the Numbers z — i anas-!- i be even even, and accordingly their Logarithms, and the Difference...Therefore , alfo the Logarithm of a Number, which is a Geometrical Mean between z — i and z -j- i will be given, viz. equal to the half Sum of the Logarithms....
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The Elements. Of Plain and Spherical Trigonometry: Also a Short Treatise of ...

John Keill - Astronomy - 1726 - 176 pages
...Numbers. Let z be an odd Number, whofe Logarithm is fought ; then (hall the Numbers z — 1 and z -f- 1 be even, and accordingly their Logarithms, and the...of the Logarithms will be had, which let be called j>: Therefor e,alfo the Logarithm of a Number, which is a Geometrical-Mean between z — 1 and z -j-...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...Numbers. Let z be an odd Number, whofe Logarithm is fought ; then Ihall the Numbers z — i and z -+- 1 be even, and accordingly their Logarithms, and the...-Therefore, alfo the Logarithm of a Number, which is a Geometrical Mean between z — i and zfi will be given, -viz. equal to the half Sum of the Logarithms....
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...Logarithms of large Numbers. Let z be an odd Number, whofe Logarithm is fought ; then fhall the Numbers z — i and z+i be even, and accordingly their Logarithms,...Therefore, alfo, the Logarithm of a Number, which is a Geometrical Mean between Z — I and 2+1, will be given, viz. equal to the Half Sum of the Logarithms....
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...Numbers. Let z be an odd Number, whofe Logarithm is fought; then (hall the Numbers z — i and zf i be even, and accordingly their Logarithms, and the...Therefore, alfo, the Logarithm of a Number, which is a Geometrical Mean between z — I and z+ I, will be given, viz. equal to the Half Sum of the Logarithms....
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 4

William Nicholson - 1809 - 734 pages
...Thus, let z be an odd number, whose logarithm is sought: then shall the numbers z — 1 and г -f- 1 be even, and accordingly their logarithms, and the...logarithms will be had, which let be called y. Therefore, also the logarithm of a number, which is a geometrical mean between г — 1 and г-|-1, will be given,...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 4

William Nicholson - Natural history - 1809 - 700 pages
...is sought: then shall the numbers z — 1 and z-|-l be even, and accordingly their logarithms, aud the difference of the logarithms will be had, which let be called y. Therefore, also the logarithm of a number, which is a geometrical mean between z — 1 and z + 1, will be given,...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 7

William Nicholson - Natural history - 1821 - 406 pages
...numbers. Thus let t be an odd number, whose logarithm is sought : then shall the numbers z — 1 and z+1 be even, and accordingly their logarithms, and the...logarithms will be had, which let be called y. Therefore, also the logarithm of a number, which is a geometrical mean between z — 1 and z + 1, will be given,...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 7

William Nicholson - Natural history - 1821 - 408 pages
...numbers. Thus let s. be an odd number, whose logarithm is sought : then shall the numbers s — 1 and -4-1 be even, and accordingly their logarithms, and the...of the logarithms will be had, which let be called n. Therefore, also the logarithm of a number, which is a geometrical mean between z — 1 and * + 1,...
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