| Euclides - 1863
...and the other meets the circle, and the rectangle AB.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 (III. 37). Because BD touches... | |
| Woolwich roy. military acad - 1864
...the centre, 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 the circle. Two circles intersect, AB is their common chord, a point 0 is... | |
| Euclides - 1864
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the** sqvare on BD which meets it ; therefore the straight line BD touches the circle A CD : (in. 37.) and... | |
| Euclides - 1865
...other meets the circle, and that the rectangle AB, 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 ; the straight line BD touches the circle ACD ; (in. 37) and because BD touches... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...and the other meets it, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square on** BD which meets it ; therefore the straight line BD touches the circle A CD. [III. 37. And, because... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...and the other meets it, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square on** BD which meets it ; therefore the straight line BD touches the circle A CD. [I II. 3 7. And, because... | |
| Robert Potts - 1868 - 410 páginas
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square on** BD which meets it ; therefore the straight line BD touches the circle A CD : (ilI. 37.) and because... | |
| Richard Wormell - 1870 - 276 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 tangent. 50. The line joining the centres of two circumferences is perpendicular to their common... | |
| Edinburgh univ - 1871
...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. Prove that similar triangles are to one another in the duplicate ratio... | |
| Euclides - 1874
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square on** BD which meets it; therefore 2. The straight line BD touches the circle ACD (III. 37) ; and because... | |
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