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 sider |
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Side 22
... side having three angles of a spherical triangle given . ” He then gives the following proportions : 66 As radius Is ... AC ) _x sine ( AB + BC + AC ) — AC ; square cosine B. But radius x versed sine supp ' B square cosine B hence ...
... side having three angles of a spherical triangle given . ” He then gives the following proportions : 66 As radius Is ... AC ) _x sine ( AB + BC + AC ) — AC ; square cosine B. But radius x versed sine supp ' B square cosine B hence ...
Side 25
... ac is the measure of the angle ABC and the arc DE is the measure of the ... side equal to one another , each of these equal angles is said to be a right ... side of the line AB , they are altogether CHAP . V. 25 GEOMETRICAL DEFINITIONS ...
... ac is the measure of the angle ABC and the arc DE is the measure of the ... side equal to one another , each of these equal angles is said to be a right ... side of the line AB , they are altogether CHAP . V. 25 GEOMETRICAL DEFINITIONS ...
Side 26
... side of D take the equal distances AD and BD . GA -H D B : With any extent ... side of GH to which the point c is , and with the distance ce and centre c ... AC and GC , describe arcs crossing each other in E , ⚫ the line CDE drawn ...
... side of D take the equal distances AD and BD . GA -H D B : With any extent ... side of GH to which the point c is , and with the distance ce and centre c ... AC and GC , describe arcs crossing each other in E , ⚫ the line CDE drawn ...
Side 28
... side Ac , or that opposite to the right angle B , is called the hypothenuse ; the other two AB and BC , are called the legs , or sides , or the base and perpendicular . A Hypoth P Perp . Base B ( X ) The sum of the three angles of every ...
... side Ac , or that opposite to the right angle B , is called the hypothenuse ; the other two AB and BC , are called the legs , or sides , or the base and perpendicular . A Hypoth P Perp . Base B ( X ) The sum of the three angles of every ...
Side 29
... side . ( G ) If a perpendicular BD be drawn upon the longest side of any ... A C 64 55 61119 B D ( K ) In a right angled plane triangle , the hypothenuse ... side . ( L ) Each of the angles of an equilateral triangle is 60 de- grees , ( M ) ...
... side . ( G ) If a perpendicular BD be drawn upon the longest side of any ... A C 64 55 61119 B D ( K ) In a right angled plane triangle , the hypothenuse ... side . ( L ) Each of the angles of an equilateral triangle is 60 de- grees , ( M ) ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 28 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.