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 - Perspective - 251 pages |
From inside the book
Results 1-5 of 26
Page 74
... reach from the other factor to the product . Example . To mul- tiply 4 by 9. Extend the compaffes from 1 , at the beginning of the line , to 4 ; the same distance shall reach from 9 to the product 36 . 23. Divifion by the line of ...
... reach from the other factor to the product . Example . To mul- tiply 4 by 9. Extend the compaffes from 1 , at the beginning of the line , to 4 ; the same distance shall reach from 9 to the product 36 . 23. Divifion by the line of ...
Page 75
... reach from unit to the quotient . Thus , the di- stance from 72 to 9 fhall reach from unit to 8 , which is the quotient of 72 divided by 9 . 24. Proportion by the line of numbers . Extend the compasses from the first term of the ...
... reach from unit to the quotient . Thus , the di- stance from 72 to 9 fhall reach from unit to 8 , which is the quotient of 72 divided by 9 . 24. Proportion by the line of numbers . Extend the compasses from the first term of the ...
Page 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 ...
Page 82
... 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 the ...
... 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 the ...
Page 83
... reach from 40 to 40 on the lines of chords . 42. To make a rectilineal figure , fig . 8. fi- milar to the given rectilineal figure AGBCH by means of the lines of chords on the lector , and a line of equal parts . Make EF of the fame ...
... reach from 40 to 40 on the lines of chords . 42. To make a rectilineal figure , fig . 8. fi- milar to the given rectilineal figure AGBCH by means of the lines of chords on the lector , and a line of equal parts . Make EF of the fame ...
Other editions - View all
Elements of Trigonometry, Plane and Spherical: With the Principles of ... John Wright (mathematician ) No preview available - 2020 |
Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 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.
Page 94 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 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.
Page 164 - If a solid angle be contained by three plane angles, any two of them are together greater than the third.
Page 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...
Page 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...
Page 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.
Page 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.