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" If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 132
by Euclides - 1872
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...PROP. IX. PROS. IF a point be taken within a circle, from which there fall more than two equil ftraight lines to the circumference, that point is the centre of the circle. • i • i , Let the point D be taken- within the circle ABC, from which to the circumference there...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...IX. THEOR. IF a point be tuken within a circle, from which there fall mote than two equal ftraight lines to the circumference, that point is the centre of the circle. Let the point D be taken within the circle ABC, from •which to the circumference there fall more than...
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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, &e* QED a 4. Ax. PROP. IX. PROB. a7.3. IF a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken within the circle ABC, from which to the circumference there fall more than two...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...side of the least. Prop. IX. Prob. If a point be taken within a circle, from which there fall moie than two equal straight lines to the circumference, that point is the centre of the circle. Prop. X. Theor. On« circumference of a circle cannot cut another in more than two points. Prop. XI....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...any point, &c. Q. E* D. PROP. IX. THEOR. IF a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Le* the point D be taken within the circle ABC, from which to the circumference there fall more than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...&c. QED K PROP. IX. THEOR. IF a point be taken within a circle, from which there fall more than tieo equal straight lines to the circumference, that point is the centre of the circle. , Let the point D be taken within the circle ABC, from which to the circumference there fall more than two...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...Proposition IX. Theorem. If a point be taken within a circle, from which there fall more than two equ-il straight lines to the circumference, that point is the centre of the circle. Let the point D be taken within the circle ЛВС, from which to the circumference there fall more than...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...any point, &c. QED • PROP. IX. THEOR. If a point be taken within a circle, from -which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken within the circle ABC, from which to the circumference there fall more than two...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...be impossible. PROPOSITION IX. PROBLEM. If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let the point D be taken within the circle ABC, from •which to the circumference there fall more than...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 246 pages
...discovered by the pupils. SUBSTANCE OF SECTION II. 1. If, from a point in a circle, there can be drawn more than two equal straight lines to the circumference, that point is the centre of the circle. 2. Of all straight lines that can be drawn from a point in a circle to the circumference, the greatest...
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