A Course of Mathematics: In Three Volumes : Composed for the Use of the Royal Military Academy ...F.C. & J. Rivington, 1811 - Mathematics |
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Page 10
... feet BC 112 feet Ans . LA 57 ° 28 ' 4 B 64 ° 35 ' or 115 25 2 C 57 57 or 7 7 AB 112.6 feet Required the other parts . THEOREM II . or 16.47 feet . When two Sides and their Contained Angle are given . FIRST add the two given sides ...
... feet BC 112 feet Ans . LA 57 ° 28 ' 4 B 64 ° 35 ' or 115 25 2 C 57 57 or 7 7 AB 112.6 feet Required the other parts . THEOREM II . or 16.47 feet . When two Sides and their Contained Angle are given . FIRST add the two given sides ...
Page 18
... feet , in a direct ho- rizontal line , from the bottom of a steeple , the angle of elevation of its top , taken at that distance , was found to be 47 ° 30 ' ; hence it is required to find the height of the steeple . Construction . Draw ...
... feet , in a direct ho- rizontal line , from the bottom of a steeple , the angle of elevation of its top , taken at that distance , was found to be 47 ° 30 ' ; hence it is required to find the height of the steeple . Construction . Draw ...
Page 19
... feet , and there found the angle , formed by the oblique plane and a line imagined to go to the top of the obelisk , 41 ° ; but after measuring on in the same direction 60 feet farther , the like angle was only 23 ° 45 ' . What then was ...
... feet , and there found the angle , formed by the oblique plane and a line imagined to go to the top of the obelisk , 41 ° ; but after measuring on in the same direction 60 feet farther , the like angle was only 23 ° 45 ' . What then was ...
Page 22
... feet . Ans . EXAM . VII . Required the length of a shoar , which being to strut 11 feet from the upright of a building , will support a jamb 23 feet 10 inches from the ground ? Ans . 26 feet 3 inches . EXAM . VIII . A ladder , 40 feet ...
... feet . Ans . EXAM . VII . Required the length of a shoar , which being to strut 11 feet from the upright of a building , will support a jamb 23 feet 10 inches from the ground ? Ans . 26 feet 3 inches . EXAM . VIII . A ladder , 40 feet ...
Page 23
... feet farther , I found the angle to the top of the tower to be 33 ° 45 ′ . What then is the height of the tower ? Ans . 95 33148 feet . EXAM . XV . From a window near the bottom of a house , which seemed to be on a level with the bottom ...
... feet farther , I found the angle to the top of the tower to be 33 ° 45 ′ . What then is the height of the tower ? Ans . 95 33148 feet . EXAM . XV . From a window near the bottom of a house , which seemed to be on a level with the bottom ...
Common terms and phrases
16 feet absciss altitude axis ball base beam body breadth CA² CD² centre of gravity circle circular segment circumference column cone constant Corol Cosine Cotang cube cubic cubic foot curve cylinder DE² 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...