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" If from a point within a circle more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Página 124
por Euclides - 1833
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volumen2

William Emerson - 1763 - 266 páginas
...hi ammeter HF. For no two-lines on the fame fide can be equal. • Cor. 2. If from any paint, three equal right lines can be drawn to the circumference ; that point is the tenter, C. Cor. 3. No circle can cut another in more than two points. E г For FIG. For then three...
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The First Six Books with Notes

Euclid - 1822 - 222 páginas
...lines can be drawn to the circumference of a circle. PROP. IX. THEOR. If a point be taken within d circle, from which more than two equal right lines...if it were a point different from the centre, only (i) Prap.i. two equal right lines could be drawn from it to the £- 3circumference(l). PROP. X. THEOR....
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 páginas
...diameter, and therefore unequal, by parts 2 and 4. PROP. IX. 1HEOR. If from any point within a circle, more than two equal right lines can be drawn to the...point is the centre of the circle. For if it were not the centre, only two equal right lines could be drawn from it to the circumference (7. 3), which...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 páginas
...therefore unequal, by parts 2 and 4. • PROP. IX. THEOR. If from any point •within a circle, more titan two equal right lines can be drawn to the circumference,...point is the centre of the circle. For if it were not the centre, only two equal right lines could be drawn from it to the circumference (7. 3), which...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 páginas
...from the same point, but greater than the external part of the secant. PROPOSITION IX. THEOREM. (338) If a point be taken within a circle, from which more...different from the centre, only two equal right lines can be drawn from it to the circumference (VIII). Thus the criterion for the determination of the centre...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 páginas
...centre, from which three equal right lines can be drawn to the circumference of a circle. PROP. IX. THEOR. If a point be taken within a circle, from which...lines could be drawn from it to the circumference (1). (1) Prop. 7PROP. X. THEOR. One circle (BDF) cannot cut another (BLF) in more Fig. 14, 15, than...
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Mathematics for Practical Men: A Book of Principles, Theorems, Rules and ...

Olinthus Gregory - 1833 - 448 páginas
[ Lo sentimos, el contenido de esta página está restringido. ]
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...is the greatest. PROP. IX. THEOREM. If from a, point within a circle, more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. Let D be a point within the circle ABС, from which the equal straight lines DA, DB, and DС are drawn...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 páginas
...that are nearer the centre are greater than those that are farther off. 4. If from any point three equal right lines can be drawn to the circumference ; that point is the centre. 5. No circle can cut another in more than two points 6. There can only two equal lines be drawn from...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 páginas
...centre, they do not bisect each other.' 3. If from a point within d circle, more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. 4. If two circles intersect one another, the circumference of the one can not cut that of the other...
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