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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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Pure mathematics, Volum 1

Edward Atkins - 1874
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. — Theorem. If any two points be taken in the circumference of a...fall within the circle. Let ABC be a circle, and A and B any two points in the circumference. The straight line drawn from A to B shall fall within the...
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. — Theorem. If any two points be taken in the circumference of a circle, the straight line which joins them shall faU within the circle. Let ABC be a circle, and A and B any two points in the circumference. The straight...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. — Theorem. If any two points be taken in the circumference of a...fall within the circle. Let ABC be a circle, and A and B any two points in the circumference. The straight line drawn from A to B shall fall within the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...angles, the center of the circle is in the line •which bisects the other. PROPOSITION H. THEOREM. If any two points be taken in the circumference of a...which joins them shall fall within the circle. Let ABC\ie a circle, and A, £ any two points in the circumference. Then the straight line drawn from A...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...To find the centre of a given circle. . . . . . . . . . . 132 2. If any two points be taken in ihe circumference of a circle, the straight line which joins them shall fall within the circle. .. .. .. ..97 4. If in a circle two chords cut one another which do not pass through the centre, they...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...be bisected in F, then F is the centre of the, circle. PROPOSITION II. THEOREM. If any two points 6e taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. f! Let, A and B be any two pts. in the Ooe of the © ABC. Then must the...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...greater than the more remote. [The following corollaries should also be learned by the student, j 1 . If any two points be taken in the circumference of a circle, the straight line which joins them lie within the circle. 2. If in a circle two straight lines cut one another, and do not pass through...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...angles, the centre of the circle is in the line which bisects the other. Proposition 2. Theorem.—If any two points be taken in the circumference of a- circle, the straight line which joins them will fall within the circle. Let ABC be the circle, and A, B any two points in the circumference ;...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...circle, the straight line which joins them shattfall within the circle. Let ABC be a circle, and A and B any two points in the circumference : the straight...not, let it fall, if possible, without, as AEB. Find D the centre of the circle ABC; [III. 1. and join DA, DB ; in the arc AB take any point F, join DF,...
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The Cambridge Examiner, Volum 4

1884
...always greater than one more remote ; and the greater is nearer to the centre than the less. 8. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. 9. If two triangles have two sides of the one equal to two sides of the other, but the base of one...
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