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

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Page 4

Again, let us imagine the sun's orbit not to be circular, but elliptical, and the earth

to be in its focus, then it is evident that the sun cannot appear to have a uniform

motion in such

...

Again, let us imagine the sun's orbit not to be circular, but elliptical, and the earth

to be in its focus, then it is evident that the sun cannot appear to have a uniform

motion in such

**ellipse**, and, therefore, his motion will be subject to two equations,...

Page 50

ARCH, or ARC, in Geometry, a part of a curve line: as of a circle,

Circular Anc, is any part of the arc of a circle, and by which the magnitudes of

angles are compared; an angle being said to contain so many degrees, minutes,

&c. as ...

ARCH, or ARC, in Geometry, a part of a curve line: as of a circle,

**ellipse**, &c.Circular Anc, is any part of the arc of a circle, and by which the magnitudes of

angles are compared; an angle being said to contain so many degrees, minutes,

&c. as ...

Page 59

He discovered that all the planets revolve about the sun, not in circular but in

elliptical orbits, having the sun in one of the foci of the

are not equable, but varying quicker or slower, as they are near to the sun, or

farther ...

He discovered that all the planets revolve about the sun, not in circular but in

elliptical orbits, having the sun in one of the foci of the

**ellipse**; that their motionsare not equable, but varying quicker or slower, as they are near to the sun, or

farther ...

Page 66

That all bodies which have a simple and direct motion, continue to move in a right

line, if some force, which operates without ceasing, does not constrain them to

describe a circle, an

That all bodies which have a simple and direct motion, continue to move in a right

line, if some force, which operates without ceasing, does not constrain them to

describe a circle, an

**ellipse**, or some other more complicated curve. 3. Page 70

Axis of a Conic Section. CoN1c Section. Transverse -\o and hyperbolo sing throu

nu See the

hyperbola it is the shortest diameter, but in the

Axis, or ...

Axis of a Conic Section. CoN1c Section. Transverse -\o and hyperbolo sing throu

nu See the

**ellipse**ter pasd the two principal vertices of the figure. In thehyperbola it is the shortest diameter, but in the

**ellipse**it is the longest. ConjugateAxis, or ...

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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.