The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 349
s called the Centroid of the A ABC, and AD, BE, CFare the Medians. APPENDIX. BOOK I. v 8. The perpendiculars drawn from the vertices of a triangle upon theopposite sides meet in a point. Let ABC be a A, O the point in which meet the perp to the sidesthrough the middle points, G the point in which… … Then UV is parallel to, and one-half of, GO. [Art. 1. Because AD, OD are parallel, both being perp^ to BC, [I. 28. .-. zADO = zUAV. [L 29.Also, since UV, GO are parallel, .. z AUV = z AGO^zOGD. Also, AU = i AG = GD ; [Art. 7. .. the A ^ AUV, DGO are equal in all respects ; [1.4..-. OG-UV = iGO; .-.…
Euclid's Elements · Geometry · Mathematics, Greek
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