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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 54
av Euclid, Robert Simson - 1838 - 416 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 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 circle, the straight line which joins them shall Jail within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the straight...
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 136 sider
...Theor. attached to 1.29. (0) Preceding leuww, PROPOSITION II. THEOBEM. — If any two points (A and B) be taken in the circumference of a circle, the straight line which joins them falls within the circle. DEMONSTRATION. For, if it be possible, let the straight line AEB have a point...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...this account, self-evident indemonstrable truths. Proposition II. of Book III. — namely, that " If any two points be taken in the circumference of a...line which joins them shall fall within the circle" — is a proposition as self-evident, to any one who has a clear conception of a circle, as that which...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 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...circle, and A, B any two points in the circumference ; he straight line drawn from A to B shall fall within the circle. Take any point in AB as E ; find...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...section. 3. To describe a square that shall be equal to a given rectilineal figure. Section 3. 1. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. 2. The diameter is the greatest straight line in a circle ; and of all others that which is nearer...
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National Society's Monthly Paper

1855
...section. 3. To describe a square that shall be equal to a given rectilineal figure. SECT. III. — 1. If any two points be taken in the circumference of a circle, the straight line which joins them shall fail within the circle. 3. If from any point without a circle two straight lines be drawn, one of which...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...pass through any three points which aiv not in the same straight line. PROP. II. THEOREM. if any uoo points be taken in the circumference of a circle, the straight line which joins them lies within the circle, Let ABС be a circle, and A and B, any two points in the circumference. The...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 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 circle, the straight ling which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...line which is made up of the half and the part produced. Prove this proposition algebraically. 6. If any two points be taken in the circumference of a circle, the right line which joins them shall fall within the circle. Shew that if in a circle a straight line...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...makes only 81. 2s. on the whole. Find the number of gallons, and the price per gallon. Euclid. 1. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. 2. If two straight lines cut one another within a circle the rectangle contained by the segments of...
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