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 13
... sine and cosine of 39 ° .42 ' . Natural sine of 39 ° . 42 ′ = 63877 , cosine = 76940 . Logarithmical sine of 39 ° . 42 ′ = 9 · 80534 , cosine 9.88615 . Required the natural and logarithm . sine and cosine of 73 ° .27 ' . Natural sine of ...
... sine and cosine of 39 ° .42 ' . Natural sine of 39 ° . 42 ′ = 63877 , cosine = 76940 . Logarithmical sine of 39 ° . 42 ′ = 9 · 80534 , cosine 9.88615 . Required the natural and logarithm . sine and cosine of 73 ° .27 ' . Natural sine of ...
Σελίδα 15
... sine of an arc , by the help of a table of natural or logarithmical sines . To find the natural versed sine ; subtract the natural cosine from an unit if the arc be less than 90 ° , but if greater than 90 , add it to an unit . To find ...
... sine of an arc , by the help of a table of natural or logarithmical sines . To find the natural versed sine ; subtract the natural cosine from an unit if the arc be less than 90 ° , but if greater than 90 , add it to an unit . To find ...
Σελίδα 22
... 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 diminished by the side opposite the given angle , to a seventh sine . The mean ...
... 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 diminished by the side opposite the given angle , to a seventh sine . The mean ...
Σελίδα 23
... sine ( AB + BC hence it follows that sine ( AB + BC + AC ) × sine ( AB + BC ÷ ˆ Now Gunter's proportions are sine AB X sine BC rad . : sine AB :: sine BC : " the fourth sine , rad . sine AB X sine BC and rad . versed sine supp * B 2 sine ( ...
... sine ( AB + BC hence it follows that sine ( AB + BC + AC ) × sine ( AB + BC ÷ ˆ Now Gunter's proportions are sine AB X sine BC rad . : sine AB :: sine BC : " the fourth sine , rad . sine AB X sine BC and rad . versed sine supp * B 2 sine ( ...
Σελίδα 32
... sine of 45 ° , § and an arc of 90 ° has no secant . ( N ) The versed sine of an arc is that part of the diameter which is contained between the sine and the arc . Thus BG is the versed sine of the arc BF , and be is the versed sine of ...
... sine of 45 ° , § and an arc of 90 ° has no secant . ( N ) The versed sine of an arc is that part of the diameter which is contained between the sine and the arc . Thus BG is the versed sine of the arc BF , and be is the versed sine of ...
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.