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
... 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 of greater extent ...
... 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 of greater extent ...
Σελίδα xii
... mean to insinuate that the French have made no improvements in the mathematical sciences , he is convinced that they have made several , and that in a variety of instances their method of demonstration is neat and perspicuous ; but his ...
... mean to insinuate that the French have made no improvements in the mathematical sciences , he is convinced that they have made several , and that in a variety of instances their method of demonstration is neat and perspicuous ; but his ...
Σελίδα xvii
... means the students will readily learn the use of the Nautical Almanac , and in a school where several are studying the same subject , their pro- gress will not be retarded by waiting for the Almanac . The examples will be found ...
... means the students will readily learn the use of the Nautical Almanac , and in a school where several are studying the same subject , their pro- gress will not be retarded by waiting for the Almanac . The examples will be found ...
Σελίδα 22
... mean proportional between this seventh sine and the radius , gives the sine of the complement of half the angle re- quired . By the scale , ( X ) Extend the compasses from the sine of 90 to the sine of one of the sides containing any ...
... mean proportional between this seventh sine and the radius , gives the sine of the complement of half the angle re- quired . By the scale , ( X ) Extend the compasses from the sine of 90 to the sine of one of the sides containing any ...
Σελίδα 23
... mean proportion between the 7th sine , and the radius , gives the cosine of half the angle required ; for , square cos . } B = rad . × versed sine supp1 B 66 2 hence cosine B = = V rad . x versed sine supp ' B 2 ✓rad . × 7th sine , the ...
... mean proportion between the 7th sine , and the radius , gives the cosine of half the angle required ; for , square cos . } B = rad . × versed sine supp1 B 66 2 hence cosine B = = V rad . x versed sine supp ' B 2 ✓rad . × 7th sine , the ...
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.