 | John Playfair - Geometry - 1836 - 148 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. IV. THEOR. If two points be taken in the circumference of a circle, the straight line which joins them shall fall wholly within the circle. Let ABC be a circle, A and B any points in the circumference ; the straight... | |
 | John Playfair - Euclid's Elements - 1836 - 488 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 xoiUfall within the circle. Book III. Let ABC be a circle, and A, B any two points in the v— •V"''... | |
 | 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 altitude are to one another as... | |
 | 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...line drawn from A to B shall fall within the circle. Take any point in AB as E ; find D the centre of the circle ABC ; join AD, DB, and DE, and let DE meet... | |
 | John Playfair - Euclid's Elements - 1837 - 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 - 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...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 - Geometry - 1837 - 410 pages
...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. Ir any two points be taken in the circumference of a...not, let it fall, if possible, without, as AEB; find (1. 3.) D the centre of the circle ABC, and join AD, DB, and produce DF, any straight line meeting... | |
 | 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. 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... | |
 | 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...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... | |
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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... 
