Elements of Plane and Spherical TrigonometryBaldwin, Cradock, and Joy, 1816 - 244 Seiten |
Im Buch
Ergebnisse 1-5 von 19
Seite 118
... longitude ; and those places which lie under different meridians have different longitudes . The dif ference of longitude between any two places , is the dis- tance of their meridians measured in degrees , & c 118 Projections of the Sphere ...
... longitude ; and those places which lie under different meridians have different longitudes . The dif ference of longitude between any two places , is the dis- tance of their meridians measured in degrees , & c 118 Projections of the Sphere ...
Seite 120
... longitude of a heavenly body is an arc of the ecliptic , contained between the 1st point of Aries ( that is , one of the equinoctial points ) , and a secondary to the ecliptic , or a circle of latitude passing through the body . 18. The ...
... longitude of a heavenly body is an arc of the ecliptic , contained between the 1st point of Aries ( that is , one of the equinoctial points ) , and a secondary to the ecliptic , or a circle of latitude passing through the body . 18. The ...
Seite 132
... longitude : from the centre G ' with the radius G ' we describe a circle , it will be the circle of latitude which answers to the longitude sup- posed . Repeating the same operation on the other side of the line E , we shall have the ...
... longitude : from the centre G ' with the radius G ' we describe a circle , it will be the circle of latitude which answers to the longitude sup- posed . Repeating the same operation on the other side of the line E , we shall have the ...
Seite 152
... longitude ( chap . viii . art . 17 , 18 ) . These , and many other branches of astronomical in- quiry , which we shall not here be able to touch , de- pending upon the mutual relations and intersections of different circles of the ...
... longitude ( chap . viii . art . 17 , 18 ) . These , and many other branches of astronomical in- quiry , which we shall not here be able to touch , de- pending upon the mutual relations and intersections of different circles of the ...
Seite 153
... longitude , l , SL its latitude , L , or Ps its co - latitude , PSP ′ = = P , angle of position ; and PP ' is given 23 ° 27 ′ 49 ′′ , the present measure of the obliquity of the ecliptic . It is farther evident that SP'P is the ...
... longitude , l , SL its latitude , L , or Ps its co - latitude , PSP ′ = = P , angle of position ; and PP ' is given 23 ° 27 ′ 49 ′′ , the present measure of the obliquity of the ecliptic . It is farther evident that SP'P is the ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
altitude angled spherical triangle axis azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius rectangle right angled spherical right angled triangle right ascension right line secant sin a sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence yards zenith
Beliebte Passagen
Seite 4 - 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.
Seite 248 - SCIENTIFIC DIALOGUES ; intended for the Instruction and Entertainment of Young People ; in which the first principles of Natural and Experimental Philosophy are fully explained, by the Rev.
Seite 225 - ... third of the excess of the sum of its three angles above two right angles...
Seite 19 - In any plane triangle, as twice the rectangle under any two sides is to the difference of the sum of the squares of those two sides and the square of the base, so is the radius to the cosine of the angle contained by the two sides.
Seite 30 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 249 - OSTELL'S NEW GENERAL ATLAS; containing distinct Maps of all the principal States and Kingdoms throughout the World...
Seite 34 - Call any one of the sides radius, and write upon it the word radius ; observe whether the other sides become sines, tangents, or secants, and write those words upon them accordingly. Call the word written upon each side the name of each side ; then say, As the name of the given side, Is to the given side ; So is the name of the required side, To the required side.
Seite 69 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower was 33° 45' ; required the height of the tower.
Seite 18 - AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference.
Seite 83 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...