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

### From inside the book

Page 2

The greatest aberration in latitude, is

star's latitude. 2. The aberration in latitude for any time is

by the sine of...the star's latitude, and the sine of elongation for the same time.

The greatest aberration in latitude, is

**equal**to 2011 multiplied by the sine of thestar's latitude. 2. The aberration in latitude for any time is

**equal**to 20" multipliedby the sine of...the star's latitude, and the sine of elongation for the same time.

Page 3

There are two species of aberration, distinguished according to their different

causes; the one arises from the figures of the speculum, or lens, producing a

geometrical dispersion of the rays, when these are perfectly

the ...

There are two species of aberration, distinguished according to their different

causes; the one arises from the figures of the speculum, or lens, producing a

geometrical dispersion of the rays, when these are perfectly

**equal**in all respects:the ...

Page 5

For, supposing gravity, or the earth's motion, to act uniformly on all bodies, at

falls to the earth to be divided into

incline ...

For, supposing gravity, or the earth's motion, to act uniformly on all bodies, at

**equal**distances from the earth's centre ; and that the time in which a heavy bodyfalls to the earth to be divided into

**equal**parts, indefinitely small. Let this forceincline ...

Page 36

A Right ANGLE is

supplement; and an Acute ANGLE is less. Hence, all right angles are

each is measured by a quadrant, or the fourth part of a circle. Wertically opposite

...

A Right ANGLE is

**equal**to its supplement; an Obtuse ANGLE is greater than itssupplement; and an Acute ANGLE is less. Hence, all right angles are

**equal**, andeach is measured by a quadrant, or the fourth part of a circle. Wertically opposite

...

Page 43

object at a greater distance. If the objects are parallel to each other, their real

diameters are, in this case, proportional to their distancess he apparent diameter

also varies with the position of the object and of

...

object at a greater distance. If the objects are parallel to each other, their real

diameters are, in this case, proportional to their distancess he apparent diameter

also varies with the position of the object and of

**equal**objects at**equal**distances,...

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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.