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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 the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...right angles, the centre of the circle, is in the lin$, which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a...line drawn from A to B shall fall within the circle. Take any point in AB as E ; find D the centre of the circle ABC ; join AD, DB and DE,and let DE meet...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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...circumference : the straight line drawn from A to B shall fall-within the circle. Take any point in AB as E ; find D the centre of the circle ABC ; join AD,...

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 σελίδες
...point ot bisection of the first drawn line can be the centre of the circle. PROP. 2, THEOR. „ If any two points be taken in the circumference of a circle, the right line which joins them falls within the circle. For if possible let the right line joining them...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 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...the circumference; the straight line drawn from A to В shall fall within the circle. For, if it do not, let it fall, if possible, without, as ЛЕВ; find,...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...PROPOSITION II. THEOREM. If in tlie circumference of a circle, any two /mints are taken, the right line which joins them shall fall within the circle. Let ABC be a circle ; in its circumference take any two points A, B. The right line AB, which is drawn from A to B, falls...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 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...line drawn from A to B shall fall within the circle. \ NB — Whenever the expresston " stratght ltnes from the centre," or drawn " from the centre" occurs,...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 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...the circumference: the straight line drawn from A to BQ shall fall within the circle. Take any point in AB as E; find D the centre of the circle ABC ; join...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 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...circumference ; the straight line drawn from A to B r* shall fall within the circle. Take any point in AB as E ; find D the centre of the circle ABC; join...

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

Euclid - 1835 - 540 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 points in the...

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

1836 - 488 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...line which joins them shall fall within the circle. III. If a straight line drawn through the center of a circle bisect a straight line in the circle,...




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