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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 Robert Simson - 1838 - 416 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...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, and A, B any two points in the circumference. Then the straight line drawn from A to B shall fall within the circle. For if AB do not fall within...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...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 - 426 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 - 424 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 - 434 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 - 340 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 - 516 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 - 102 sider
...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 - 376 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 - 588 sider
...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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