Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
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Page 24
... tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • · · 9.532312 9.559097 · · 45 ° , look for the degrees at for the minutes in the right If the angle ...
... tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • · · 9.532312 9.559097 · · 45 ° , look for the degrees at for the minutes in the right If the angle ...
Page 17
... The minutes in the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
... The minutes in the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
Page 19
... Tang . D. 0 8.241855 119.63 9.999934 .04 8.241921 249033 117.68 999932 .04 249102 117.72 256094 115.80 999929 .04 256165 115.84 263042 113.98 999927 .04 263115 114.02 269881 112 21 999925 .04 269956 112.25 276614 110.50 999922 .04 ...
... Tang . D. 0 8.241855 119.63 9.999934 .04 8.241921 249033 117.68 999932 .04 249102 117.72 256094 115.80 999929 .04 256165 115.84 263042 113.98 999927 .04 263115 114.02 269881 112 21 999925 .04 269956 112.25 276614 110.50 999922 .04 ...
Page 20
... Tang D. Cotang . ⚫07 8.543084 Ốc.12 11-456916 546422 59-55 999731 ⚫07 546691 59-62 549995 59-06 999725 .07 555268 ... Tang . M. D. Cosine D. Tang . D. Cotar.g . 20.00 9.997614 20 ( 2 DEGREES . ) A TABLE OF LOGARITHMIC.
... Tang D. Cotang . ⚫07 8.543084 Ốc.12 11-456916 546422 59-55 999731 ⚫07 546691 59-62 549995 59-06 999725 .07 555268 ... Tang . M. D. Cosine D. Tang . D. Cotar.g . 20.00 9.997614 20 ( 2 DEGREES . ) A TABLE OF LOGARITHMIC.
Page 21
... Tang . D. Cotang . 9.999404 II 999398 II 721806 8.719396 40.17 11.280604 60 39.95 278194 59 723595 39.62 999391 II ... Tang . M. ( 86 DEGREES . ) M. Sine 0 8.843585 D. 30.05 Cosine D. Tang . SINES AND TANGENTS . ( 3 DEGREES . ) 21.
... Tang . D. Cotang . 9.999404 II 999398 II 721806 8.719396 40.17 11.280604 60 39.95 278194 59 723595 39.62 999391 II ... Tang . M. ( 86 DEGREES . ) M. Sine 0 8.843585 D. 30.05 Cosine D. Tang . SINES AND TANGENTS . ( 3 DEGREES . ) 21.
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter difference distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Popular passages
Page 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 59 - 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.
Page 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 46 - 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.
Page 99 - The area of a parallelogram is equal to the product of its base and altitude.
Page 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.