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

John Playfair - 1832 - 333 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 BQ shall fall within the circle. Take any point in AB as E; find D the centre of the circle ABC ; join...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 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 r* shall fall within the circle. Take any point in AB as E ; find D the centre of the circle ABC; join...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...Iwo points IK taken in the circumference of a circle, the straight line whivh joins them shall Jail within the circle, Let ABC be a circle, and A, B any...not, let it fall, if possible, without, as AEB : find * D the centre of the circle /^ "\ * 1• 3. ABC, and join DA, DB ; in the circumference AB take any...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 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 circle, the straight line which joins them must fall within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...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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The Element of Geometry

John Playfair - 1836 - 114 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. IV. THEOR. If two points be taken in the circumference of a circle, the straight line which joins them shall fall wholly within the circle. Let ABC be a circle, A and B any points in the circumference ; the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 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 circle, the straight line -which joins them xoiUfall within the circle. Book III. Let ABC be a circle, and A, B any two points in the v— •V"''...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 sider
...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 altitude are to one another as...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 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...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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