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 6
... Inch , or fome Part thereof , as I half , or 1 fourth , is divided into 100 equal Parts , by means of Di- · agonals ... Inch , parallel to BC ; then di- vide an Inch , fuppofe DB , into 10 equal Parts , as alfo FC , and draw the ...
... Inch , or fome Part thereof , as I half , or 1 fourth , is divided into 100 equal Parts , by means of Di- · agonals ... Inch , parallel to BC ; then di- vide an Inch , fuppofe DB , into 10 equal Parts , as alfo FC , and draw the ...
Page 7
... Inch . Again , to find the 100th Part of an Inch , look where the Parallel 1 cuts the Diagonal D 10 , and the Distance from that Point to DF will be the 100th Part of an Inch . For from the Similiarity of Triangles , demonftrated per ...
... Inch . Again , to find the 100th Part of an Inch , look where the Parallel 1 cuts the Diagonal D 10 , and the Distance from that Point to DF will be the 100th Part of an Inch . For from the Similiarity of Triangles , demonftrated per ...
Page 8
... Inch for 1. And lastly , it may be expreffed by .365 , in taking 1 Inch for . And this is the Ufe of the Diagonal Scale . As for the Ufes of the Chords , Sines , Tan- gents , & c . the Chords are to lay off the Quan tity of any Angle ...
... Inch for 1. And lastly , it may be expreffed by .365 , in taking 1 Inch for . And this is the Ufe of the Diagonal Scale . As for the Ufes of the Chords , Sines , Tan- gents , & c . the Chords are to lay off the Quan tity of any Angle ...
Page 10
... Inches , having a proper Breadth and Thickness . This Inftrument takes its Name from a Sector in Geometry , which Euclid defines , in the 9th Def . of his 3d Book , to be a Figure comprehended.under two right Lines making an Angle , and ...
... Inches , having a proper Breadth and Thickness . This Inftrument takes its Name from a Sector in Geometry , which Euclid defines , in the 9th Def . of his 3d Book , to be a Figure comprehended.under two right Lines making an Angle , and ...
Page 12
... Inches in Length , drawn from the Center of the Joint , and making an Angle with each other , equal to the Angle that any one of the aforefaid Lines make refpec tively with each other ; tho ' on fome Sectors this Angle is leffer . Thefe ...
... Inches in Length , drawn from the Center of the Joint , and making an Angle with each other , equal to the Angle that any one of the aforefaid Lines make refpec tively with each other ; tho ' on fome Sectors this Angle is leffer . Thefe ...
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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...