| Robert Simson - Trigonometry - 1827 - 546 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...cannot meet a circle in more than two points. PROPOSITION II. THEOREM. (331) If any two points (A and B) be taken in the circumference of a circle, the right line which joins them falls within the circle. For, if it be possible, let AEB be a right line in which the point E is without... | |
| Euclid - 1835 - 540 pages
...centre of the circle is in the line which bisects the other. c8. I. dlO.Def.l. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line ivhich joins them must fall within the circle. Let ABC be a circle, and A, B any two... | |
| Mathematics - 1836 - 366 pages
...proportional. 24. Through a given point draw a straight line parallel to 1834 a given straight line. 25. If any two points be taken in the circumference of a circle, the straight line which joins them falls within the circle. 26. Triangles and parallelograms of the same... | |
| Mathematics - 1836 - 488 pages
...segments of a circle are those in which the angles are equal, or which contain equal angles. PROP. II. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. III. If a straight line drawn through... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B, any two... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...to be false, 4. that F is the centre of the Q. D PROPOSITION II. (Argument ad absurdum). Theorem. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Steps of the Demonstration, Suppose that... | |
| Euclides - 1838 - 264 pages
...be bisected by u perpendicular, that perpendicular will pass through the centre. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two... | |
| Euclides - Geometry - 1841 - 378 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two... | |
| Euclides - 1842 - 316 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. IF any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. liet ABC be a circle, and A, в any two... | |
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