2015-03-27
317
Solid geometry; true in an absolute; three dimensions; model of scientific exposition; the Elements; self-consistent non-Euclidean geometries; Euclidean space; comprehensive deductive and logical system; stated in terms of constructions; interior angle.
Дайте английские эквиваленты следующим словам и выражениям.
Считаться истинным, представлять чего-л., метафизический смысл, прямой угол, выводить теорему, радиус, относить к чему-л., планиметрия, формулировка.
Определите, является ли утверждение истинным или ложным
| True | False | |
| 1. Рlane geometry is still taught in schools. | ||
| 2. Euclid gives ten postulates for plane geometry. | ||
| 3. Euclid’s postulates are stated in terms of theorems. | ||
| 4. All theorems are derived from a small number of axioms. | ||
| 5. Any theorem proved from Euclid’s postulates was deemed true in an absolute, often metaphysical, sense. | ||
| 6. Many of Euclid’s results had been stated by earlier mathematicians. | ||
| 7. Euclidean geometry studies plane and solid figures on the basis of axioms and theorems employed by Pythagoras. | ||
| 8. Euclidean geometry doesn’t insist on the importance of proof. | ||
| 9. There is no other sort of geometry except Euclidean. | ||
| 10. Euclid’s statement of the postulates are not taken to be unique. |
