A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 - Mathematics |
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Page 4
... descending from top to bottom by the left - hand side , and then returning back by the right - hand side , ascending from bottom to top , from 45 ° to 90 ° ; the degrees being set at top or bottom , and the minutes in the column . Then ...
... descending from top to bottom by the left - hand side , and then returning back by the right - hand side , ascending from bottom to top , from 45 ° to 90 ° ; the degrees being set at top or bottom , and the minutes in the column . Then ...
Page 56
... place and place , or how much one place is higher or lower than another . And in measuring any slop- ing or oblique line , either ascending or descending , a small pocket pocket level is useful for showing how many links for 56 LAND.
... place and place , or how much one place is higher or lower than another . And in measuring any slop- ing or oblique line , either ascending or descending , a small pocket pocket level is useful for showing how many links for 56 LAND.
Page 118
... descend- ing , and the point H ascending , till at last they meet in the point c , when the line becomes a tangent to the curve at c . And then the points D and G meet in the point M , and the ordinates DE , GH in the ordinate CM ...
... descend- ing , and the point H ascending , till at last they meet in the point c , when the line becomes a tangent to the curve at c . And then the points D and G meet in the point M , and the ordinates DE , GH in the ordinate CM ...
Page 148
... descending by their own Gravity ; namely , that the Velocities are as the Times , and the Spaces as the Squares of ... descend to the surface ; they therefore descend by a force which acts constantly and equally ; consequently all the ...
... descending by their own Gravity ; namely , that the Velocities are as the Times , and the Spaces as the Squares of ... descend to the surface ; they therefore descend by a force which acts constantly and equally ; consequently all the ...
Page 149
... descending , are in the exact proportion of the times of descent : and further , that the spaces descended are proportional to the squares of the times , and therefore to the squares of the velocities . Hence then it follows , that the ...
... descending , are in the exact proportion of the times of descent : and further , that the spaces descended are proportional to the squares of the times , and therefore to the squares of the velocities . Hence then it follows , that the ...
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A Course of Mathematics ...: Composed for the Use of the Royal Military Academy Charles Hutton,Olinthus Gregory No preview available - 2016 |
Common terms and phrases
absciss altitude angle avoirdupois axis ball base body bottom breadth CA² CD² centre of gravity circle circumference column common logarithm cone consequently constant Corol cosine cube cubic cubic foot curvature curve cycloid cylinder DE² denote density descending diameter direction distance divided draw drawn earth 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 logarithm measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perpendicular pressure PROBLEM proportion PROPOSITION QUEST quicksilver radius radius of curvature ratio rectangle resistance SCHOLIUM secant side sine solid space specific gravity square supposing surface tangent theor THEOREM theref thickness triangle velocity vibration weight whole yards
Popular passages
Page 64 - 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 171 - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...
Page 227 - Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body.
Page 13 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 88 - GLAZIERS' WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.
Page 44 - Ex. 2. To find the whole surface of a triangular prism, whose length is 20 feet, and each side of its end or base 18 inches.
Page 11 - DF; that is, as the sum of the sides is to the difference of the sides, so is the tangent of half the sum of the opposite angles, to the tangent of half their difference.
Page 22 - A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street, and by turning it over, without moving the foot out of its place, it will do the same by a window 21 feet high on the other side. Required the breadth of the street.
Page 87 - Required the quantity of plastering in a room, the length being 14 feet 5 inches, breadth 13 feet 2 inches, and height 9 feet 3 inches to the under side of the cornice, which girts...