The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtE. Duyckinck, 1811 - 508 páginas |
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Página 46
... parallel , be produced towards their nearest distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something is proposed to be demonstrated ...
... parallel , be produced towards their nearest distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something is proposed to be demonstrated ...
Página 48
... parallels , as GH does AB and CD , then , 1. Their external angles are equal to each other , that is , GEBCFH . 2. The ... parallel to CD , they may be con- sidered as one broad line , crossed by another line , as GH ; ( then by the last ...
... parallels , as GH does AB and CD , then , 1. Their external angles are equal to each other , that is , GEBCFH . 2. The ... parallel to CD , they may be con- sidered as one broad line , crossed by another line , as GH ; ( then by the last ...
Página 49
... parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ( by part 2. of the last . ) There- fore ECD + ACE ...
... parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ( by part 2. of the last . ) There- fore ECD + ACE ...
Página 54
... parallel . If it be denied that AB is parallel to CD , let IK be parallel to it ; then IEF = ( EFD ) = AEF by par 2. theo . 3. ) a - greater to a less , which is ab- sud , whence IK is not parallel ; and the like we can prove of all ...
... parallel . If it be denied that AB is parallel to CD , let IK be parallel to it ; then IEF = ( EFD ) = AEF by par 2. theo . 3. ) a - greater to a less , which is ab- sud , whence IK is not parallel ; and the like we can prove of all ...
Página 55
... parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF parallel , then the parallelogram 4BDC = BDFE = EFHG . For AC - BD = EF ( by cor . the last ; ) to both add CE then AE - CF . In the triangles ABE ...
... parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF parallel , then the parallelogram 4BDC = BDFE = EFHG . For AC - BD = EF ( by cor . the last ; ) to both add CE then AE - CF . In the triangles ABE ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 197 - RULE. From half the sum of the three sides subtract each side severally.
Página 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.
Página 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.