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

F.C. & J. Rivington, 1811

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### Περιεχόμενα

 PLANE Trigonometry 1 Log Sines Tangents c 6 PLANETrigonometry 17 Mensuration of Planes or Areas 2 26 43 Land Surveying 53 Artificers Works 81 Timber Measuring 90 Of the Ellipse 97
 Of Hydrostatics 221 Of Hydraulics 232 Of the Syphon 247 Of the Thermometer 253 Practical Exercises in Mensuration 259 259 Weights and Dimensions of Balls and Shells 269 Of Distances by the Velocity of Sound 275 The Doctrine of Fluxions 286

 Of the Hyperbola 106 Of the Parabola 115 Laws of Motion Forces c 129 Composition and Resolution of Forces 137 Laws of Gravity Projectiles c 148 Practical Gunnery 160 Mechanical Powers 174 Centre of Gravity 189 Strength and Stress of Beams or Bars of Timber 201 Centres of Percussion Oscillation and Gyration 212
 The Direct Method of Fluxions 294 The Inverse Method of Fluents 301 Of Maxima and Minima 314 The Method of Tangents 321 To make Logarithms 327 Involutes and Evolutes 333 Practical Questions in Fluxions 339 The Motion of Bodies in Fluids 365 Table of Logarithms 379

### Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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 ?
Σελίδα 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.
Σελίδα 257 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.
Σελίδα 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.
Σελίδα 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...
Σελίδα 72 - ... the whole length of the upper part of the hand-rail, and girt over its end till it meet the top of the...