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 298
286 EUCLIDS ELEMENTS. 31. The projection of a lineon a plane is the line joiningthe feet of the perpendicularslet fall from the points in thatline upon the plane. Thus ahcis the projection of ABC uponthe plane MN. … Proposition 1 Theorem. One part of a straight line cannot he in a plane, and another partwithout it. If it be possible, let AB, part of the straight line ABO, bein a plane, and the part BO without it. \a b d\ Construction. Since the straight line AB is in the plane,it can be produced in that plane;…
Euclid's Elements · Geometry · Mathematics, Greek
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