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 |
Inni boken
Resultat 1-5 av 90
Side xxv
... opposite side are constant quantities 7. To find the fluxions of the several parts of an OB- LIQUE - ANGLED spherical triangle , when two of its sides are constant quantities 8. To find the fluxions of the several parts of an OB- LIQUE ...
... opposite side are constant quantities 7. To find the fluxions of the several parts of an OB- LIQUE - ANGLED spherical triangle , when two of its sides are constant quantities 8. To find the fluxions of the several parts of an OB- LIQUE ...
Side 22
... sides ; so is the sine of this half sum diminished by the side opposite the given angle , to a seventh sine . The mean proportional between this seventh sine and the radius , gives the sine of the complement of half the angle re- quired ...
... sides ; so is the sine of this half sum diminished by the side opposite the given angle , to a seventh sine . The mean proportional between this seventh sine and the radius , gives the sine of the complement of half the angle re- quired ...
Side 28
... opposite to the right angle B , is called the hypothenuse ; the other two AB and BC , are called the legs , or sides ... side . The greatest side of any triangle is oppo- site to the greatest angle ; and the contrary , the greatest angle ...
... opposite to the right angle B , is called the hypothenuse ; the other two AB and BC , are called the legs , or sides ... side . The greatest side of any triangle is oppo- site to the greatest angle ; and the contrary , the greatest angle ...
Side 29
... side . ( G ) If a perpendicular BD be drawn upon the longest side of any triangle , from the opposite angle , it will fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides ED and the ...
... side . ( G ) If a perpendicular BD be drawn upon the longest side of any triangle , from the opposite angle , it will fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides ED and the ...
Side 34
... SIDES AND ANGLES OF PLANE TRIANGLES . PROPOSITION I. ( Plate I. Fig . 4. ) ( Y ) In any right angled plane triangle ... opposite to it , as the sine of any other angle is to its opposite side . II . If the base be the radius of a circle ...
... SIDES AND ANGLES OF PLANE TRIANGLES . PROPOSITION I. ( Plate I. Fig . 4. ) ( Y ) In any right angled plane triangle ... opposite to it , as the sine of any other angle is to its opposite side . II . If the base be the radius of a circle ...
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.