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Page 140

Or, Literary, Mathematical, and Philosophical Repository ... William Marrat,

Pishey Thompson. 4. Question answered by Mr. W. Allen, Burstwick. Produce the

sides of the octagon, f, as in the fig. and abed will be the

since ...

Or, Literary, Mathematical, and Philosophical Repository ... William Marrat,

Pishey Thompson. 4. Question answered by Mr. W. Allen, Burstwick. Produce the

sides of the octagon, f, as in the fig. and abed will be the

**square**required ; for,since ...

Page 143

Let a plane of one foot

upper edge is on a level with the surface of the water ; now if this plane be

supposed to move at the rate of one mile in an hour, required the whole pressure

it has ...

Let a plane of one foot

**square**be immersed perpendicularly in salt water, till itsupper edge is on a level with the surface of the water ; now if this plane be

supposed to move at the rate of one mile in an hour, required the whole pressure

it has ...

Page 273

Let 1, x and x + 1 represent the required numbers, then by the question (x -j- 1 —

x) X 1 = 1, (x + 1 — I) X x = x2, and (x — 1) X (x -f- 1) are to be squares ; the two

first are already squares, and to make the last, or (x — l) X (*' l) — x' — la

...

Let 1, x and x + 1 represent the required numbers, then by the question (x -j- 1 —

x) X 1 = 1, (x + 1 — I) X x = x2, and (x — 1) X (x -f- 1) are to be squares ; the two

first are already squares, and to make the last, or (x — l) X (*' l) — x' — la

**square**,...

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