| Euclides - 1845
...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 - 1845 - 352 sider
...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
...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,... | |
| John Playfair - 1846 - 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 - 1848
...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... | |
| Euclides, Thomas Tate - 1849 - 108 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...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
...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.)... | |
| Royal Military Academy, Woolwich - 1853
...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...line drawn from A to B shall fall within the circle.** Forifitdo not, let it fall, if possible, without, as AEB: find (1. in.) D the centre of the circle... | |
| Euclides - 1853 - 147 sider
...circumference of a circle, the straigli.t line which joins them sliaufau within the, circle. LET abС **be a circle, and a. b any two points in the circumference...not, let it fall, if possible, without, as aeb , find** (i. 3) d the centre of the circle ab С ; and join ad, db, and produce df, any straight line meeting... | |
| Euclides - 1853
...line produced. PEOP. II. THEOE. If any two points be taken in the circumference of a circle : then **the straight line which joins them shall fall within...circle, and A, B any two points in the circumference.** . Then the straight line AB, which joins them, shall fall within the circle. For if it do not fall... | |
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