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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...angles, the center 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...which joins them shall fall within the circle. Let A BC be a circle, and A, B any two points in the circumference. Then the straight line drawn from A...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...within the circle. Given a circle ABC, and A, B any two points in the circumference ; to prove that the straight line drawn from A to B shall fall within the circle. (Const.) Take any point in AB as E; find D the centre of the circle ABC ; join AD, DB, and DE, and...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...possessing the circular form will have its centre found in the saтe way. PROP. 2. — ТНEOK. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. CON. 1, Ш. Pst. l & 2. DEM. Def. 15, I. 5, I. The angles at the base of an isose. д are equal to...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION 2.— THEOREM. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. (References— Prop. I. 5, 16, 19; III. 1.) Hypothesis. — Let ABC be a circle, and A and B any two...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...angles, the centre of the circle is in the line which bisects the other. * PROP. II.— THEOREM. If any two points be taken in the circumference of a...circle, the straight line which joins them shall fall toithin the circle. (References— Prop. i. 5, 16, 19 ; in. 1.) Let ABC be a circle, and A, B, any...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 sider
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight line that...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 490 sider
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight line that...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 sider
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight line that...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...circle is in the line which bisects the other. PROPOSITION II. THEOREM. If any two points be tahen in the circumference of a circle, the straight line...which joins them shall fall within the circle. Let AB C be a circle, and A, B any two points in the circumference. Then the straight line drawn from A...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...angles, the center 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 joint them shall fall within the circle, Let ABCbe a circle, and A, B any two points in the circumference....
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