## A Course of Mathematics: In Three Volumes : Composed for the Use of the Royal Military Academy ...F.C. & J. Rivington, 1811 - Mathematics |

### From inside the book

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**degrees in the arc of the sector , so is the area of the**whole circle , to the area of the sector . This is evident , because the sector is proportional to the length of the arc , or to the degrees contained in it . Ex . 1. To find the ...### Common terms and phrases

16 feet absciss altitude axis ball base beam body breadth CAČ CDČ centre of gravity circle circular segment circumference column cone constant Corol Cosine Cotang cube cubic cubic foot curve cylinder DEČ denote density descending diameter direction distance divided draw drawn ellipse equal equation figure find the area find the fluent fluent of EXAM fluid foot force frustum given fluxion Hence hyperbola inches inclined plane length lever logarithms measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perpendicular pressure PROBLEM proportional PROPOSITION quantity QUEST radius ratio rectangle resistance right angles rule SCHOLIUM segment side sine solid space specific gravity square supposing surface Tang tangent theor THEOREM theref trapezium triangle variable velocity vibration weight whole yards

### Popular passages

Page 52 - 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 1 - 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 79 - A diameter is any right line, as AB or DE, drawn through the centre, and terminated on each side by the curve ; and the extremities of the diameter, or its intersections with the curve, are its vertices. Hence all the diameters of a parabola are parallel to the axi?, and infinite in length.

Page 23 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower was 33° 45' ; required the height of the tower.

Page 245 - May-pole, whose top was broken off" by a blast of wind, struck the ground at the distance of 15 feet from the foot of the pole ; what was the height of the whole May-pole, supposing the length of the broken piece to be 39 feet ?

Page 250 - Then say, As the weight lost in water, Is to the whole weight> So is the specific gravity of water, To the specific gravity of the body.

Page 263 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.

Page 27 - To find the area of a parallelogram, the length being 12-25, and height 8-5. 12-25 length 8'5 breadth 6125 9800 104-125 area . Ex. 2. To find the area of a square, whose side is 35'25 chains. Ans. 124 acres, 1 rood, 1 perch.

Page 72 - ARTIFICERS' WORK. ARTIFICERS compute the contents of their works by several different measures. As, Glazing and masonry, by the foot ; Painting, plastering, paving, &c, by the yard, of 9 square feet : Flooring, partitioning, roofing, tiling, &c, by the square of 100 - square feet : And brickwork...

Page 72 - ... the whole length of the upper part of the hand-rail, and girt over its end till it meet the top of the...