Elements of Geometry and Trigonometry |
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Page 23
... cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions of an arc which is ex pressed in degrees and minutes . 34. If the arc is less than 45 ° , 100k for the degrees at the top of the page , and for the minutes in ...
... cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions of an arc which is ex pressed in degrees and minutes . 34. If the arc is less than 45 ° , 100k for the degrees at the top of the page , and for the minutes in ...
Page 24
... 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 is greater than the ...
... 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 is greater than the ...
Page
... 3918 3980 4042 4104 699 4477 4539 | 4601 4664 4166 4229 4726 4788 4850 4291 4353 4415 61 4912 4974 5036 62 N. 0 1 2 3 4 5 6 7 8 9 D. M. Sine D. Cosine D. Tang . D. Cotang . △ TABLE OF LOGARITHMS FROM 1 TO 10,000 . 11.
... 3918 3980 4042 4104 699 4477 4539 | 4601 4664 4166 4229 4726 4788 4850 4291 4353 4415 61 4912 4974 5036 62 N. 0 1 2 3 4 5 6 7 8 9 D. M. Sine D. Cosine D. Tang . D. Cotang . △ TABLE OF LOGARITHMS FROM 1 TO 10,000 . 11.
Page
... Cotang . 0.000000 10.000000 0.000000 6.463726 5017.17 00000C • · 00 6.463726 23 4oo ru 764756 2934.85 000000 • 00 764756 940847 | 2082-31 000000 • 00 940847 7.065786 1615.17 000000 .00 7.065786 162696 | 1319.68 000000 • 00 162696 ...
... Cotang . 0.000000 10.000000 0.000000 6.463726 5017.17 00000C • · 00 6.463726 23 4oo ru 764756 2934.85 000000 • 00 764756 940847 | 2082-31 000000 • 00 940847 7.065786 1615.17 000000 .00 7.065786 162696 | 1319.68 000000 • 00 162696 ...
Page 1
... Cotang . .07 999731 .07 999726 999717 .08 999713. M. Sine D. D. Ctang . 8.241855 I 119.63 249033 117.68 119.67 11 158079 999932 ⚫04 249102 117.72 2 256094 115.80 999929 .04 256165 115.84 750898 59 143835 3 263042 113.98 999927 .04 ...
... Cotang . .07 999731 .07 999726 999717 .08 999713. M. Sine D. D. Ctang . 8.241855 I 119.63 249033 117.68 119.67 11 158079 999932 ⚫04 249102 117.72 2 256094 115.80 999929 .04 256165 115.84 750898 59 143835 3 263042 113.98 999927 .04 ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional 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 polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
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.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...