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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 Euclid, Robert Simson - 1838 - 416 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...diameter AB; the straight line drawn at right angles to AB from its extremity A, shall fall without the circle. For, if it do not, let it fall, if possible, within the circle, as AC, and draw DC to the point C where it meets the circumference: and because...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...contain equal angles. Prop. I. Prob. To find the centre of a given circle. Prop. II. Theor. If any tiro points be taken in the circumference of a circle,...line which joins them shall fall within the circle. Prop. III. Theor. If a straight Hue drawn through the еешге of a circle bisect a straight line...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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 \vhichjoins them shall fall within the circle. Let ABC be a circle, and A, B any two points in the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...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 Bshallfallivithin the circle. For, if it do not let it fall, if possible, without, as AEB: find" D...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. IP any two points be taken in the circumference of a circle, the straight line which joins them shall tall within the circle. Let ABC be a circle, and A, B any two points in the circumference; the straight...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...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...
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