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 xxvii
... subtraction , and shows that the second quantity is to be taken from the first ; as CBGB shows that the line CB is to be diminished by the line GB . × , Into or by , the sign of multiplication ; as EDX DC sig- nifies the rectangle ...
... subtraction , and shows that the second quantity is to be taken from the first ; as CBGB shows that the line CB is to be diminished by the line GB . × , Into or by , the sign of multiplication ; as EDX DC sig- nifies the rectangle ...
Σελίδα 1
... subtraction , involution by multiplication , and the extraction of roots by division . They may therefore be considered as indices to a series of numbers in geometrical progression , where the first term is an unit . Let 1.rl .p2.23.p ...
... subtraction , involution by multiplication , and the extraction of roots by division . They may therefore be considered as indices to a series of numbers in geometrical progression , where the first term is an unit . Let 1.rl .p2.23.p ...
Σελίδα 2
... subtraction . The same observations apply to logarithms when they are 1 fractions , thus if r " denote any number , then will 1 .. 2 3 pn . rn • 4 5 6 rn rn · rn , & c . constitute an increasing series of numbers in geometrical ...
... subtraction . The same observations apply to logarithms when they are 1 fractions , thus if r " denote any number , then will 1 .. 2 3 pn . rn • 4 5 6 rn rn · rn , & c . constitute an increasing series of numbers in geometrical ...
Σελίδα 6
... subtract the logarithm of the de- nominator from the logarithm of the numerator ; if you carry 1 , add it to the index of the logarithm of the denominator ; then take the difference of the indices for the index to the logarithm of the ...
... subtract the logarithm of the de- nominator from the logarithm of the numerator ; if you carry 1 , add it to the index of the logarithm of the denominator ; then take the difference of the indices for the index to the logarithm of the ...
Σελίδα 8
... Subtract the logarithm of the divisor from the logarithm of the dividend , and the 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 ...
... Subtract the logarithm of the divisor from the logarithm of the dividend , and the 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 ...
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.