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 16
... Describe a semicircle with any convenient radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) Rhumbs . Divide the ...
... Describe a semicircle with any convenient radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( Y ) Rhumbs . Divide the ...
Σελίδα 26
... describe arts crossing each other in c ; a line CD , 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 ...
... describe arts crossing each other in c ; a line CD , 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 ...
Σελίδα 27
... describe the arc ef . Take 30 ° from the same scale of chords and set them off from e to c ; through c draw the line DC , then CDB is the angle required . To make an angle of 150 ° . Produce the line BD to e , with the centre D and the ...
... describe the arc ef . Take 30 ° from the same scale of chords and set them off from e to c ; through c draw the line DC , then CDB is the angle required . To make an angle of 150 ° . Produce the line BD to e , with the centre D and the ...
Σελίδα 36
... describe a circle . The angle CBG the angle EBG equal to half the sum of the angles CAB and BCA ; for the triangles CBG and EBG have the two sides BC and CG , equal to the two sides BE and EG , and the side BG common to both , therefore ...
... describe a circle . The angle CBG the angle EBG equal to half the sum of the angles CAB and BCA ; for the triangles CBG and EBG have the two sides BC and CG , equal to the two sides BE and EG , and the side BG common to both , therefore ...
Σελίδα 37
... describe a circle , produce ac to н ; then because CF = CB = CH ; AA = AC + CB the sum of the sides , and AF AC - difference between the sides . - -- BC the A ED Because CD is perpendicular to GB , GDBD ( Euclid 3 of III . ) therefore ...
... describe a circle , produce ac to н ; then because CF = CB = CH ; AA = AC + CB the sum of the sides , and AF AC - difference between the sides . - -- BC the A ED Because CD is perpendicular to GB , GDBD ( Euclid 3 of III . ) therefore ...
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.