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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 - Seite 108
von Euclid - 1765 - 464 Seiten
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## Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...this account, self-evident indemonstrable truths. Proposition II. of Book III. — namely, that " If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle" — is a proposition as self-evident,...
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## Minutes of the Committee of Council on Education

...section. 3. To describe a square that shall be equal to a given rectilineal figure. Section 3. 1. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. 2. The diameter is the greatest straight...
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## National Society's Monthly Paper

1855
...section. 3. To describe a square that shall be equal to a given rectilineal figure. SECT. III. — 1. If any two points be taken in the circumference of a circle, the straight line which joins them shall fail within the circle. 3. If from any point without a circle...
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## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...line which is made up of the half and the part produced. Prove this proposition algebraically. 6. If any two points be taken in the circumference of a circle, the right line which joins them shall fall within the circle. Shew that if in a circle a straight line bisects another at right angles...
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 Seiten
...makes only 81. 2s. on the whole. Find the number of gallons, and the price per gallon. Euclid. 1. If any two points be taken in the circumference of a circle the straight line which joins them shall fall within the circle. 2. If two straight lines cut one another...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...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 joins them shall fall within the circle. Let A BC be a circle, and A, B any two...
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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 circle, the straight line which joins them shall fall within the circle. CON. 1, Ш. Pst. l & 2. DEM. Def. 15,...
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## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 628 Seiten
...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...
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## Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 520 Seiten
...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...
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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...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 circle, the straight line which joins them shall fall within the circle. (References— Prop. I. 5, 16, 19; III....
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