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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: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 67
των Euclid - 1810 - 518 σελίδες
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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....

Elements of geometry, containing the first two (third and fourth ..., Μέρος 2

Euclides - 1872 - 102 σελίδες
...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....

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...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,...

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

Euclides - 1874 - 342 σελίδες
...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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...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...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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...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 points in the circumference. The straight...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...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...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...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...which joins them shall fall within the circle. Let ABC\ie a circle, and A, £ any two points in the circumference. Then the straight line drawn from A...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...To find the centre of a given circle. . . . . . . . . . . 132 2. If any two points be taken in ihe circumference of a circle, the straight line which joins them shall fall within the circle. .. .. .. ..97 4. If in a circle two chords cut one another which do not pass through the centre, they...

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

Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...be bisected in F, then F is the centre of the, circle. PROPOSITION II. THEOREM. If any two points 6e taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. f! Let, A and B be any two pts. in the Ooe of the © ABC. Then must the...




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