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" ... &c, namely, as the series of the odd numbers, which are the differences of the squares denoting the whole spaces. So that if the first series of natural numbers be seconds of time... "
A Compendium of Mechanics; Or; Text Book for Engineers, Mill-wrights ... - Page 42
by Robert Brunton - 1828 - 189 pages
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807 - 464 pages
...and the spaces as their squares 1, 4, 9, 16, 25, &t, and the space for each time as 1, 3, 5, 7, . 9, &c, namely, as the series of the odd numbers, which...denoting the whole spaces. So that if the first series of natural numbers be seconds of time, namely, 2", 1 namely, the times in seconds the velocities in feet...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 pages
...&c, and the spaces as their squares 1, 4, 9,16,25, &c, and the space for each time as 1, 3, 5, 7, 9, &c, namely, as the series of the odd numbers, which...denoting the whole spaces. So that if the first series of natural numbers be seconds of time, namely, namely, the times in seconds 1 ", 2", 3", 4", &c, the velocities...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 442 pages
...and the spaces as their squares 1, 4, 9, Hi, 25, &c, and the space for each time as 1, 3, 5, 7, 9, &c, namely, as the series of the odd numbers, which...squares denoting the whole spaces., So that if the first scries of natural numbers be seconds of time, namely, namely, the times in seconds l", 2", 3", 4",...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1812 - 624 pages
...the spaces as their squares 1, 4, 9, 16, 25, Sec, and the space for each time as 1, 3, 5, 7, 9, Sec, namely, as the series of the odd numbers, which are...denoting the whole spaces. So that if the first series of natural numbers be seconds of time, VOL. II. S namely, 130 OF MOTION, FORCES, Sec. 2", namely, the...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 2

Charles Hutton - 1816 - 618 pages
...&c. and the spaces as their squares 1,4,9, 16.35 Sec. and the space of each time as I, 3, 5, 7, 9. &c. namely, as the series of the odd numbers, which are the differences of the the squares denoting the whole spaces. So » that if the first series of natural number* be jecondb...
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A Course of Mathematics: For the Use of Academies, as Well as ..., Volume 2

Charles Hutton - 1818 - 652 pages
...and the spaces as their squares 1, 4, 9, »6, 2j, &c. and the space of each time as I, 3, 5, 7, 9, &.c. namely, as the series of the odd numbers, which...differences of the squares denoting the whole spaces. So ihat if the first series of natural numbers be seconds of time, V«t. II. 18 namely, 130 OF MOTION,...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - 1822 - 680 pages
...&c. and the spaces as their squares 1, 4, 9, 16, 25, 5ic. and the space of each time as 1,3,5, 7, 9, &c, • namely, as the series of the odd numbers,...denoting the whole spaces. So that if the first series of natural numbers be seconds of -tipae, VOL. II. 18 namely, 130 &c. iicv a b c namely, tbe times in seconds...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pages
...the spaces as their squares 1, 4, 9, 16, 2-5, &c. And the spaces for each time as 1 , 3, 5, /, 9 > namely, as the series of the odd numbers, which are...denoting the whole spaces. So that if the first series of natural numbers be seconds of time, Time in Seconds. \", 2", 3", 4", The velocities in feel will be...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1833 - 310 pages
...2 3 4 &c% The spaces as their squares 1 4 9 16 &c. and the spaces for each time, as ... 1 3 5 7 &o. namely, as the series of the odd numbers, which are...of time: ie 1" 2" 3" &c. Velocities in feet will be . . . .321 64J 96i &c. Spaces in the whole time will be . 16T'2 64J 144J &c. Spaces for each second...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1835 - 308 pages
...... 1 2 3 4 &c. The spaces as their squares .... 1 4 9 16 &c. and the spaces for each time, as ..1357 &c. namely, as the series of the odd numbers, which...if the first series of numbers be seconds of time : i. e 1" 8'.' 3" &c. Velocities in feet will be . . . . 32£ 64^ 96£ «fec. Spaces in the whole time...
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