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" If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 116
by Euclides - 1821
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles, the centre of the circle is in the straight 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 fall within the circle. Let ABC be a circle, and A and B any two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...right 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 circle, the straight line which joins them shall fall within the circle. AEB For ifAB do not fall within the circle,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...sets of proportional magnitudes, the quotients of the corresponding terms will be proportionals. / 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...sets of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 16. The diameter is the longest straight...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...lie in CE. COR. If CE be bisected in F, then F is the centre of the circle. PROPOSITION II. THEOREM. If any two points be taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. Let A and B be any two pts. in the Oce...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...lie in CE. COK. If CE be bisected in F, then F is the centre of the circle. PROPOSITION II. THEOREM. If any two points be taken in the circumference of a circle, the straight line, which joins them, mwt fall within the circle. Let A and 'B be any two pts. in the Oce...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...another at right angles, the centre of the circle is in the straight line bisecting the other. II.. — If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. to B falls within C the The straight line...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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 fall within the circle. Let ABC be a circle, and A, B, any two...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 fall within the circle. Let ABC be a circle, and A and B any two...
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