## Dictionary of the Mathematical and Physical Sciences, According to the Latest Improvements and Discoveries |

### From inside the book

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Page 11

... are extremely curious, and in many instances astonishing. Musschenbroek

relates that two cylinders of glass, whose diameters were not quite two

being heated to the same degree as boiling water, and joined together by means

of ...

... are extremely curious, and in many instances astonishing. Musschenbroek

relates that two cylinders of glass, whose diameters were not quite two

**inches**,being heated to the same degree as boiling water, and joined together by means

of ...

Page 18

... and hence he concluded, that quicksilver, being about fourteen times as heavy

as water, would not be sustained at a greater height than twenty-nine or thirty

.

... and hence he concluded, that quicksilver, being about fourteen times as heavy

as water, would not be sustained at a greater height than twenty-nine or thirty

**inches**. He then made the experiment, called after him the Torricellian experiment.

Page 19

... that it was the weight of the atmosphere that counterpoised the column of

quicksilver. The medium of all these is about as one to 832, or one to 833; when

reduced to the pressure of thirty

temperature of ...

... that it was the weight of the atmosphere that counterpoised the column of

quicksilver. The medium of all these is about as one to 832, or one to 833; when

reduced to the pressure of thirty

**inches**of the barometer, and the meantemperature of ...

Page 32

T • Again, to find r, let us take the density at the surface, and at one foot above it,

which, when the thermometer stands at 31°, and barometer at 29%

found to be a = 0; d = 26057 A= 1 ; D = 26056 whence, 26057 A – a = 1 = r log.

T • Again, to find r, let us take the density at the surface, and at one foot above it,

which, when the thermometer stands at 31°, and barometer at 29%

**inches**, arefound to be a = 0; d = 26057 A= 1 ; D = 26056 whence, 26057 A – a = 1 = r log.

Page 55

It is likewise the name of an instrument formerly inuch used at sea for

ascertaining the altitude of the sun, stars, &c. which consisted of a brass ring

about fifteen

with an index ...

It is likewise the name of an instrument formerly inuch used at sea for

ascertaining the altitude of the sun, stars, &c. which consisted of a brass ring

about fifteen

**inches**in diameter, graduated into degrees and minutes, and fittedwith an index ...

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Dictionary of the Mathematical and Physical Sciences: According to the ... James Mitchell No preview available - 2017 |

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### Common terms and phrases

absciss Algebra altitude appears Arithmetic Astronomy axis body called centre circle co-efficients conic sections consequently cosine cube curve cycloid cylinder degree denominator denote diameter distance diurnal motion divided divisor earth ecliptic ellipse equa equal equation feet figure fluid fluxion force formula fraction frustrum Geometry given glass gravity greater greatest heat Hence horizon hyperbola inches instrument latitude length less logarithm longitude means measure mercury meridian method moon motion multiplied neral object observed orbit ordinate parabola parallax parallel passing perihelion perpendicular plane poles produced proportion quantity radius ratio rays refraction right angles right ascension right line roots side signs sine solid space specific gravity sphere spherical square stars subtangent supposed surd surface tangent telescope tion triangle tube velocity weight whence wind

### Popular passages

Page 456 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 524 - In higher works on trigonometry, it has been demonstrated that, in any triangle, the sines of the angles are proportional to the lengths of the sides opposite to them. In other words, sin A : sin B :: BC : AC; or, sin A : sin C:: BC : AB, and sin B : sin C::AC : A B. Hence, we have sin 44° 40' : sin 56° 20

Page 312 - A law presupposes an agent ; for it is only the mode, according to which an agent proceeds : it implies a power ; for it is the order, according to which that power acts. Without this agent, without this power, which are both distinct from itself, the law does nothing ; is nothing. The expression, ' the law of metallic nature...

Page 209 - ... winch, with as little labour as it takes to wind up a jack, though the weight of the iron, tin, and wooden circle, is about 1000 pounds.

Page 78 - In foul weather, when the mercury rises much and high, and so continues for two or three days before the foul weather is quite over, then expect a continuance of fair weather to follow.

Page 215 - Specific Gravity of a body is the relation of its weight, compared with the weight of some other body of the same magnitude. A body immersed in a fluid will sink if its specific gravity be greater than that of the fluid; but if it be less, the body will rise to the top, and will be only partly uncovered.

Page 490 - ... the object he views. There is no small speculum, but the magnifiers are applied immediately to the first focal image. From the opening of the telescope, near the place of the eye glass, a speaking-pipe runs down to the bottom of the tube, where it...

Page 412 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 467 - And in measuring any of these station-distances, mark accurately where these lines meet with any hedges, ditches, roads, lanes, paths, rivulets, &c ; and where any remarkable object is placed, by measuring its distance from the station-line ; and where a perpendicular From it cuts that line. And thus as you go along any main...

Page 15 - ... of the motion seemed to be from the upper part downwards. It appears also that they were in some danger of having the balloon burnt altogether; as the Marquis observed several round holes made by the fire in the lower part of it, which alarmed him considerably, and, indeed, not without reason.