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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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Pure mathematics, Band 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 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. Let ABC\ie a circle, and A, £ any two...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...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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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...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879
...Third Book of Euclid and have relation to differentials as regards circles. 28. If any two points lie taken in the circumference of a circle, the right line which joins them will fall within the circle. (Euclid, 3, 2). In Fig. D 1 8, let there be two points a and b in the circumference of the circle abe...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 Seiten
...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...
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The Cambridge Examiner, Band 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 circle, the straight line which joins them shall fall within the circle. 9. If two triangles have two sides of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 Seiten
...centre ; that is, F is the centre of the circle ABC: which was to be found. 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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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 Seiten
...**. 9. Hence give another method of finding the centre of a given circle. 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, A and B any two...
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