An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 8
... remainder will be the logarithm of the quotient . If any of the indices be negative , or if the divisor be greater than the dividend , change the index of the divisor : then if the indices have unlike signs take their difference , and ...
... remainder will be the logarithm of the quotient . If any of the indices be negative , or if the divisor be greater than the dividend , change the index of the divisor : then if the indices have unlike signs take their difference , and ...
Σελίδα 11
... remainder will be the logarithm of the fourth term . What is the fourth proportional to 75 , 36 , and 008 ? Logarithm of 36 = 1.55630 Logarithm of ' 0083.90309 Sum = - 1.45939 Logarithm of 75 187506 subtract . = -- 1-58433 the number ...
... remainder will be the logarithm of the fourth term . What is the fourth proportional to 75 , 36 , and 008 ? Logarithm of 36 = 1.55630 Logarithm of ' 0083.90309 Sum = - 1.45939 Logarithm of 75 187506 subtract . = -- 1-58433 the number ...
Σελίδα 13
... remainder ; or subtract 90 ° from the given number of degrees , and find the cosine , cotangent , & c . of the remainder , which is the same thing . Required the logarithmic sine , tangent , secant , cosine , cotangent , and cosecant of ...
... remainder ; or subtract 90 ° from the given number of degrees , and find the cosine , cotangent , & c . of the remainder , which is the same thing . Required the logarithmic sine , tangent , secant , cosine , cotangent , and cosecant of ...
Σελίδα 27
... remainder , viz . 30 ° from e to c , through c draw CD , then CDB is the angle required . PROBLEM IV ( 64 ) An angle being given , to find how many degrees it con- tains , by a scale of chords . With the chord of 60 ° in your com ...
... remainder , viz . 30 ° from e to c , through c draw CD , then CDB is the angle required . PROBLEM IV ( 64 ) An angle being given , to find how many degrees it con- tains , by a scale of chords . With the chord of 60 ° in your com ...
Σελίδα 28
... remainder will be the other acute angle . ( 69 ) The complement of an arc , or angle less than 90 ° , is what that angle wants of a quadrant , or 90 ° . ( 70 ) If one acute angle of a right - angled triangle be 45 ° , or half a right ...
... remainder will be the other acute angle . ( 69 ) The complement of an arc , or angle less than 90 ° , is what that angle wants of a quadrant , or 90 ° . ( 70 ) If one acute angle of a right - angled triangle be 45 ° , or half a right ...
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.