The watershed between the Vaal and Caledon is formed by chains of hills, which, leaving the main range of the Drakensberg at Mont aux Sources, sweep in semicircles west and south.
Right angled at C, semicircles are described on the three sides, thus forming two lunes Afcda and Cgbec. The sum of the areas of these lunes equals the area of the triangle ABC.] As for Euclid, it is sufficient to recall the facts that the original author of prop. 8 of book iv.
Cases of circles touching one another and inscribed in the figure made of three semicircles and known as ipl Xos (shoemaker's knife) form the first division of the book.
These intersections determine the centres of the semicircles CC which form the ends of the respective knuckles.
These semicircles and the circles A'A' are joined by tangents and short arcs struck from the centre of the figure.
Straight lines and semicircles were utilized for the non-metallic elements, carbon, nitrogen, phosphorus and sulphur!
But his brilliantly white, strong teeth which showed in two unbroken semicircles when he laughed--as he often did--were all sound and good, there was not a gray hair in his beard or on his head, and his whole body gave an impression of suppleness and especially of firmness and endurance.
They abandoned one another, abandoned all their heavy baggage, their artillery, and half their men, and fled, getting past the Russians by night by making semicircles to the right.
M., and have a great variety of forms: parallel walls, circles, semicircles, a parallelogram, an octagon, &c. About 10 m.