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

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absciss altitude axis ball base beam body breadth centre of gravity circle circular segment circumference column cone Corol Cosine Cotang cubic curve cylinder denote density descending diameter direction distance divided draw drawn ellipse equal ExAM feet 6 inches field-book figure find the area fluent fluid fluxion foot force frustum Geom given half Hence hyperbola inclined plane length measure motion multiply offsets ordinate parabola parallel parallelogram pendulum perp perpendicular plane pressure PROBLEM proportional PROPOSITION quantity radius ratio rectangle right angles rule SCHOLIUM secant segment side similar triangles sine solid space specific gravity square station station-line surface Tang tangent theodolite theor THEOREM theref trapezium triangle velocity 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 75 - 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 21 - 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 241 - 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 244 - 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 257 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.

Page 25 - 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...