 | 1884 - 266 páginas
...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, is equal to the square of the line which touches it. Upon any straight line AB describe a semicircle and draw any two chords... | |
 | Royal Military College, Sandhurst - 1890 - 144 páginas
...and the other touches it, show that the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which touches it. Find the locus of points from which the tangents drawn to two intersecting circles... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which meets the circle, then the line which meets the circle slwll be a tangent to it. 'E Let... | |
 | Eldred John Brooksmith - 1901 - 368 páginas
...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, is equal to the square on the line which touches it. 9. Inscribe a circle in a given triangle. t0. Prove that in a right-angled triangle,... | |
 | 1902 - 482 páginas
...and the other touches it; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle, is equal to the square of the line which touches it. 3. Inscribe a regular pentagon in a given circle. 4. Prove that triangles... | |
 | Euclid - 1904 - 488 páginas
...circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which meets the circle, then the line which meets the circle shall be a tangent to it. 'E Let... | |
 | 1904 - 386 páginas
...and the other touches it. Show that the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which touches it. Hence show that if two circles intersect, their chord of intersection is the... | |
 | 1905 - 212 páginas
...a point without a circle a tangent and a secant be drawn, then the rectangle contained by the whole secant and the part of it without the circle is equal to the square on the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle. (e) If two triangles... | |
 | Alexander H. McDougall - 1910 - 316 páginas
...secant and the other meets the circle so that the square on the line which meets the circle is equal to the rectangle contained by the secant and the part of it without the circle, the line which meets the circle is a tangent. Hypothesis. — PA- and PBC are drawn to the circle ABC... | |
 | Trinity College (Dublin, Ireland) - 1918 - 554 páginas
...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, is equal to the square of the line which touches it. 6. How many circles can be described to touch three lines, and prove... | |
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BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in. 
