 | Mathematics - 1836 - 488 pages
...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 a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Mrs. L. H. Tyler - Astronomy - 1837 - 302 pages
...equatorial di ameter ? What is the curvature of the earth for one mile ? 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, ie the distance cn multipled into nb, equals the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...be drawn, one of which cuts the circle, and the other touches it, the rectangle B/ contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Steps of the Demonstration to Case 1st,... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1838 - 264 pages
...tines 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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 154 pages
...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 of the line which touches it-" Let D be any point without the circle ABC,... | |
 | Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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 of the line which touches it. MENSURATION. Section 3. 1. What is the cost... | |
 | Euclides - Geometry - 1841 - 378 pages
...lints 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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1842 - 316 pages
...the circle, and the part of it which is on the exterior of the circle, be equivalent to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be taken on the exterior of the circle ABC, and from it let two straight lines DC A and DB be drawn, of which... | |
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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... 
