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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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 24
... falls ; bring the right hand point from 45 ° to the third term of the proportion ; this extent now in the compasses ... fall under 45 ° backward . CHAP . V. GEOMETRICAL DEFINITIONS , AND INTRODUCTORY PROBLEMS . DEFINITIONS , & c . OF ...
... falls ; bring the right hand point from 45 ° to the third term of the proportion ; this extent now in the compasses ... fall under 45 ° backward . CHAP . V. GEOMETRICAL DEFINITIONS , AND INTRODUCTORY PROBLEMS . DEFINITIONS , & c . OF ...
Σελίδα 29
... fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides ED and the less segment DC , will meet the less of these sides ( BC ) . ( H ) In an equilateral or isosceles triangle a ...
... fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides ED and the less segment DC , will meet the less of these sides ( BC ) . ( H ) In an equilateral or isosceles triangle a ...
Σελίδα 32
... fall on the contrary side of the diameter . Let BF be any arc , ( Plate I. fig . 1. ) its supplement is rafb , bt is the tangent of the supplement , and it is equal to BT . For the right angled triangles CBT and cbt are equi - angular ...
... fall on the contrary side of the diameter . Let BF be any arc , ( Plate I. fig . 1. ) its supplement is rafb , bt is the tangent of the supplement , and it is equal to BT . For the right angled triangles CBT and cbt are equi - angular ...
Σελίδα 39
... falls within the triangle ac2 AB + BC2 2AB X BD . ( EUCLID 13 of II . ) 2. If the perpendicular falls without the triangle AC2 AB2 + BC2 + 2AB X BD . ( EUCLID 13 of II . ) From the first BD = From the second BD A A AB + BC2 - AC2 2AB ...
... falls within the triangle ac2 AB + BC2 2AB X BD . ( EUCLID 13 of II . ) 2. If the perpendicular falls without the triangle AC2 AB2 + BC2 + 2AB X BD . ( EUCLID 13 of II . ) From the first BD = From the second BD A A AB + BC2 - AC2 2AB ...
Σελίδα 44
... fall the perpendicular CB ( P. 26 ) then ABC is the triangle required . AB measured by the same scale of equal parts , which the hypothenuse was measured by , will be 288 , and BC will be 384 . A B * The given parts of a triangle are ...
... fall the perpendicular CB ( P. 26 ) then ABC is the triangle required . AB measured by the same scale of equal parts , which the hypothenuse was measured by , will be 288 , and BC will be 384 . A B * The given parts of a triangle are ...
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.