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" IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square... "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Side xiii
af Miles Bland - 1819 - 377 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...GE.EH, AE.EC = BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle contained by the whole line which cuts the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...to the rectangle Bli, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 sider
...intercepted by two lines drawn from its other extremity to the former intersections of the circle. 79- If from a point without a circle two straight lines be drawn touching it, and from one point of contact a perpendicular be drawn to that diameter which passes through...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. If from, any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained, by the whole line which cuts the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 sider
...equal, and GO=OB, .-. EG = FB = BI; whence EI= GB, and /. EH, HF together are equal to El ie to GB or CD the diameter of the circle. (78. ) If from a point...extremity to the former intersections of the circle. From the point A let AB, AD be drawn, of which AB touches the circle BCD, and AD cuts it ; and draw...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 sider
...given in position to draw two lines which shall meet in that line, and make equal angles with it. 3. If, from a point without a circle, two straight lines be drawn to the concave part of the circumference, making equal angles with the line joining the same point...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...rectangle BE, ED Wherefore, if two straight lines, &c. QED Proposition XXXVI. Theorem. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the...
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Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - 1827 - 462 sider
...circle, to draw two lines to a point in the circumference, which shall cut aline given in position, so that the part of it intercepted by them may be...extremity to the former intersections of the circle. 80. If any chord in a circle be bisected by another, and produced to meet the tangents drawn from the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which a1ts the...
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