 | Euclid - Geometry - 1810 - 554 pages
...centre of the circle is in the line which bisects the other. c8. d 10. del. 1. PROP. II. THEOR. JF 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 - 1816 - 588 pages
...another at 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...another at right angles, the centre of the circle, is in the lin$, 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...right 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...another at 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...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 the circle, and draw DA, DE,... | |
 | Euclid - 1835 - 540 pages
...angles, the 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 - 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... | |
 | 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...supposition 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... | |
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If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. 
