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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. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Seite 108
von Euclid - 1765 - 464 Seiten
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 Seiten
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...angles, the center of the circle is in the line which bisects the other. PROPOSITION II. THEOREM. lf 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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...another at right angles, the centre of the circle is in the line which bisects the other. Prop. 2. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Prop. 3. If a straight line, drawn througii...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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 - 410 Seiten
...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 - 1868 - 338 Seiten
...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 Seiten
...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 the first two (third and fourth ..., Teil 2

Euclides - 1872
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 Seiten
...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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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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