 | John Playfair - Euclid's Elements - 1842 - 332 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...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 - 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...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. - Equations - 1843 - 124 pages
...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... | |
 | Euclides - 1845 - 546 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...line drawn from A to B shall fall within the circle. c For if AB do not fall within the circle, let it fall, if possible, without, as AEB ; find D the centre... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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. 1) 11 the centre... | |
 | Euclides - 1846 - 292 pages
...right angles, the centre of the circle is in the line which bisects the other. PHOP. II. THEOR. If any two points be taken in the circumference of a...drawn from A to B shall fall within the circle. For if not, let it fall, if possible, without, as AEB : find D the centre of the circle ABC ; and join DA,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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...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 - 1848 - 52 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOREM. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. PROP. III. THEOREM. If a straight line drawn through the centre of a circle, bisect a straight line... | |
 | Euclid, Thomas Tate - 1849 - 120 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...not, let it fall, if possible, without, as AEB ; find (in. 1.) D, the centre of the circle ABC, and join AD, DB; in the circumference AB take any point F,... | |
 | Euclides - 1853 - 146 pages
...angles, the centre of the circle is in the line which bisects the other. PROP. II. — THEOREM. If any two points be taken in the circumference of a...line drawn from A to B shall fall within the circle. EB For if AB do not fall within the circle, let it fall, if possible, without, as AEB; find (HI. 1.)... | |
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Ir 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 points in the circumference ; the straight line drawn from A to B shall fall within the... 
