| Robert Simson - Trigonometry - 1806 - 546 pages
...DF touches the circle d. PROP. XVIII. THEOR. IF a straight line touches a circle, the straight line drawn from the centre to the point of contact shall...be perpendicular to the line touching the circle. Let the straight line DE touch the circle ABC in the point C ; take the centre F, and draw the straight... | |
| John Mason Good - 1813 - 714 pages
...shall touch a given circle. Prop. XVIII. Theor. If a btfaight line touches a circle, the straight line drawn from the centre to the point of contact, shall...be perpendicular to the line touching the circle. Prop. XIX. Theor. If a straight line touches a circle, and from the point of contact a straight line... | |
| Euclides - 1816 - 588 pages
...DF touches the circle d. PROP. XVIII. THEOR. IF a straight line touches a circle, the straight line drawn from the centre to the point of contact, shall...be perpendicular to the line touching the circle. Let the straight line DE touch the circle ABC in the point C ; take the centre F, and draw the straight... | |
| John Mason Good - 1819 - 800 pages
...shall touch a given circle. Prop. XVIII. Theor. If a straight line touches a circle, the straight line drawn from the centre to the point of contact, shall be perpendicular tu the line touching the circle. Prop. XIX. Theor. If a straight line touches л circle, and from the... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...touches the circle. Proposition XFIII. Theorem. If a straight line touches a circle, the straight line drawn from the centre to the point of contact shall...be perpendicular to the line touching the circle. Let the straight line DE touch the circle ABC in the point С ; take the centre F, and draw the straight... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...the circle. »Cor.16.3. PROP. XVIII. THEOR. If a straight line touches a circle, the straight line drawn from the centre to the point of contact shall...be perpendicular to the line touching the circle. Let the straight line DE touch the circle ABC in the point C; takef the centre F, and draw the straight... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...A C. Therefore, &c. Cor. 1. (Eue. iii. 18.) If a straight line touches a circle, the straight line drawn from the centre to the point of contact, shall...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches a circle, and from the point of contact, a straight... | |
| Mathematics - 1835 - 684 pages
...to AC. Therefore, &c. Cor. 1. (Eue. iii. 18.) If a straight line touches a circle, the straight line drawn from the centre to the point of contact, shall...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches a circle, and from the point of contact, a straight... | |
| John Playfair - Geometry - 1836 - 148 pages
...to DE ; DF touches the circle. PROP. X. THEOR. If a. straight line touch a circle, the straight line drawn from the centre to the point of contact, shall be perpendicular to the lint touching the circle. Let the straight line DE touch the circle ABC in the point C, take the centre... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...PROPOSITION XVIII. (Argument ad absurdum). Theorem. If a straight line touches a circle, the straight line drawn from the centre to the point of contact shall...be perpendicular to the line touching the circle. Steps of the Demonstration. Suppose that FC is not _L DE, but that some other line drawn from r, as... | |
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