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 2
... half the chord ( BG ) of the double arc ( BAG ) . 8. The Versed Sine of an arc , is the part of the diameter intercepted between the arc and its sine . So , AF is the versed sine of the arc AB , and EF the versed sine of the arc EDB . 9 ...
... half the chord ( BG ) of the double arc ( BAG ) . 8. The Versed Sine of an arc , is the part of the diameter intercepted between the arc and its sine . So , AF is the versed sine of the arc AB , and EF the versed sine of the arc EDB . 9 ...
Σελίδα 10
... half the sum of their op . angles , To the tang . of half the diff . of the same angles . Then add the half difference of the angles , so found , to their half sum , and it will give the greater angle , and sub- tracting the same ...
... half the sum of their op . angles , To the tang . of half the diff . of the same angles . Then add the half difference of the angles , so found , to their half sum , and it will give the greater angle , and sub- tracting the same ...
Σελίδα 11
... half the angle DCG at the centre ; therefore the angle DAB is equal to half the difference of the two angles CAB , CBA ; of which it has been shown that ADE or CDA is the half sum . Now the angle DAE , in a semicircle , is a right angle ...
... half the angle DCG at the centre ; therefore the angle DAB is equal to half the difference of the two angles CAB , CBA ; of which it has been shown that ADE or CDA is the half sum . Now the angle DAE , in a semicircle , is a right angle ...
Σελίδα 12
... half sum Zs cand в 71 ° 20 2.232818 10-471298 9-988890 To tang . half diff . scand B 44 16 -- these added give ∠ c 115 36 and subtr . give ∠ B 27 4 Then , by the former theorem , As sin . c 115 ° 36 ′ or 64 ° 24 ' - log , 9.955126 To ...
... half sum Zs cand в 71 ° 20 2.232818 10-471298 9-988890 To tang . half diff . scand B 44 16 -- these added give ∠ c 115 36 and subtr . give ∠ B 27 4 Then , by the former theorem , As sin . c 115 ° 36 ′ or 64 ° 24 ' - log , 9.955126 To ...
Σελίδα 13
... half sum , or the half base , for the greater segment ; and subtract the same for the less segment . Hence , in each of the two right - angled triangles , there will be known two sides , and the right angle opposite to one of them ...
... half sum , or the half base , for the greater segment ; and subtract the same for the less segment . Hence , in each of the two right - angled triangles , there will be known two sides , and the right angle opposite to one of them ...
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...