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

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Page 5

Let this force incline the body towards the earth's centre, while it moves in the first

indefinitely small space of time of its descent; if after this the force be

cease, the body would proceed uniformly towards the centre of the earth, with ...

Let this force incline the body towards the earth's centre, while it moves in the first

indefinitely small space of time of its descent; if after this the force be

**supposed**tocease, the body would proceed uniformly towards the centre of the earth, with ...

Page 10

When the leading quantity of any algebraical expression has no sign, it is

added by means of the sign + placed between them. In the addition of Algebraic

Fractions, ...

When the leading quantity of any algebraical expression has no sign, it is

**supposed**to be affected with the sign +. Note 2. Unlike quantities can only beadded by means of the sign + placed between them. In the addition of Algebraic

Fractions, ...

Page 12

Some have attributed them to terrestrial, and others to lunar, volcanoes; they

have again been

our atmosphere; while others have considered them as small planets circulating

about ...

Some have attributed them to terrestrial, and others to lunar, volcanoes; they

have again been

**supposed**to be concretions actually formed in the regions ofour atmosphere; while others have considered them as small planets circulating

about ...

Page 15

It remained in the atmosphere only three quarters of an hour, during which it

traversed fifteen miles. Its sudden descent was

a rupture which had taken place when it ascended into the higher regions of the ...

It remained in the atmosphere only three quarters of an hour, during which it

traversed fifteen miles. Its sudden descent was

**supposed**to have been owing toa rupture which had taken place when it ascended into the higher regions of the ...

Page 16

... by means of a pair of bellows, when necessary; viz. whenever it was thought

proper to descend, it being

heavier, and the air in the outer balloon MATH E M ATICAL AND PHYSICAL

SCIENCE.

... by means of a pair of bellows, when necessary; viz. whenever it was thought

proper to descend, it being

**supposed**that the machine would thus becomeheavier, and the air in the outer balloon MATH E M ATICAL AND PHYSICAL

SCIENCE.

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

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

### 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.