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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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...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...line which joins them shall fall within the circle. Prop. 3. If a straight line, drawn througii the centre of a circle, bisect a straight line in it which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...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...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...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...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 - 1868 - 410 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...line which joins them shall fall within the circle. AEB For ifAB do not fall within the circle, let it fall, if possible, without the circle as AEB; find...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 sider
...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 line that...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 382 sider
...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 line that...
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Elements of geometry, containing the first two (third and fourth ..., Del 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 of the © ABC. Then must the st....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...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 of the 0 ABC. Then must the st....
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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...line which joins them shall fall within the circle. to B falls within C the The straight line from A circle ABC. If not, let it fall, if possible, without,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 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, and A, B, any two points in the circumference. Then the straight line drawn from A to B shall fall mthin the circle. IT Construction. For if AB do...
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