# Difference between revisions of "Dictionary:Stadia tables"

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Tables giving values of the quantities (sin2α)/2 and cos<sup>2</sup>α and/or sin<sup>2</sup>α as functions of α. Used in calculating horizontal (''H'') and vertical (''V'') distances from a transit station to a stadia rod. If α is the angle which the line of sight makes with the horizontal, ''F'' is the stadia interval factor (often 100), and ''X'' is the distance on the rod between the cross hairs, then ''H''=''FX''cos<sup>2</sup>α=''FX''–''FX''sin<sup>2</sup>α, and ''V''=''FX''(sin2α)/2. | Tables giving values of the quantities (sin2α)/2 and cos<sup>2</sup>α and/or sin<sup>2</sup>α as functions of α. Used in calculating horizontal (''H'') and vertical (''V'') distances from a transit station to a stadia rod. If α is the angle which the line of sight makes with the horizontal, ''F'' is the stadia interval factor (often 100), and ''X'' is the distance on the rod between the cross hairs, then ''H''=''FX''cos<sup>2</sup>α=''FX''–''FX''sin<sup>2</sup>α, and ''V''=''FX''(sin2α)/2. | ||

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## Revision as of 05:26, 29 January 2018

Tables giving values of the quantities (sin2α)/2 and cos^{2}α and/or sin^{2}α as functions of α. Used in calculating horizontal (*H*) and vertical (*V*) distances from a transit station to a stadia rod. If α is the angle which the line of sight makes with the horizontal, *F* is the stadia interval factor (often 100), and *X* is the distance on the rod between the cross hairs, then *H*=*FX*cos^{2}α=*FX*–*FX*sin^{2}α, and *V*=*FX*(sin2α)/2.