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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 110
von Euclid - 1765 - 464 Seiten
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 Seiten
...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

Great Britain. Committee on Education - 1855 - 976 Seiten
...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 - 264 Seiten
...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

Cambridge univ, exam. papers - 1856 - 252 Seiten
...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 - 578 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 - 380 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 - 464 Seiten
...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 Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 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 Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 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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