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" From this it is manifest, that if in a circle a straight line bisect another at right angles, the centre of the circle is in the line which bisects the other. "
The definitions, postulates, axioms, and enunciations of the propositions of ... - Page 14
by Euclides - 1848 - 42 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...other point but F is the centre ; that is, F is the centre of the circle ABC. Which was to be found. COR. From this it is manifest that if in a circle...the circle is in the line which bisects the other. c8. d7.Def. I. PROP. H. THEOR. IF any two points be taken in the circumference of a circle, the straight...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...point but F is the centre ; that is, F is the centre of the circle ABC. Which was to be found. Con. From this it is manifest, that if in a circle a straight...the circle is in the line which bisects the other. c8. d 10. def. 1. PROP. II. THEOR. IF any two points be taken in the circumference of a circle, the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...is, F is the centre of the circle ABC : Which was to be found. COR. From this it is manifest, t! jat if in a circle a straight line bisect another at right...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 \vhichjoins them...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...other point but F is the centre ; that is, F is the centre of the circle ABC : Which was to be found. COR. From this it is manifest, that if in a 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...point but F is the centre : that is, F is the centre of the circle ABC : Which was to be found. Con. From this it is manifest that if in a circle a straight...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...other point but F is the centre : that is, F is the centre of the circle ABC : Which was to be found. COR. From this it is manifest that if in a circle...right angles, the centre of the circle, is in the lin$, which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...other point but F is the centre; that is, F is the centre of the circle ABC- Which was to be found COR. From this it is manifest, that if in a circle...is in the line which bisects the other. PROP. II. THEOR. IP any two points be taken in the circumference of a circle, the straight line which joins them...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...the point ot bisection of the first drawn line can be the centre of the circle. PROP. 2, THEOR. „ If any two points be taken in the circumference of a circle, the right line which joins them falls within the circle. For if possible let the right line joining them...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...other point but F is the centre : that is, F is the centre of the circle ABC : Which was to be found. Cor. From this it is manifest, that if in a circle...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...other point but F is the centre; that is, F is the centre of the circle ABC. Which was to be found. COR. From this it is manifest, that if in a 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...
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