| Euclides - 1853 - 147 páginas
...other meets the circle, and that the rectangle ab, b С, 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 (iii. 37) the circle a С d ; and beet cause bd... | |
| Euclides - 1853
...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 ; (III. 37.) 2. The straight line BD touches the circle ACD; and because BD touches... | |
| Great Britain. Committee on Education - 1855
...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. 3. Define similar figures, and prove that equiangular triangles are similar.... | |
| Euclides - 1855
...circle, and the other touches it ; the rectangle cnnta-iаed by the whole line which cuts the circle, **and the part of it without the circle, is equal to the square** of the tangent. Let D bе any point without the circle ABС, from -which the two straight lines DA... | |
| Euclides - 1856
...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. If D be any point without a circle ABC and DCA, DB be two straight lines... | |
| War office - 1858 - 12 páginas
...circle and the other meets it, so 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 meets it, then the line which meets the circle will touch the circle. VOLUNTARY PORTION.... | |
| Euclides - 1860
...circumference, one of which cuts, and the other meets the circle, and that the rectangle AB • BC **contained by the secant, and the part of it without the circle, is equal to the square on** BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches... | |
| Robert Potts - 1860 - 361 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** ED which meets it ; therefore the straight line BD touches the circle A CD : (lll. 37.) and because... | |
| Euclides - 1862
...the other meets it, 4. 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 ; 5. Therefore the straight line BD touches the circle ACD. (III. 37.) 6. And because... | |
| Euclides - 1862
...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... | |
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