An Introduction to the Theory and Practice of Plain and Spherical Trigonometry: And the Stereographic Projection of the Sphere : Including the Theory of Navigation ...Longman, Rees, Orme, Brown, and Green, 1826 - 442 σελίδες |
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Σελίδα xxiii
... difference , and the time of his rising and setting 3. The latitude of the place , and the sun's ( or a star's ) declination being given , to find the altitude and azi- muth , & c . at six o'clock . 4. The latitude of a place , and the ...
... difference , and the time of his rising and setting 3. The latitude of the place , and the sun's ( or a star's ) declination being given , to find the altitude and azi- muth , & c . at six o'clock . 4. The latitude of a place , and the ...
Σελίδα xxvii
... Difference , as A ~ B , shews that the difference between A and B is to be taken . A vinculum or parenthesis , serves to link two or more quan- tities together , as A + B × m , or ( A + B ) . M , signifies that A and B are first to be ...
... Difference , as A ~ B , shews that the difference between A and B is to be taken . A vinculum or parenthesis , serves to link two or more quan- tities together , as A + B × m , or ( A + B ) . M , signifies that A and B are first to be ...
Σελίδα 5
... difference between this logarithm and the next greater in the table . Multiply this difference by the figures you have above four , and cut off so many figures from the right hand of the product as you multiply by , the rest must be ...
... difference between this logarithm and the next greater in the table . Multiply this difference by the figures you have above four , and cut off so many figures from the right hand of the product as you multiply by , the rest must be ...
Σελίδα 7
... difference between this logarithm and the next greater in the tables , and also between this logarithm and the given one ; divide the latter difference , with ciphers annexed to it , by the former , and place the quotient to the right ...
... difference between this logarithm and the next greater in the tables , and also between this logarithm and the given one ; divide the latter difference , with ciphers annexed to it , by the former , and place the quotient to the right ...
Σελίδα 9
... difference must be taken , but if there be an unit to carry from the decimal part of the lower product , it must be added to the index of that product before you take the difference . The result will in every case be negative . Required ...
... difference must be taken , but if there be an unit to carry from the decimal part of the lower product , it must be added to the index of that product before you take the difference . The result will in every case be negative . Required ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute Aldebaran angle CAB Answer apparent altitude azimuth base centre circle co-tangent compasses complement CONSTRUCTION cosec cosine degrees diff difference of latitude difference of longitude draw ecliptic equator Euclid find the angle formulæ given side greater Greenwich Hence horizon horizontal parallax hypoth hypothenuse less line of numbers line of sines log sine measured meridian miles moon's N.sine N.cos Naut Nautical Almanac noon North oblique observed obtuse opposite angle parallax parallel perpendicular plane sailing Plate pole prime vertical PROPOSITION quadrant Rad x sine rad2 radius rhumb line right angles right ascension right-angled spherical triangle RULE scale of chords scale of equal SCHOLIUM secant side AC sine A sine sine BC Sine Co-sine sphere spherical angle spherical triangle ABC star star's subtract sun's declination supplement tang tangent of half three angles three sides Trigonometry true altitude versed sine
Δημοφιλή αποσπάσματα
Σελίδα 21 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 2 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 28 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Σελίδα 107 - 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 31 - 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 136 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
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 28 - The SECANT of an arc, is a straight line drawn from the center, through one end of the arc, and extended to the tangent which is drawn from the other end.
Σελίδα 27 - 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.