| John Playfair - 1837 - 318 sider
...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...line drawn from A to B shall fall within the circle.** Take any point in AB as E ; find D (1. 3.) the centre of the circle ABC; join AD, DB and DE, and let... | |
| Euclides - 1837 - 88 sider
...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...line which joins them shall fall within the circle.** Steps of the Demonstration, Suppose that AB falls without the Q, and prove, on that supposition, 1.... | |
| Euclid, James Thomson - 1837 - 390 sider
...PROP. II. THEOR. THE straight line which joins any two points in the circumference of a circle, falls **within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the** chord drawn from A to B falls within the circle. Take any point in AB as E; find (III. I.) D the centre... | |
| Euclides - 1838
...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. For if it do not, let it fall, if possible,** tl 3 without, as AEB; find* D the centre of the circle ABC ; and draw DA, DB. In the arc AB take any... | |
| Euclid - 1838 - 416 sider
...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...circumference ; the straight line drawn from A to** C B shall fall within the circle. For, if it do not, let it fall, if possible, without, as AEB; find... | |
| Euclides - 1841 - 351 sider
...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...within the circle. For, if it do not, let it fall, if** pos* 1. 3. sible, without, as AEB; find* D the centre of the circle ABC, and join DA, DB. In the circumference... | |
| John Playfair - 1842 - 317 sider
...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...line drawn from A to B shall fall within the circle.** Take any point in AB as E ; find D (1. 3.) the centre of the circle ABC ; join AD, DB and DE, and let... | |
| Euclides - 1842
...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...line which joins them shall fall within the circle.** liet ABC be a circle, and A, в any two points in the circumference: the straight line drawn from A... | |
| X. Y. Z. - 1843 - 96 sider
...therefore a line drawn from the centre to the middle point of a chord is perpendicular to the chord. 4*. If **any two points be taken in the circumference of a circle, the straight line** that joins them shall fall within the circle. (Euclid 3, 2.) Let the axis of x be chosen perpendicular... | |
| Euclid - 1845 - 199 sider
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOR. — If **any two points be taken in the circumference of a...let it fall, if possible, without, as AEB : find*** D the centre of the circle ABC ; and join AD, DB, and produce DF, any straight line meeting the circumference... | |
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