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

### From inside the book

Page 388

For the the iniddle point of EF , or its < NGD will then be

projected into S ; and alt AGL , by Cor . 2 , Prop . 4 ; and , the points in Pp , in

which are all therefore , GLH is truly projected . the centres , are projected into Dd

. N. B. Of ...

For the the iniddle point of EF , or its < NGD will then be

**equal**to centre , isprojected into S ; and alt AGL , by Cor . 2 , Prop . 4 ; and , the points in Pp , in

which are all therefore , GLH is truly projected . the centres , are projected into Dd

. N. B. Of ...

Page 454

... are such as have the angles the equation must be taken , as of the one

respectively

the is , if it be the square root , the sides about those angles propor- known

quaptity must ...

... are such as have the angles the equation must be taken , as of the one

respectively

**equal**to will destroy the radicality ; that the angles of the other , andthe is , if it be the square root , the sides about those angles propor- known

quaptity must ...

Page 531

In any triangle the rectangle o equiangular triangle . of any two sides is

the 2. An Isosceles TRIANGLE , is that rectangle of the perpendicular on vhich

has only two of its sides the third side , and the diameter of qual . The angles at

the ...

In any triangle the rectangle o equiangular triangle . of any two sides is

**equal**tothe 2. An Isosceles TRIANGLE , is that rectangle of the perpendicular on vhich

has only two of its sides the third side , and the diameter of qual . The angles at

the ...

Page 533

If the three sides of a spherj.eniployed in arithmetical calcula . cal triangle be

be

times ...

If the three sides of a spherj.eniployed in arithmetical calcula . cal triangle be

**equal**to each other , tions ; but it is now rendered use . the three angles will alsobe

**equal**; less , by the numerous improve . and vice versa . ments of moderntimes ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

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

according altitude angle appears axis base becomes body called cause centre circle common consequently considered consists contained continued curve denote described determined diameter direction distance divided drawn earth effect equal equation expressed fall feet figure fixed fluid force former four fraction Geometry give given glass gravity greater greatest half heat Hence horizon inches increase kind known latitude latter length less light means measure method moon motion move multiplied nature nearly object observed opposite orbit parallel passing perpendicular plane pole position principles problem produced proportion quantity radius ratio rays represent roots rule side signs sine solid space sphere square stars supposed surface tangent term tion triangle true velocity weight whence whole wind

### Popular passages

Page 440 - 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 510 - 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 294 - 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 205 - ... 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 76 - 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 211 - 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 478 - ... 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 398 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 459 - 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 13 - ... 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.