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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... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 67
av Euclid - 1810 - 518 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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 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...
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Algebra applied to geometry ... By X. Y. Z.

X. Y. Z. - 1843 - 124 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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 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,...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...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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