An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 4
... Required the logarithm of 74 . Look for 74 in the column marked No. and against it stands 86923. The natural number containing two figures , the index is 1 , therefore the logarithm of 74 is 1086923 . Required the logarithm of 743 ...
... Required the logarithm of 74 . Look for 74 in the column marked No. and against it stands 86923. The natural number containing two figures , the index is 1 , therefore the logarithm of 74 is 1086923 . Required the logarithm of 743 ...
Σελίδα 7
... Required the product of 84 and 56 . Logarithm of 84 Logarithm of 56 = 1.92428 = Product 4704 Log . Required the product of 76.5 and 5.5 . Logarithm of 76.5 Logarithm of 5.5 1.74819 = 3.67247 = 1.88366 0.74036 Product 420-75 Log ...
... Required the product of 84 and 56 . Logarithm of 84 Logarithm of 56 = 1.92428 = Product 4704 Log . Required the product of 76.5 and 5.5 . Logarithm of 76.5 Logarithm of 5.5 1.74819 = 3.67247 = 1.88366 0.74036 Product 420-75 Log ...
Σελίδα 8
... Required the product of 37 , 426 , · 5 , ' 004 , 275 , and 336 . Answer 29.128 . PROPOSITION VIII . ( 12 ) To divide one number by another . * Subtract the logarithm of the divisor from the logarithm of the dividend , and the remainder ...
... Required the product of 37 , 426 , · 5 , ' 004 , 275 , and 336 . Answer 29.128 . PROPOSITION VIII . ( 12 ) To divide one number by another . * Subtract the logarithm of the divisor from the logarithm of the dividend , and the remainder ...
Σελίδα 9
... Required the cube of 1.2 . Logarithm of 1.2 = 0.07918 3 The cube is 1.728 log . = 0.23754 Required the square of 25 . Logarithm of 25 1.39794 2 The square is 625 log . = 2.79588 nx * Let 10 % is the logarithm of u , and nr the logarithm ...
... Required the cube of 1.2 . Logarithm of 1.2 = 0.07918 3 The cube is 1.728 log . = 0.23754 Required the square of 25 . Logarithm of 25 1.39794 2 The square is 625 log . = 2.79588 nx * Let 10 % is the logarithm of u , and nr the logarithm ...
Σελίδα 11
... required . The multiplication must be performed as directed in the 9th Proposition , and the division according to ... required . For , 75 : 36 : 008 : 384 . PROMISCUOUS EXAMPLES , EXERCISING ALL THE PROPOSITIONS . 363 Ans . - 1.88303 ...
... required . The multiplication must be performed as directed in the 9th Proposition , and the division according to ... required . For , 75 : 36 : 008 : 384 . PROMISCUOUS EXAMPLES , EXERCISING ALL THE PROPOSITIONS . 363 Ans . - 1.88303 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute altitude angle CAB arc BF base centre complement construction cosec cosine cotangent degrees diff difference of latitude distance division draw ecliptic equator Euclid extent will reach find the angle formulæ given angle given side greater Greenwich half the sum Hence horizon hypoth less line of numbers line of sines logarithm logarithmic sine mean arc measure meridian moon's natural number Nautical Almanac observed obtuse opposite angles parallax parallel perpendicular plane sailing Plate pole primitive PROPOSITION quadrant rad2 radius rhumb line right angles right ascension right-angled plane triangle right-angled spherical triangle right-angled triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC side opposite sin² sphere spherical angle spherical triangle ABC spherical trigonometry straight line subtract supplement Tang tangent of half three angles three sides Trigonometry versed sine
Δημοφιλή αποσπάσματα
Σελίδα 109 - 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.
Σελίδα 141 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Σελίδα 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Σελίδα 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Σελίδα 258 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Σελίδα 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Σελίδα 362 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Σελίδα 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.