 | John Playfair - Euclid's Elements - 1842 - 332 pages
...moreover, in the production of KB, is farther from the centre than the circumference. PROP. III. THEOR. // a straight line drawn through the centre of a circle bisect a straight line in the circle, which does not pass through the centre, it will cut that line at right angles ; and if... | |
 | Euclides - 1842 - 316 pages
...the circle, and join E, F ; and because FE, a straight line through the centre, bisects another, AC which does not pass through the centre, it shall cut it at right angles (3. 3.) ; wherefore FEA is a right angle. Again, because the straight line FE bisects the straight... | |
 | X. Y. Z. - Equations - 1843 - 124 pages
...d2 + c", r2 = d2 + cf ; or the chord is bisected by the perpendicular upon it from the centre. 3*. If a straight line, drawn through the centre of a...through the centre, it shall cut it at right angles. (Euclid 3, 3.) Let (z,, yj (z2, y2) be the extremities of the chord, (X, F) the middle point c, the... | |
 | Euclides - 1845 - 546 pages
...circumference ; therefore it falls within it. Wherefore, if any two points, &c. QED PROPOSITION III. THEOREM. If a straight line drawn through the centre of a circle bisect a straight line in which it does not pass through the centre, it shall cut it at right angles: and conversely, if it cuts... | |
 | Euclid - Geometry - 1845 - 218 pages
...of the circle, and join EF : and because FE, a straight line through the centre, bisects another AC which does not pass through the centre, it shall cut it at rightf t a. 3. angles ; wherefore FEA is a right angle : Again, because the straight line FE bisects... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...line bisect another one at rt. /_s, the Cr. of 0 is in the bisecting line. PROP. L. THEOR. 3. 3 Ell. If a straight line drawn through the centre of a circle,...through the centre, it shall cut it at right angles: and if it cut it at right angles, it shall bisect it. Let ABC be a 0, and let CD passingthrough the Cr.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...line bisect another one at rt. Z s, the Cr. of 0 is in the bisecting line. PROP. L. THEOR. 3. 3 Eii. If a straight line drawn through the centre of a circle,...through the centre, it shall cut it at right angles: and if it cut it at right angles, it shall bisect it. Let ABC be a 0, and let CD passing through the Cr.... | |
 | Euclides - 1846 - 292 pages
...circumference ; therefore it falls within it. Wherefore, If any two points ttc. QED PROP. III. THEOR. If a straight line drawn through the centre of a circle...the centre, it shall cut it at right angles ; and, if it cuts it at right angles, it shall bisect it. Let ABC be a circle, and let CD, a straight line... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...moreover, in the production o/-AB, is farther from the centre than the circumference. PROP. III. THEOR. If a straight line drawn through the centre of a circle bisect a straight line in the circle, which does not pass through the centre, it will cut that line at right angles ; and if... | |
 | Euclides - 1848 - 52 pages
...circumference of a circle, the straight line which joins them shall fall within the circle. PROP. III. THEOREM. If a straight line drawn through the centre of a circle,...shall cut it at right angles : and conversely, if it cut it at right angles, it shall bisect it. PROP. IV. THEOREM. If in a circle two straight lines cut... | |
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If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it. 
