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
... perpendicular to the diameter which passes through the other extremity . Thus , BF is the sine of the arc AB , or of the supplemental arc BDE . Hence the sine ( BF ) is half the chord ( BG ) of the double arc ( BAG ) . 8. The Versed ...
... perpendicular to the diameter which passes through the other extremity . Thus , BF is the sine of the arc AB , or of the supplemental arc BDE . Hence the sine ( BF ) is half the chord ( BG ) of the double arc ( BAG ) . 8. The Versed ...
Σελίδα 11
... perpendicular to AD ; and DF , parallel to AE , is also per- pendicular to AD : consequently AE is the tangent of CDA the half sum , and DF the tangent of DAB the half difference of the angles , to the same radius AD , by the definition ...
... perpendicular to AD ; and DF , parallel to AE , is also per- pendicular to AD : consequently AE is the tangent of CDA the half sum , and DF the tangent of DAB the half difference of the angles , to the same radius AD , by the definition ...
Σελίδα 12
... perpendicular from the greatest angle on the opposite side , or base , dividing it into two segments , and the whole triangle into two right - angled triangles : then the proportion will be , As As the base , or sum of the segments , 12 ...
... perpendicular from the greatest angle on the opposite side , or base , dividing it into two segments , and the whole triangle into two right - angled triangles : then the proportion will be , As As the base , or sum of the segments , 12 ...
Σελίδα 13
... perpendicular CP , it will be , As the base AB : AC + BC :: AC BC : AP that is , as 345 : 406′07 :: 57′93 : 68'18 = AP its half is the half base is the sum of these is and their diff . is BP , - BP , 34.09 172.50 206.59 = AP 138.41 BP ...
... perpendicular CP , it will be , As the base AB : AC + BC :: AC BC : AP that is , as 345 : 406′07 :: 57′93 : 68'18 = AP its half is the half base is the sum of these is and their diff . is BP , - BP , 34.09 172.50 206.59 = AP 138.41 BP ...
Σελίδα 15
... perpendicular to AB , or parallel to BC . Then it is evident , from the definitions , that DF is the tangent , and AF the secant of the arc DE , or of the E angle A which is measured by that arc , to the radius AD . Then , because of ...
... perpendicular to AB , or parallel to BC . Then it is evident , from the definitions , that DF is the tangent , and AF the secant of the arc DE , or of the E angle A which is measured by that arc , to the radius AD . Then , because of ...
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...