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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. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 118
by Euclides - 1833
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...another at 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 shall fall within the circle. Let ABC be a circle, and A, B any two...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...at right 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 within the circle. PROP. III. THEOREM. If a straight line...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...another at 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 shall fall within the circle. Let ABC be a circle, and A, B any two...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...another at right angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOR. If 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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...right 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 within the circle. Let ABC be a circle, and A, B, any two...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...and be produced, the centre of the circle shall be in this straight line produced. PEOP. II. THEOE. If any two points be taken in the circumference of a circle : then the straight line which joins them shall fall within the circle. Let ABC be a circle, and A,...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...L. Relative to Circles generally. III. 2 III. 1, theor. . III. Lemma. III. 29, schol. . HYPOTHESES. If any two points be taken in the circumference of a circle. If three points are not in the same straight line. If a straight line bisects the chord of a circle...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...on 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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National Society's Monthly Paper

1855 - 264 pages
...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...of 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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