 | 1848 - 486 pages
...magnitude is some assignable distance. It can therefore become the radius of a circle. But* " if a point be taken in the diameter of a circle which is...that in which the centre is, and the other part of the diameter is the least" That is, a point being taken in the radius which is neither at the centre... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...wherefore F is not the centre of the circles ABC, CDE. Therefore if two circles, &c. QED PROP. VII. THEOR. If any point be taken in the diameter of a circle...other part of that diameter is the least; and, of any others, that which is nearer to the line which passes through the centre is always greater than... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...greater, which is impossible ; Wherefore F is not the centre of the circles ABC, CDE. PROP. VII. THEOR. If any point be taken in the diameter of a circle...circumference, the greatest is that in which the centre is, ana the other part of that diameter is the least ; and, of any others, that which is nearer to the... | |
 | Euclides - Geometry - 1853 - 176 pages
...cd 6. Therefore, if two circles, &c. QED PROPOSITION VII. — THEOREM; If any point be taken in tlie diameter of a circle which is not the centre, of all...to the circumference, the greatest is that in which tlie centre is, and the other pw.t of that diameter is the least; and of any others , that whidi is... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...not t!;e centre of the circles ABC, CDE. Therefore, if two circles, etc. QED PROPOSITION VII. TIIEOR. If any point be taken in the diameter of a circle,...is not the centre, of all the straight lines which cun be drawn from it to the circumference, the greatest is that in which the centre is, and the other... | |
 | Euclides - 1853 - 146 pages
...not the centre of the circles ABC, CDE. Therefore, if two circles, &c. QED PROP. VII. — THEOREM. If any point be taken in the diameter of a circle, which is not the centre, of all the straight Hues which can be drawn from it to the circumference, the greatest is that in which the centre is,... | |
 | Euclides - Geometry - 1853 - 334 pages
...as follows : — BK. III. PEOP. A. THEOE. If any point be taken without a straight line : then (1) of all the straight lines which can be drawn from it to the straight line, the greatest shall be that which is perpendicular to the straight line ; and of the... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...not the centre, te taken in the diameter (AD) of a circle (ABCD), then of all lines (FA, FB, FC, &c.) which can be drawn from it to the circumference, the greatest is that (FA) which passes through the centre (E), and (FD), the other part of the diameter, is the least. And... | |
 | John Playfair - Geometry - 1855 - 334 pages
...is impossible ; Wherefore F is not the centre of the circles ABC, PROP. VII. THEOH £ jy »«y pomt be taken in the diameter of a circle which is not the centre, of aX the straight hnes which can be drawn from it to the circumference, thegreat•st is that in which... | |
 | Euclides - 1856 - 168 pages
...circle lies in the perpendicular to the touching line at the point of contact. XXX.— EUCLID III. 7. If any point be taken in the diameter of a circle which is not the centre, of all the straight lines that can be drawn from it to the circumference the greatest is that in which the centre is, and the... | |
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If any point be taken in the diameter of a circle which is not the centre, of all the straight lines which can be drawn from it to the circumference, the greatest is that in which the centre is, and the other part of that diameter is the least... 
