The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
From inside the book
Results 6-10 of 50
Page 59
... parallel to one side of a tri- angle ACD , it will cut the two other sides proportionally , viz . AB : BC :: AE : ED . Draw CE and BD ; the triangles BEC and EBD being on the same base BE and under the same parallel CD , will be equal ...
... parallel to one side of a tri- angle ACD , it will cut the two other sides proportionally , viz . AB : BC :: AE : ED . Draw CE and BD ; the triangles BEC and EBD being on the same base BE and under the same parallel CD , will be equal ...
Page 60
... parallel to the remaining side . Cor . 3. Hence also , theo . 16. is manifest ; since the sides of the triangles ABE , ACD , being equi- angular , are proportional . THEO . XXI . PL . 2. fig . 4 . If two triangles ABC , ADE , have an ...
... parallel to the remaining side . Cor . 3. Hence also , theo . 16. is manifest ; since the sides of the triangles ABE , ACD , being equi- angular , are proportional . THEO . XXI . PL . 2. fig . 4 . If two triangles ABC , ADE , have an ...
Page 67
... parallel to a given right tine CD . From the point A , to any point F , in the line CD , draw the line AF , with the interval FA , and one foot of the compasses in F , describe the arc AE , and with the like interval and one foot in A ...
... parallel to a given right tine CD . From the point A , to any point F , in the line CD , draw the line AF , with the interval FA , and one foot of the compasses in F , describe the arc AE , and with the like interval and one foot in A ...
Page 68
... parallel . PROB . IX . PL . 1. fig . 17 , Upon a given line AB to describe a square ABCD . Make BC perpendicular and equal to AB ; and from A and C , with the line AB , or BC , let two arcs be described , cutting each other in D ; from ...
... parallel . PROB . IX . PL . 1. fig . 17 , Upon a given line AB to describe a square ABCD . Make BC perpendicular and equal to AB ; and from A and C , with the line AB , or BC , let two arcs be described , cutting each other in D ; from ...
Page 69
... parallel , FN will be parallel to EM ; and in the same manner , GO to FN ( by theo . 12. ) therefore AM , MN , NO , being all equal by construction , it is plain ( from theo . 10. ) that AE , EF , FG , & c . will like- wise be equal ...
... parallel , FN will be parallel to EM ; and in the same manner , GO to FN ( by theo . 12. ) therefore AM , MN , NO , being all equal by construction , it is plain ( from theo . 10. ) that AE , EF , FG , & c . will like- wise be equal ...
Other editions - View all
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.