Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 sider |
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Resultat 1-5 av 29
Side 264
... comp . 3.274107 2.104729 its ar . comp . 3.274107 7.895271 Diff . 1.169378 Sum 1.169378 after sub- tracting 10 . Hence , to perform division by means of the arithmetical complement , we have the following RULE . To the logarithm of the ...
... comp . 3.274107 2.104729 its ar . comp . 3.274107 7.895271 Diff . 1.169378 Sum 1.169378 after sub- tracting 10 . Hence , to perform division by means of the arithmetical complement , we have the following RULE . To the logarithm of the ...
Side 282
... comp . 0.005705 : sin A :: AB 58 ° 07 ' 9.928972 408 2.610660 : BC 351.024 ( after rejecting 10 2.545337 . REMARK . The logarithm of the fourth term of a pro- portion is obtained by adding the logarithm of the second terin to that of ...
... comp . 0.005705 : sin A :: AB 58 ° 07 ' 9.928972 408 2.610660 : BC 351.024 ( after rejecting 10 2.545337 . REMARK . The logarithm of the fourth term of a pro- portion is obtained by adding the logarithm of the second terin to that of ...
Side 283
... comp . 7.931814 AC 216 2.334454 :: sin A 22 ° 37 ' 9.584968 : sin B ′ 45 ° 13 ′ 55 ′′ , or ABC 134 ° 46 ′ 05 ′′ 9.851236 . The ambiguity in this , and similar examples , arises in consequence of the first proportion being true for ...
... comp . 7.931814 AC 216 2.334454 :: sin A 22 ° 37 ' 9.584968 : sin B ′ 45 ° 13 ′ 55 ′′ , or ABC 134 ° 46 ′ 05 ′′ 9.851236 . The ambiguity in this , and similar examples , arises in consequence of the first proportion being true for ...
Side 285
... comp . 90 :: tan ( A + C ) 50 ° : tan ( A — α ) 6 ° 11 ' . 7.004365 1.954243 · 10.076187 9.034795 .. • 43 ° 49 ' C ... comp . 0.159672 . 9.993351 2.653213 2.806236 . 2. Given two sides of a plane triangle , 1686 and 960 , and their ...
... comp . 90 :: tan ( A + C ) 50 ° : tan ( A — α ) 6 ° 11 ' . 7.004365 1.954243 · 10.076187 9.034795 .. • 43 ° 49 ' C ... comp . 0.159672 . 9.993351 2.653213 2.806236 . 2. Given two sides of a plane triangle , 1686 and 960 , and their ...
Side 286
... In the triangle DAC , to find the angle DAC . AC 34 ar . comp . DC 26.6375 . sin D 90 ° : sin DAC 51 ° 34 ' 40 " 8.468521 • 1.425493 • 10.000000 9.894014 . In the triangle BAD , to find the angle BAD 286 PLANE TRIGONOMETRY .
... In the triangle DAC , to find the angle DAC . AC 34 ar . comp . DC 26.6375 . sin D 90 ° : sin DAC 51 ° 34 ' 40 " 8.468521 • 1.425493 • 10.000000 9.894014 . In the triangle BAD , to find the angle BAD 286 PLANE TRIGONOMETRY .
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1874 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre Uten tilgangsbegrensning - 1864 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Side 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.