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 v
... similar parts of the Trigonometry at the end of Legendre's Geometry . FIRST , Where the three sides of a spherical triangle are given , to find an angle . In Prop . xxvIII . of Dr. Simson's work , the process is con- ducted from ...
... similar parts of the Trigonometry at the end of Legendre's Geometry . FIRST , Where the three sides of a spherical triangle are given , to find an angle . In Prop . xxvIII . of Dr. Simson's work , the process is con- ducted from ...
Σελίδα vii
... similar to that given in the Trigonometry of Nikitin and Souvoroff , inspectors of the Imperial Academy at Cronstadt , and to the method used by the late Dr. Horsley , Bishop of St. Asaph , at page 137 of his treatise . Book III ...
... similar to that given in the Trigonometry of Nikitin and Souvoroff , inspectors of the Imperial Academy at Cronstadt , and to the method used by the late Dr. Horsley , Bishop of St. Asaph , at page 137 of his treatise . Book III ...
Σελίδα 14
... similar manner the natural cosine is found , being 81167 . PROPOSITION III . ( T ) To find the degrees , minutes , or degrees , minutes , and seconds , corresponding to any given logarithm , sine , tangent , & c . RULE . Find the ...
... similar manner the natural cosine is found , being 81167 . PROPOSITION III . ( T ) To find the degrees , minutes , or degrees , minutes , and seconds , corresponding to any given logarithm , sine , tangent , & c . RULE . Find the ...
Σελίδα 17
... similar to those marked A , B , C , & c . The scale A contains 40 equal parts to an inch , the scale в 35 , € 30 , & c . But the most useful scale of equal parts is ( G ) The Diagonal Scale . Draw eleven lines parallel to , and ...
... similar to those marked A , B , C , & c . The scale A contains 40 equal parts to an inch , the scale в 35 , € 30 , & c . But the most useful scale of equal parts is ( G ) The Diagonal Scale . Draw eleven lines parallel to , and ...
Σελίδα 19
... similar , viz . they are each one - tenth of the primary divisions , and are distinguished by lines of about half the length of the primary divisions . These subdivisions are again divided into ten parts , where room will permit ; and ...
... similar , viz . they are each one - tenth of the primary divisions , and are distinguished by lines of about half the length of the primary divisions . These subdivisions are again divided into ten parts , where room will permit ; and ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute 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 natural number 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 SCHOLIUM secant side AC sine A sine sine BC Sine Co-sine sphere spherical angle spherical triangle ABC Spherical Trigonometry star star's subtract sun's declination supplement tables 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.