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A treatise on surveying and navigation: uniting the theoretical, practical, and educational features of these subjects (1857)

Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst; Toledo, Anderson, Burr, & co. · leaf 51

An illustration from A treatise on surveying and navigation: uniting the theoretical, practical, and educational features of these subjects, 1857, leaf 51
FIG, is a right angle ; so is HIN; and, from thesetwo equals take away the common angle IIIL, leaving the angleFIIT= GIN. The angles at If and N, are right angles ; therefore,the A FHI, is equiangular, and similar to the A GIN, and, ofcourse, to the A GD 0; and the side HI, is homologous to IN,and… … PLANE TRIGONOMETRY. 49 ►™ ^ . ■, -nrT- -i-rrr cos.a sin.6That is, B : cos.a=sin.5 : FH, or .##= —-^ Also, GD\GO=GI\GN m -^ , ^v,-r ^v,t cos.a cos.5 That is, i2: cos.a=cos.& : #iv, or GN— B si Also, GD:DO=FI:IJI mi ~ . . , ,.„ xrr sin .a sin.6 That is, is : sm.a=sm.6 : 1H, or .///= M By adding…

Surveying · Navigation

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