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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Seite 7
... rule or theorem , resolve it like any other proportion , in which a fourth term is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural ...
... rule or theorem , resolve it like any other proportion , in which a fourth term is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural ...
Seite 8
... rule is ambiguous , or un- certain whether it be acute or obtuse , unless it be a right angle , or unless its magnitude be such as to prevent the ambiguity ; because the sine answers to two angles , which are supplements to each other ...
... rule is ambiguous , or un- certain whether it be acute or obtuse , unless it be a right angle , or unless its magnitude be such as to prevent the ambiguity ; because the sine answers to two angles , which are supplements to each other ...
Seite 16
... rule for all these cases is this , namely , that the sides of the triangle bear to each other the same proportion as the parts which they represent . And this is called , Making every side radius . Note Note 2. When there are given two ...
... rule for all these cases is this , namely , that the sides of the triangle bear to each other the same proportion as the parts which they represent . And this is called , Making every side radius . Note Note 2. When there are given two ...
Seite 26
... rule is proved in the Geom . theor . 81 , cor . 2 . The same is otherwise proved thus : Let the foregoing rect- angle be the figure proposed ; and let the length and breadth be divided into several parts , each equal to the linear ...
... rule is proved in the Geom . theor . 81 , cor . 2 . The same is otherwise proved thus : Let the foregoing rect- angle be the figure proposed ; and let the length and breadth be divided into several parts , each equal to the linear ...
Seite 27
... RULE 1. MULTIPLY the base by the perpendicular height , and take half the product for the area * . Or , multiply the ... rule is general for all paral- lelograms whatever . The truth of this rule is evident , because any triangle is the ...
... RULE 1. MULTIPLY the base by the perpendicular height , and take half the product for the area * . Or , multiply the ... rule is general for all paral- lelograms whatever . The truth of this rule is evident , because any triangle is the ...
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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 ?
Seite 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.
Seite 263 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.
Seite 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.
Seite 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...
Seite 72 - ... the whole length of the upper part of the hand-rail, and girt over its end till it meet the top of the...