 | Edward Harri Mathews - 1879 - 94 pages
...in all respects equal. 3. If from an external point two straight lines be drawn, one of which cuts a circle and the other touches it, the rectangle contained...the circle, and the part of it without the circle, will be equal to the square on the line which touches it. A straight line moves so that equal chords... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...: EB; AE.EB-CE.ED. Proposition 27. Theorem.—If from a point without a circle, two straight lines be drawn, one of which cuts the circle and the other...touches it, the rectangle contained by the whole line and the part without the circle, will be equal to the square of the line touching the circle. From... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...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 on the line which meets tho circle, the line which meets the circle shall touch... | |
 | University of Madras - 1879 - 674 pages
...on AC together with the rectangle AB, AC. III. If from any point without a circle two straight lines be drawn one of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...always equal to two- thirds of a right angle. 4. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...it without the circle shall be equal to the square on the line which touches it. Prove this only in the case in which the cutting line does not pass through... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight linet &c. QED PROPOSITION 38. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square on the line which touches it. Let D be any point without the circle ABC, and let DCA, DB bo two straight... | |
 | Elizabethan club - 1880 - 156 pages
...circle there be drawn two straight lines, one 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 the circle be equal to the square on the line which meets it, the line which meets shall touch the circle. 49... | |
 | Bombay city, univ - 1880 - 754 pages
...circle there be drawn two 5 straight linea, 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 on the line which meets the circle, the line which meets the circle shall touch... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; 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 on the line which meets it, the line which meets shall touch the circle. Draw... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...bisecting these angles all pass through one point. 7. If from any point on a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the angles between the cutting and touching lines are equal to the angles in the alternate segments of... | |
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If from any point without a circle two straight lines be drawn, one of which cuts 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, shall be equal to the square... 
