The Description, Nature and General Use, of the Sector and Plain-scale: Briefly and Painly [sic] Laid Down. As Also a Short Account of the Uses of the Lines of Numbers, Artificial Sines and Tangents |
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Page 2
... right Lines , appertaining to a Circle , which come in competition , with Angles or Arcs . These right Lines are thus de- fined : A Chord of an Arc or Angle is a right Line drawn from one End of an Arc to the Fig.1 . other ; as the Line ...
... right Lines , appertaining to a Circle , which come in competition , with Angles or Arcs . These right Lines are thus de- fined : A Chord of an Arc or Angle is a right Line drawn from one End of an Arc to the Fig.1 . other ; as the Line ...
Page 3
... right Line drawn from the Center of a Circle , through one End of the Arc it is the Secant of , till it meets the Tangent , raised at right Angles to a Diameter drawn to the other End of the Arc ; as ED is the Secant of the Arc AB ...
... right Line drawn from the Center of a Circle , through one End of the Arc it is the Secant of , till it meets the Tangent , raised at right Angles to a Diameter drawn to the other End of the Arc ; as ED is the Secant of the Arc AB ...
Page 4
... draw a Circle , ABDC , which Fig.2 . cross at right Angles with the Dia- meters , AD , CB ; then continue out AD to G , and upon the Point B raise BF per- pendicular to CB . Now draw ... Line AB , ( 4 )
... draw a Circle , ABDC , which Fig.2 . cross at right Angles with the Dia- meters , AD , CB ; then continue out AD to G , and upon the Point B raise BF per- pendicular to CB . Now draw ... Line AB , ( 4 )
Page 5
... Line AB , and fet thereto the Figures 10 , 20 , 30 , & c . and the Line of Chords AB will be divided , and then may ... draw right Lines cutting BF , which will di- vide it into a Line of Tangents , fetting thereto the Numbers 10 , 20 ...
... Line AB , and fet thereto the Figures 10 , 20 , 30 , & c . and the Line of Chords AB will be divided , and then may ... draw right Lines cutting BF , which will di- vide it into a Line of Tangents , fetting thereto the Numbers 10 , 20 ...
Page 8
... drawing a right Line from the angular Point . And the latter , by always making an Arc of 60 Degrees of Chords about the angular Points , and then take- ing the Chord of the faid Arc between your Compaffes , and measuring it on the Line ...
... drawing a right Line from the angular Point . And the latter , by always making an Arc of 60 Degrees of Chords about the angular Points , and then take- ing the Chord of the faid Arc between your Compaffes , and measuring it on the Line ...
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The Description, Nature and General Use of the Sector and Plain-Scale ... EDMUND. STONE No preview available - 2018 |
Common terms and phrases
30 Degrees 45 Degrees 90 Degrees aforefaid alfo Angle ABC artificial Sines Bafe becauſe Cafe and Example Centefmes Center Circle defcribe Defcription Degrees 30 Minutes divided Divifions equal Euclid Example of Prob Extend your Compaffes Extent will reach fame Extent fecond Line fet one Foot firft Line firſt folve the Cafe fought Side fubdivided fuppofe gent given Line grees Horizontal Plan Hour Lines Inch Inftrument Interfection laft Chapter Laftly leffer Tangents Legs Length Line AC Line given Line of Numbers Lines of Chords Lines of Lines Lines of Polygons Lines of Secants Lines of Tangents meaſured muſt Number given number'd open the Sector paffes parallel Diſtance propofed Quadrant rallel regular Polygon remaining thus opened reprefenting right angled right Line drawn Sector fo Sector remaining Semidiameter ſet Sine of 20 Sine of 90 Sines and Tangents Tangent of 30 Thefe Lines Theſe Triangle Trigonometry uſed verfed Sine Whence
Popular passages
Page 4 - 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 2 - A chord (BD) is a right line drawn from one end of an arc to another, and is the measure of the arc. The chord of an arc of 60 degrees is equal in length to the radius of the circle of which the arc is a part. 17. The segment of a circle is a part of a circle cut off by a chord.
Page 3 - The SECANT of an arc is a right line drawn from the centre through one end of the arc to meet the tangent drawn from the other end ; thus CT is the secant of the arc AS.
Page 2 - The sine, or, as it is sometimes called, the right sine, of an arc, is a right line drawn from one...
Page 3 - K and PHQ are tangents. A tangent of a circle is at right angles to the diameter drawn through the point of contact. There may be tangents to other curve-lines as well as to circles.
Page 10 - Joint like a Carpenter's Rule ; fo that the faid Legs, together with certain right Lines, drawn from the Center of the jokit, contain Angles of different Quantities.
Page 9 - Miles make a Degree ; in the Latitude of 60 Degrees, 30 Miles make a Degree ; in the Latitude of 80 Degrees, 10 Miles make a Degree.
Page 9 - The graduated line of chords is necessary, in order to show the latitudes ; the line of longitude shows the quantity of a degree on each parallel in sixtieth parts of an equatorial degree, that is, miles. The lines of tangents, semitangents and secants serve to find the centres and poles of projected circles in the stereographical projection of the sphere. The line of sines is principally used for the orthographic projection of the sphere. The lines of latitudes and hours are used conjointly, and...
Page 9 - Latitude : As, in the Latitude of no Degrees, that is, under the Equator, 60 Miles make a Degree ; in . the Latitude of 40 Degrees...