Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)
Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 117
mum intercept, and AB another inter-cept infinitely close to it, and let AX, BY, and CD be drawnperpendicular to AB. Draw BE parallel to CA, and let it meetCD and BY produced in E and Z respectively. Then, sinceBY is perpendicular to OB, and infinitely small, it may be con-sidered as an arc of a… … THE PRINCIPLE OF CONTINUITY. 107 7V w , BD DE ZY ,AO OX,. = Zi. We have also, - = = , and - = (smce AX AX and BY are infinitely small), = ^y . We have then finally = -r>f}, from which it appears that AO = BD ; and this is the characteristic property of the line in the required position. It is…
Geometry -- Problems, exercises, etc · Geometry
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
