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 x
... radius ; by which means the degrees , or the divisions of the arc , would be the real lengths of the arcs , in terms of the radius . The French have lately adopted the centesimal division of the circle in their calculations , and tables ...
... radius ; by which means the degrees , or the divisions of the arc , would be the real lengths of the arcs , in terms of the radius . The French have lately adopted the centesimal division of the circle in their calculations , and tables ...
Σελίδα 15
... Radius = 1 Nat . cosine 65 ° .45 ′ 41072 versed sine 65 ° .45 ' . 58928 Required the logarithm . versed sine of 72 ° .14 ' . Logarithmical sine of 36 ° .7 " half arc 9.77043 2 sine of 115 ° .35 ' . Natural cosine 115 ° .35 ' or cosine ...
... Radius = 1 Nat . cosine 65 ° .45 ′ 41072 versed sine 65 ° .45 ' . 58928 Required the logarithm . versed sine of 72 ° .14 ' . Logarithmical sine of 36 ° .7 " half arc 9.77043 2 sine of 115 ° .35 ' . Natural cosine 115 ° .35 ' or cosine ...
Σελίδα 16
... radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) Rhumbs . Divide the quadrantal arc AD into eight equal parts , with one ...
... radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) Rhumbs . Divide the quadrantal arc AD into eight equal parts , with one ...
Σελίδα 21
... radius ; and the several arithmetical complements are what the sines of the arcs want of radius , viz . their distances from radius or 90 ° . In the same manner the intermediate degrees , and divisions of the degrees are found . ( R ) ...
... radius ; and the several arithmetical complements are what the sines of the arcs want of radius , viz . their distances from radius or 90 ° . In the same manner the intermediate degrees , and divisions of the degrees are found . ( R ) ...
Σελίδα 22
... radius Is to sine of one of the sides containing any angle ; so is the sine of the other contain- ing side , to a fourth sine . As this fourth sine Is to sine of half the sum of the three sides ; so is the sine of this half sum ...
... radius Is to sine of one of the sides containing any angle ; so is the sine of the other contain- ing side , to a fourth sine . As this fourth sine Is to sine of half the sum of the three sides ; so is the sine of this half sum ...
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.