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 Βιβλία Βιβλία 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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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... ## 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...