The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 43
... same with the sine o = ing them according to demais self - same line ; thus H1 fis ar : ne of HB , or of its supplemen : 8 28. The measure of ancie arc of a circle swept for angular p T ABCD is a parallelogram . Fig . 3. 17 ,. GEOMETRY .
... same with the sine o = ing them according to demais self - same line ; thus H1 fis ar : ne of HB , or of its supplemen : 8 28. The measure of ancie arc of a circle swept for angular p T ABCD is a parallelogram . Fig . 3. 17 ,. GEOMETRY .
Page 45
... circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that it is possible for one right line to be per- pendicular to another , at a given point or distance ...
... circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that it is possible for one right line to be per- pendicular to another , at a given point or distance ...
Page 51
... circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . Through the point 4 , and the centre C , draw the line ACE : then the angle ECD = CAD , + CDA ; ( by theo 4. ) but since AC = CD being radii ...
... circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . Through the point 4 , and the centre C , draw the line ACE : then the angle ECD = CAD , + CDA ; ( by theo 4. ) but since AC = CD being radii ...
Page 52
... circle , and consequently less than a right angle . Fig . 27 . Cor . 4. An angle in a segment less than a semi- circle , is greater than a right angle , for since the arc AEC is greater than a semicircle , its half , which is the ...
... circle , and consequently less than a right angle . Fig . 27 . Cor . 4. An angle in a segment less than a semi- circle , is greater than a right angle , for since the arc AEC is greater than a semicircle , its half , which is the ...
Page 53
... circle ABE there be drawn a perpen- dicular CD on the chord AB , and produced till it meets the circle in F , that line CF , will bisect the arc AB in the point F. Let the lines AF and BF be drawn , then in the triangles ADF , BDF ; AD ...
... circle ABE there be drawn a perpen- dicular CD on the chord AB , and produced till it meets the circle in F , that line CF , will bisect the arc AB in the point F. Let the lines AF and BF be drawn , then in the triangles ADF , BDF ; AD ...
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 25 - 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, &c.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.