Elements of Plane and Spherical TrigonometryBaldwin, Cradock, and Joy, 1816 - 244 páginas |
Dentro del libro
Resultados 1-5 de 33
Página xi
... lines and angles of circles and plane triangles · III . Solutions of the several cases of plane tri- angles IV . Plane ... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto • 08008 ... line 4 , for rad❜ 4 CONTENTS .
... lines and angles of circles and plane triangles · III . Solutions of the several cases of plane tri- angles IV . Plane ... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto • 08008 ... line 4 , for rad❜ 4 CONTENTS .
Página 2
... line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon ... right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse of a right angled triangle ...
... line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon ... right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse of a right angled triangle ...
Página 5
... right line which touches it in one extremity , and is limited by a right line drawn from the centre of the circle through the other extre- mity . } 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These ...
... right line which touches it in one extremity , and is limited by a right line drawn from the centre of the circle through the other extre- mity . } 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These ...
Página 6
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc ...
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc ...
Página 27
... right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right line AC , to make with AB an angle of 58 ° 7 ′ ; and from A C B the point B another line , turned towards the former , and to ...
... right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right line AC , to make with AB an angle of 58 ° 7 ′ ; and from A C B the point B another line , turned towards the former , and to ...
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 225 - ... third of the excess of the sum of its three angles above two right angles...
Página 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.
Página 30 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 249 - OSTELL'S NEW GENERAL ATLAS; containing distinct Maps of all the principal States and Kingdoms throughout the World...
Página 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.
Página 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.
Página 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.
Página 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...