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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Σελίδα 3
... increases from 0 , the sines , tangents , and secants , all proceed increasing , till the arc becomes a whole quadrant AD , and then the sine is the greatest it can be , being the radius CD of the circle ; and both the tangent and ...
... increases from 0 , the sines , tangents , and secants , all proceed increasing , till the arc becomes a whole quadrant AD , and then the sine is the greatest it can be , being the radius CD of the circle ; and both the tangent and ...
Σελίδα 10
... increased by their half difference , gives the greater , and diminished by it gives the less . Then all the angles being now known , the unknown side will be found by the former theorem . Note . Instead of the tangent of the half sum of ...
... increased by their half difference , gives the greater , and diminished by it gives the less . Then all the angles being now known , the unknown side will be found by the former theorem . Note . Instead of the tangent of the half sum of ...
Σελίδα 67
... increased , as to render it very much distorted . But proceed as below . 1. Walk over the estate two or three times , in order to get a perfect idea of it , or till you can keep the figure of it pretty well in mind . And to help your ...
... increased , as to render it very much distorted . But proceed as below . 1. Walk over the estate two or three times , in order to get a perfect idea of it , or till you can keep the figure of it pretty well in mind . And to help your ...
Σελίδα 77
... increases the number of them by 1 , for the divisor , though it does not increase the sum or quan- tity to be divided ) ; then multiply the length by that mean breadth . 5. But in larger pieces and whole estates , consisting of many ...
... increases the number of them by 1 , for the divisor , though it does not increase the sum or quan- tity to be divided ) ; then multiply the length by that mean breadth . 5. But in larger pieces and whole estates , consisting of many ...
Σελίδα 80
... increased or diminished , when of a different size . Lastly , copy into the clean squares the parts contained in the corresponding squares of the old plan ; and you will have the copy , either of the same size , or greater or less in ...
... increased or diminished , when of a different size . Lastly , copy into the clean squares the parts contained in the corresponding squares of the old plan ; and you will have the copy , either of the same size , or greater or less in ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
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 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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 ?
Σελίδα 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.
Σελίδα 263 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.
Σελίδα 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.
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...