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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 ... - Σελίδα 14
των Euclides - 1848 - 42 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...at right angles, the center of the circle is in the line which bifects the other. PRO P. II. THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let ABC be a circle, and A, B any two...

Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 σελίδες
...it fall in the circumference. Confequently it muft neceflarily fall within the circle. If therefore any two points be taken in the circumference of a circle, the right line which joins them will fall within the circle. Which was ta be demonftrated.. * This theorem...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...at right angles, the center of the circle is in the line which bifects the other. PROP. H. THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them mall fall within the circle. Let ABC be a circle, and A, B any two points...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
..... Which was to be found. CoR. From this it is manifeft, that if in a circle a ftraight Vme bife£k another at right angles, the centre of the circle is in the line which bife&s the other. PROP* II. T II EO R. IF any two points be taken in the circumference of a circle,...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 σελίδες
...drawn through that point, perpendicular to the chord, •will pafs through the centre of the circle. PROP. II. THEOREM. If any two points be taken in the circumference of a circle, the chord, or right line which joins them, will fall wholly within the circle. Let ABE be a circle, and...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...right angles, the centre of the circle is m the line which bifefts the other. I PRO P. II. THEO R. . F any two points be taken in the circumference of a circle, the ftraight line which joins them 1 1 ^Vwi 1---.-.!4-1"^."«i-.n^. ]^^1A ..*' * • • ftiall fall within...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...: Which was to be found. COR. From this it is manifeft, that if in a circle a ftraight line bifeft another at right angles, the centre of the circle is in the line which bife£ls the other. PROP. II. THEOR. IF any two points be taken in the circumference of See N. a circle,...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 470 σελίδες
...drawn through that point, perpendicular to the chord, pafs through the centre of the circle. PROP.' IL_ 'THEOREM. If any two points be taken in the circumference of a circle, the -chord, or right line which joins them, will fall wholly within the. circle. Let ABE be a circle, and...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 σελίδες
...: Which was to be found. CoR. From this it is manifeft that if in a circle a ftraight line bifecl: another at right angles, the centre of the circle is in the line which bifefts the other. c 8. i. <J 7. def. 2. PRO P. II. THEO R. IF any two points be taken in the circumference...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...right angles, the center of the circle is in the line which bifects the other. PROP. II. f THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let ABC be a circle, and A, B any two...




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