The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 69
ine and the circumference from the ex-tremity, so as not to cut the circle; or which is thesame thing, no straight line can make so great anacute angle with the diameter at its extremity, or sosmall an angle with the straight line which is at rightangles to it as not to cut the circle.^ Let ABC be… … For, if it does not, let it fall, if pos-sible, within the circle, as AC, anddraw DC to the point C where it meetsthe circunnference ; and because DAis equal to DC, the angle DAC isequal (5. 1.) to the angle ACD ; but BDAC is a right angle, therefore ACD -is a right angle, and the angles DAC,ACD…
Mathematics, Greek · Geometry · Trigonometry
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