Elements of Trigonometry, Plane and Spherical: With the Principles of Perspective, and Projection of the Sphere. By John WrightA. Murray & J. Cochran. Sold by A. Kincaid & W. Creech, W. Gray, and J. Bell; by D. Baxter, Glasgow, 1772 - 251 Seiten |
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Seite 74
... shall be fo divided as to answer a num- ber of three or more places of figures . 22. Multiplication by the line of num- bers . Extend the compaffes from the be- ginning of the line to one of the factors ; the fame distance shall reach ...
... shall be fo divided as to answer a num- ber of three or more places of figures . 22. Multiplication by the line of num- bers . Extend the compaffes from the be- ginning of the line to one of the factors ; the fame distance shall reach ...
Seite 75
... reach from the third term of the proportio- nals to the fourth : fo the distance from 3 to 6 shall reach from 4 to 8 ; and so on . 25. The line of logarithmic fines . This line , marked Sin . may be constructed in this manner . Observe ...
... reach from the third term of the proportio- nals to the fourth : fo the distance from 3 to 6 shall reach from 4 to 8 ; and so on . 25. The line of logarithmic fines . This line , marked Sin . may be constructed in this manner . Observe ...
Seite 81
... reach to 3 , which is now to be reckoned 30. At the fame opening of the sector the parallel distance of 7 fhall reach from the centre to 35 , that of 8 shall reach from the centre to 40 , & c . 39. Divifion by the lines of lines . Make ...
... reach to 3 , which is now to be reckoned 30. At the fame opening of the sector the parallel distance of 7 fhall reach from the centre to 35 , that of 8 shall reach from the centre to 40 , & c . 39. Divifion by the lines of lines . Make ...
Seite 82
... shall reach to the third proportional 2. In all these cafes , if the number to be made a parallel diftance be too great for the fector , fome aliquot part of it is to be taken , and the answer is to be multiplied by the number by which ...
... shall reach to the third proportional 2. In all these cafes , if the number to be made a parallel diftance be too great for the fector , fome aliquot part of it is to be taken , and the answer is to be multiplied by the number by which ...
Seite 86
... shall reach on the line of fines from 90 to the number of degrees and parts of a degree fought . ( 4 ) Solution by the sector . Take 406 in the compaffes from one of the lines of lines ; open the fector till this diftance become the ...
... shall reach on the line of fines from 90 to the number of degrees and parts of a degree fought . ( 4 ) Solution by the sector . Take 406 in the compaffes from one of the lines of lines ; open the fector till this diftance become the ...
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Elements of Trigonometry, Plane and Spherical: With the Principles of ... John Wright (mathematician ) Keine Leseprobe verfügbar - 2020 |
Häufige Begriffe und Wortgruppen
ABCD adjacent alfo angle ABC angle ACB angle BAC angle BCA angle contained arithmetical mean bafe baſe becauſe centre circumference cofine cofine of BA complement conftructed contained by radius defcribed diameter divifions Extend the compaffes fame fecant fecond fect feries fhadow fhall reach fide AC firſt fourth proportional fquare ftraight lines fubtract geometrical mean geometrical plane given Hence hypothenufe join leffer circle likewife line of numbers lines of fines lines of tangents loga marked tan meaſure meeting number of degrees oblique-angled oppofite parallel diſtance perfpective plane perpendicular perſpective plane triangles pole PROP proper fraction propofition Q. E. D. Cor quadrant rectangle contained right angles right-angled ſpherical triangle rithm ſcale ſector ſhall ſpace ſphere ſpherical angle ſquare tangent of half terreftrial line thefe THEOR theſe three terms triangle ABC trigonometry wherefore whofe whoſe
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Seite 81 - Proportion by the line of lines. Make the lateral distance of the second term the parallel distance of the first term ; the parallel distance of the third term is the fourth proportional. Example. To find a fourth proportional to 8, 4, and 6, take the lateral distance of 4, and make it the parallel distance of 8 ; then the parallel distance of 6, extended from the centre, shall reach to the fourth proportional 3, In the same manner a third proportional is found to two numbers. Thus, to find a third...
Seite 2 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Seite 82 - Thus, if it were required to find a fourth proportional to 4, 8, and 6; because the lateral distance of the second term 8 cannot be made the parallel distance of the first term 4, take the lateral distance of 4, viz. the half of 8, and make it the parallel distance of the first term 4 ; then the parallel distance of the third term 6, shall reach from the centre to 6, viz.
Seite 94 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Seite 82 - ... reach to the fourth proportional 3. In the same manner, a third proportional is found to two numbers. Thus, to find a third proportional to 8 and 4, the sector remaining as in the former example, the parallel distance of 4, extended from the centre, shall reach to the third proportional 2.
Seite 164 - If a solid angle be contained by three plane angles, any two of them are together greater than the third.
Seite 27 - N. and if the firft be a multiple, or part of the fecond ; the third is the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be a multiple of B ; C is the fame multiple of D. Take E equal to A, and whatever multiple A or E is of B, make F the fame multiple of D. then becaufe A is to B, as C is to D ; and of B the fecond and D the fourth equimultiples have been taken E and F...
Seite 74 - From 1 to 2 From 2 to 3 From 3 to 4 From 4 to 5 From 5 to 6 From 6 to 7 From 7 to 8 From 8 to 9...
Seite 39 - But in logarithms, division is performed by subtraction ; that is, the difference of -the logarithms of two num-bers, is the logarithm of the quotient of those numbers.
Seite 237 - ... circumpolar, or so near to the elevated pole as to perform its apparent daily revolution about it without passing below the horizon, then the latitude of the place will be equal to the sum of the true altitude, and the codeclination or polar distance of the object; for this sum will obviously measure the elevation of the pole above the horizon, which is equal to the latitude.