 If from a point without a circle there be drawn two straight lines, one of which cuts the 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, be equal to the square...  Elements of Arithmetic, Algebra, and Geometry - Page 164by George Lees - 1826Full view - About this book
 | Elizabethan club - 1880 - 156 pages
...prove that if the tangent to the circle at A meet CB produced in D, then DE will be equal to DA. 8. If from a point without a circle there be drawn two...of which cuts the circle, and the other meets it, then if the rectangle contained by the whole line which cuts the circle and the part of it without... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...one another which do not both pass through the centre, they do not bisect one another. 4. If from any point without a circle there be drawn two straight...one of which cuts the 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the straight line AD, which touches the circle. [Axiom 3. QEB PROPOSITION 87. THEOREM. If from any point without a circle there be drawn two straight...of which cuts the circle, and the other meets it, and if the rectangle contained by the whole lins which cutt the circle, and the part of it without... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...opposite angles are together equal to two right angles, a circle can be described about it. 16. Prove that if from a point without a circle there be drawn two straight lines one of which touches and the other cuts the circle, the rectangle between the whole line which cuts the circle and... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...bisected at D. Prove that the angle ADO is half the difference of the angles ABC and ACB. 6. If from any point without a circle there be drawn two straight lines, one of whirh cuts the circle, and the other meets it, and if the rectangle contained by the whole line which... | |
 | Education, Higher - 1884 - 538 pages
...angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. 7. If from a point without a circle there be drawn two...if the rectangle contained by the whole line which cut the circle and the part of it without the circle be equal to the square of the line which meets... | |
 | Education, Higher - 1881 - 504 pages
...internally or externally, the two circles can have at the point of contact only one common tangent. 10. If from a point without a circle there be drawn two...of which cuts the. 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... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...tase is greater than the angle contained by the two sides equal to them of the other. 6. If from any point without a circle there be drawn two straight...of which cuts the 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... | |
 | University of Glasgow - 1883 - 438 pages
...equal to the square on the other part. Where does Euclid afterwards make use of this proposition ? 2. If from a point without a circle there be drawn two...meets it ; if the rectangle contained by the whole cutting line and the part without the circle be equal to the square on the other line, the latter shall... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...ELEMENTS. PROPOSITION 87. THEOREM. If from any point without a circle there be drawn i-wo itraight lines, one of which cuts the 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... | |
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