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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 28

An illustration from Elements of geometry and trigonometry, 1835, leaf 28
which are parallel to a third line, are parallel to each other. Let CD and AB be parallel to the third line EF ; then arcthey parallel to each other. Draw PQR perpendicular to EF, and cutting AB, CD. Since AB is parallel to EF, PR will be perpendicular to AB (Prop.E XX, Cor. 1.) ; and since CD is… … Two parallels are every where equally distant. Two parallels AB, CD, being ç hgiven, if through two points Eand F, assumed at pleasure, thestraight lines EG, FH, be drawnperpendicular to AB,these straight ^lines will at the same time beperpendicular to CD (Prop. XX. Cor. 1.) : and we are now toshow…

Trigonometry · Geometry

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