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
... length of the sine , tan- gent , and secant , to every degree and minute of the quadrant , with respect to the radius , which is expressed by unity or 1 , with any number of ciphers . The logarithms of these sines , tangents , and ...
... length of the sine , tan- gent , and secant , to every degree and minute of the quadrant , with respect to the radius , which is expressed by unity or 1 , with any number of ciphers . The logarithms of these sines , tangents , and ...
Σελίδα 5
... length of the said arc . This length of the arc being denoted by the letter a ; and its sine and cosine by s and c ; then will these two be ex- pressed by the two following series , viz . a3 as a7 s = a- + + & c . 2.3 2.3.4.5 2.3.4.5 ...
... length of the said arc . This length of the arc being denoted by the letter a ; and its sine and cosine by s and c ; then will these two be ex- pressed by the two following series , viz . a3 as a7 s = a- + + & c . 2.3 2.3.4.5 2.3.4.5 ...
Σελίδα 22
... length of a ladder to reach from my station to the top of it ? height of wall 69.64 , Ans . { ladder , 78.4 feet . EXAM . VII . Required the length of a shoar , which being to strut 11 feet from the upright of a building , will support ...
... length of a ladder to reach from my station to the top of it ? height of wall 69.64 , Ans . { ladder , 78.4 feet . EXAM . VII . Required the length of a shoar , which being to strut 11 feet from the upright of a building , will support ...
Σελίδα 26
... length and breadth be divided into several parts , each equal to the linear measuring unit , being here 4 for the length , and 3 for the breadth ; and let the opposite points of division be connected by right lines.- Then it is evident ...
... length and breadth be divided into several parts , each equal to the linear measuring unit , being here 4 for the length , and 3 for the breadth ; and let the opposite points of division be connected by right lines.- Then it is evident ...
Σελίδα 27
... length being 12.25 , and breadth or 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 . Ex . 3. To find the area of a ...
... length being 12.25 , and breadth or 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 . Ex . 3. To find the area of a ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ab² absciss altitude axis ball base beam body breadth CA² CD² centre of gravity circle circular segment circumference column cone Corol Cosine Cotang cube cubic curve cylinder DE² denote density descending diameter direction distance divided draw drawn elastic elevation ellipse equal equilibrio EXAM field-book figure find the area find the fluent fluid force frustum half Hence horizontal hyperbola inclined plane length lever measure motion move multiply ordinate parabola parallel parallelogram pendulum perp perpendicular pressure PROBLEM prop proportional PROPOSITION quantity QUEST radius ratio rectangle right angles rule SCHOLIUM secant segment side similar triangles sine solid space specific gravity square station surface Tang tangent theodolite theor THEOREM theref trapezium triangle velocity vibrations 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 77 - 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 243 - 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 248 - 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 261 - 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...