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 30
same side of it, there cannot be twotriangles having their sides which are terminated at one extremityof the base eqiml to one another, and likewise those which areterminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the sameside of it, let there be… … Construction. Join CD. Proof. Case I. Let the vertex of each triangle be withoutthe other triangle. Because AC is equal to AD, [Hypothesis. the angle ACD is equal to the angle ADC. [I. 5. But the angle ACD is greater than the angle BCD, [Ax/S. therefore the angle ADC is also greater than the angle…
Euclid's Elements · Geometry · Mathematics, Greek
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
