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 xiii
... drawn up with the design of counteracting the effects of any unfavourable impression that might have gone abroad respecting it , and of paralizing the efforts I might make to enforce my demand . The parts copied could not be cancelled ...
... drawn up with the design of counteracting the effects of any unfavourable impression that might have gone abroad respecting it , and of paralizing the efforts I might make to enforce my demand . The parts copied could not be cancelled ...
Σελίδα 16
... drawn upon it equal parts , chords , sines , tangents , secants , & c . These are contained on one side of the scale ... draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) ...
... drawn upon it equal parts , chords , sines , tangents , secants , & c . These are contained on one side of the scale ... draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) ...
Σελίδα 17
... draw lines a 10 ; b 20 , & c . parallel to DC , and every tenth of them will cut the arc AD in the points a , b , c ... drawn to a larger radius than the lines above described , and consequently are applied to a larger scale of chords ...
... draw lines a 10 ; b 20 , & c . parallel to DC , and every tenth of them will cut the arc AD in the points a , b , c ... drawn to a larger radius than the lines above described , and consequently are applied to a larger scale of chords ...
Σελίδα 18
... drawn on a scale or ruler ; with which , proportions in common numbers , and trigonometry , may be solved by the application of a pair of compasses only . The method is founded on this property , That the logarithms of the terms of ...
... drawn on a scale or ruler ; with which , proportions in common numbers , and trigonometry , may be solved by the application of a pair of compasses only . The method is founded on this property , That the logarithms of the terms of ...
Σελίδα 26
... drawn through c and D , will be the perpendicular required . ( 0 ) Otherwise . When the point D is at the end of the line GH ; with the centre D and any opening of the compasses describe an arc ; set off the distance AD from A to B ...
... drawn through c and D , will be the perpendicular required . ( 0 ) Otherwise . When the point D is at the end of the line GH ; with the centre D and any opening of the compasses describe an arc ; set off the distance AD from A to B ...
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.