 | 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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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. 
