## A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ... |

### From inside the book

Results 1-5 of 63

Page 5

I-25.T.H +8° go a?, a? = a- +o, -o,+&c. - a” a" a" - •= 1 -o,+3.1-2.5 + &c. a at 6 - = 1-

34-31-Haj4 &c.

Then, the number of minutes in 180° being 10800, it will be first, as 10800 : 1 ...

I-25.T.H +8° go a?, a? = a- +o, -o,+&c. - a” a" a" - •= 1 -o,+3.1-2.5 + &c. a at 6 - = 1-

34-31-Haj4 &c.

**ExAM**. I. If it be required to find the sine and cosine of 1 minute.Then, the number of minutes in 180° being 10800, it will be first, as 10800 : 1 ...

Page 22

Z B 73° 15' - 9°981 171 To op. side Ac 306-19 - 2'48.5995

edge of a ditch, of 36 feet wide, surrounding a fort, having taken the angle of

elevation of the top of the wall, it was found to be 62° 40': required the height of

the wall, ...

Z B 73° 15' - 9°981 171 To op. side Ac 306-19 - 2'48.5995

**Exam**. vi. From theedge of a ditch, of 36 feet wide, surrounding a fort, having taken the angle of

elevation of the top of the wall, it was found to be 62° 40': required the height of

the wall, ...

Page 23

distance from it, on the same horizontal plane, I took its angle of elevation equal

to 58°; then going 300 feet directly from it, found the angle there to be only 32°: ...

**ExAM**. x111. Wanting to know the height of an inaccessible tower; at the leastdistance from it, on the same horizontal plane, I took its angle of elevation equal

to 58°; then going 300 feet directly from it, found the angle there to be only 32°: ...

Page 24

7936

shallowness of the water, kept so far from it, that they suspect their guns cannot

reach it with effect. In order therefore to measure the distance, they separate from

...

7936

**ExAM**. xviii. Two ships of war, intending to cannonade a fort, are, by theshallowness of the water, kept so far from it, that they suspect their guns cannot

reach it with effect. In order therefore to measure the distance, they separate from

...

Page 25

were seen at a distance on the other side of a river, I measured a base line along

the side where I was, of 600 yards, and at each end of it took the angles ...

**ExAM**. xxii.1. Wanting to know the distance between a house and a mill, whichwere seen at a distance on the other side of a river, I measured a base line along

the side where I was, of 600 yards, and at each end of it took the angles ...

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absciss altitude angle axis ball base beam body breadth centre of gravity circle circular segment circumference column cone consequently Corol Cosine Cotang cube cubic curve cycloid cylinder denote density descending diameter direction distance divided draw drawn ellipse equal equation ExAM feet figure find the area find the fluent fluid foot force frustum half Hence hyperbola inches inclined plane length lever logarithms measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perp perpendicular pressure PROBLEM prop proportion PROPOSITION quantity QUEST quicksilver radius ratio rectangle resistance right-angled SCHOLIUM secant segment side similar triangles sine solid space specific gravity square supposing surface Tang tangent theor THEOREM theref trapezium triangle variable velocity vibration weight whole yards

### Popular passages

Page 66 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 3 - Geom.) is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is •estimated by the number of degrees contained in that arc.

Page 173 - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...

Page 229 - Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body.

Page 15 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

Page 90 - GLAZIERS' WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.

Page 46 - Ex. 2. To find the whole surface of a triangular prism, whose length is 20 feet, and each side of its end or base 18 inches.

Page 13 - DF; that is, as the sum of the sides is to the difference of the sides, so is the tangent of half the sum of the opposite angles, to the tangent of half their difference.

Page 24 - A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street, and by turning it over, without moving the foot out of its place, it will do the same by a window 21 feet high on the other side. Required the breadth of the street.

Page 89 - Required the quantity of plastering in a room, the length being 14 feet 5 inches, breadth 13 feet 2 inches, and height 9 feet 3 inches to the under side of the cornice, which girts...