The Eudemian Summary ascribes to Thales the invention of the theorems on the equality of vertical angles, the equality of the angles at the base of an isosceles triangle, the bisection of a circle by any diameter, and the congruence of two triangles having a side and the two adjacent angles equal respectively. The last theorem he applied to the measurement of the distances of ships from the shore. Thus Thales was the first to apply theoretical geometry to practical uses.
Elisabeth, again, while she praises her, is so far from hiding the Divine glory, that she ascribes everything to God. And yet, though she acknowledges the superiority of Mary to herself and to others, she does not envy her the higher distinction, but modestly declares that she had obtained more than she deserved.john calvin
One of the best things in the gospel of Jesus is the stress it lays on small things. It ascribes more value to quality than to quantity; it teaches that God does not ask how much we do, but how we do it.james freeman clarke
Raymond Aron ascribes to Weber the view that ‘each man’s conscience is irrefutable.’ ... while [Weber] holds that an agent may be more or less rational in acting consistently with his values, the choice of any one particular evaluative stance or commitment can be no more rational than any other. All faiths and all evaluations are equally non-rational...alasdair macintyre
Besides the Conic Sections , Pappus ascribes to Apollonius the following works: On Contacts , Plane Loci , Inclinations , Section of an Area , Determinate Section , and gives lemmas from which attempts have been made to restore the lost originals. Two books on De Sectione Rationis have been found in the Arabic. The book on Contacts as restored by Vieta, contains the so-called "Apollonian Problem:" Given three circles, to find a fourth which shall touch the three.
About the time of Anaxagoras, but isolated from the Ionic school, flourished Œnopides of Chios. Proclus ascribes to him the solution of the following problems: From a point without, to draw a perpendicular to a given line, and to draw an angle on a line equal to a given angle. That a man could gain a reputation by solving problems so elementary as these, indicates that geometry was still in its infancy, and that the Greeks had not yet gotten far beyond the Egyptian constructions.