Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 490 páginas |
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Página 9
... sine , tangent , secant , cosine , cotangent , and cosecant . There are also sometimes employed the quantities termed versed sine , coversed sine , and suversed sine . 47. The SINE of an angle is the ratio of 14 TRIGONOMETRY .
... sine , tangent , secant , cosine , cotangent , and cosecant . There are also sometimes employed the quantities termed versed sine , coversed sine , and suversed sine . 47. The SINE of an angle is the ratio of 14 TRIGONOMETRY .
Página 9
... SINE , TANGENT , and SECANT of its complement . Hence , since the acute angles of a right - angled triangle are complements one of the other ( Art . 44 ) , we have , according to the definitions , b cos Asin B cos B sin A = = h ' = 2 ...
... SINE , TANGENT , and SECANT of its complement . Hence , since the acute angles of a right - angled triangle are complements one of the other ( Art . 44 ) , we have , according to the definitions , b cos Asin B cos B sin A = = h ' = 2 ...
Página 9
... sine of A ; if the sine of A be subtracted from unity , the remainder is called the coversed sine of A ; and if the cosine of A be added to unity , the sum is called the suversed sine of A. Hence , vers 4 = 1 — cos A , covers 4 = 1 ...
... sine of A ; if the sine of A be subtracted from unity , the remainder is called the coversed sine of A ; and if the cosine of A be added to unity , the sum is called the suversed sine of A. Hence , vers 4 = 1 — cos A , covers 4 = 1 ...
Página 9
... sine of the arc AB , OD its cosine , A T its tangent , A'T ' its cotangent , O T its secant , O T ' ' its cosecant , AD its versed sine , A ' D ' its coversed sine , and A " D its suversed sine . is the chord of the arc A B. Also the ...
... sine of the arc AB , OD its cosine , A T its tangent , A'T ' its cotangent , O T its secant , O T ' ' its cosecant , AD its versed sine , A ' D ' its coversed sine , and A " D its suversed sine . is the chord of the arc A B. Also the ...
Página 9
... sine , cosine , tangent , and cotangent constitute the primary class of trigonometric ratios , as they are by far most frequently used ; and the others form a subordinate class , the employment of which is occasionally attended with ...
... sine , cosine , tangent , and cotangent constitute the primary class of trigonometric ratios , as they are by far most frequently used ; and the others form a subordinate class , the employment of which is occasionally attended with ...
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Términos y frases comunes
A B C ABCD adjacent angles altitude angles ACD angles equal base bisect centre chord circle circumference cone convex surface cosec cosine Cotang diagonal diameter distance divided drawn equal angles equal Prop equiangular equilateral equivalent exterior angle feet four right angles frustum gles greater half the sum homologous homologous sides hypothenuse inches included angle inscribed less Let ABC line A B logarithm mean proportional multiplied parallelogram parallelopipedon perimeter perpendicular polyedron prism PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon right angles Prop right-angled triangle Scholium secant secant line segment side A B side BC similar slant height solidity solve the triangle sphere spherical triangle Tang tangent THEOREM triangle ABC trigonometric functions vertex
Pasajes populares
Página 17 - 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.
Página 57 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Página 155 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 28 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 118 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Página 98 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 144 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Página 176 - Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Página 14 - Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other.
Página 95 - STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.