 | Civil service - 366 Seiten
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the circle, and the other touches it ; the rectangle...equal to the square of the line which touches it. If any line is drawn touching a circle, the part of it intercepted between the tangents at the extremities... | |
 | Henry William Watson, Edward John Routh - 1860 - 240 Seiten
...the difference of two adjacent sides is given. 3. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and...it without the circle, shall be equal to the square on the line which touches it. If two chords AB, AC be drawn from any point A of a circle, and be produced... | |
 | John Playfair - 1860 - 334 Seiten
...BE. ED. PROP. XXXVI. THEOR. B Jf from any point without a circle two straight lines be drawn, one iif which cuts the circle, and the other touches it; the...the circle, and the part of it without the circle, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Robert Potts - 1860 - 380 Seiten
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the... | |
 | Euclides - 1862 - 140 Seiten
...(ax. 1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the... | |
 | Euclides - 1862 - 172 Seiten
...two straight lines, &c. QED PROP. 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; then the rectangle contained by the whole line which cuts the circle, and the part of it without the... | |
 | Robert Potts - 1863 - 482 Seiten
...angle in the segment equals four right angles. 13. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the...rectangle contained by the whole line which cuts the circleand the part of it without the circle, shall be equal to the square of the line which touches... | |
 | Euclides - 1863 - 122 Seiten
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight... | |
 | University of Cambridge - 1864 - 694 Seiten
...shall together be equal to the square on the third. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...it without the circle, shall be equal to the square on the line which touches it. If from a given point A without a given circle any two straight lines... | |
 | William Walton - 1864 - 234 Seiten
...AC+ac[. on CD; therefore AB has been divided, &c. QEF 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...it without the circle, shall be equal to the square on the line which touches it. If from a given point A without a given circle any two straight lines... | |
| |
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... 
