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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 - Σελίδα 110
των Euclid - 1765 - 464 σελίδες
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. 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...

The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 σελίδες
...cannot meet a circle in more than two points. PROPOSITION II. THEOREM. (331) If any two points (A and B) be taken in the circumference of a circle, the right line which joins them falls within the circle. For, if it be possible, let AEB be a right line in which the point E is without...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 σελίδες
...centre of the circle is in the line which bisects the other. c8. I. dlO.Def.l. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line ivhich joins them must fall within the circle. Let ABC be a circle, and A, B any two...

Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 σελίδες
...proportional. 24. Through a given point draw a straight line parallel to 1834 a given straight line. 25. If any two points be taken in the circumference of a circle, the straight line which joins them falls within the circle. 26. Triangles and parallelograms of the same...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...segments of a circle are those in which the angles are equal, or which contain equal angles. PROP. II. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. III. If a straight line drawn through...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. 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...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...to be false, 4. that F is the centre of the Q. D PROPOSITION II. (Argument ad absurdum). Theorem. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Steps of the Demonstration, Suppose that...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...be bisected by u perpendicular, that perpendicular will pass through the centre. PROP. II. THEOR. 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...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 σελίδες
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. 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...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. IF any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. liet ABC be a circle, and A, в any two...




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