...approach and meet : I piy that the ultimate form of theft evanefcent triangles is that of jimtlitude, and their ultimate ratio that of equality. For while the point B approaches towards the point A confider always AB,AD, AR, as produced to> the remote points b,dt and r, and rbd as drawn pa* rallel...

...I say, that the ultimate ratio of the arc, the chord, and the tangent, to each other, is the ratio of equality. For, while the point B approaches towards the point A, let AB and AD be considered as produced to the remote points b and d, and let bd be drawn parallel...

...tangent AD, constitute thrcr triangles, BAB, RAOB, BAD, and the points A and B approach and meet ; prove that the ultimate form of these evanescent triangles...similitude, and their ultimate ratio that of equality. 10. Prove that the radius of curvature of a plane curve is cqnal u> —r- ; f being the radius vector,...

...arc ACB, the chord AB, and the tangent AD, constitute three triangles EAB, EACB, EAD, and the point A and B approach and meet ; I say that the ultimate...similitude, and their ultimate ratio that of equality." Now this lemma is demonstrated, like the last, to establish the conclusion, that " in all our reasonings...

...37 Newton 'Mathematical Principles' bk. I lemma i-ix. Hegel is referring in particular to lemma vii, 'I say, that the ultimate form of these evanescent...similitude, and their ultimate ratio that of equality . . . And hence in all reasonings about ultimate ratios, we may use any one of these triangles for...