Elements of Plane and Spherical TrigonometryBaldwin, Cradock, and Joy, 1816 - 244 Seiten |
Im Buch
Ergebnisse 1-5 von 15
Seite 6
... chord is less than the arc , and the sine less than the chord . For , in the preceding diagram , the circular sector CAB is less than the triangle CAT , the former being con- tained within the latter . That is , by the rules for men ...
... chord is less than the arc , and the sine less than the chord . For , in the preceding diagram , the circular sector CAB is less than the triangle CAT , the former being con- tained within the latter . That is , by the rules for men ...
Seite 9
... chord of any arc is a mean proportional be- tween the versed sine of that arc and the diameter of the circle . * The nature and use of logarithms being fully explained in Dr. Hutton's valuable work , and , indeed , in every collection ...
... chord of any arc is a mean proportional be- tween the versed sine of that arc and the diameter of the circle . * The nature and use of logarithms being fully explained in Dr. Hutton's valuable work , and , indeed , in every collection ...
Seite 10
Olinthus Gregory. M In the marginal figure , AB is the chord , and AD is the versed sine of the arc AB . BL being joined the angle LBA in a semicircle is a right angle , and is therefore equal to angle BDA , BD being perpendicular to LA ...
Olinthus Gregory. M In the marginal figure , AB is the chord , and AD is the versed sine of the arc AB . BL being joined the angle LBA in a semicircle is a right angle , and is therefore equal to angle BDA , BD being perpendicular to LA ...
Seite 11
... chord of 60 ° is equal to the radius of the cir- cle ; the versed sine , and cosine of 60 ° are each equal to half the radius ; and the secant of 60 ° is equal to double the radius . Let AB be an arc of 60 ° , AB its chord , CD its ...
... chord of 60 ° is equal to the radius of the cir- cle ; the versed sine , and cosine of 60 ° are each equal to half the radius ; and the secant of 60 ° is equal to double the radius . Let AB be an arc of 60 ° , AB its chord , CD its ...
Seite 22
... chord , and arc , differ almost im- perceptibly from the ratio of equality ; so that the first ten of the preceding figures , that is , 0002908882 may be regarded as the sine of 1 ' ; and in fact the sine given in the tables which run ...
... chord , and arc , differ almost im- perceptibly from the ratio of equality ; so that the first ten of the preceding figures , that is , 0002908882 may be regarded as the sine of 1 ' ; and in fact the sine given in the tables which run ...
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...