 | Great Britain. Education Department. Department of Science and Art - 1877
...parts of each metal ? Section B.—Geometry. 27. Prove that, if a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. (15.) 28. Prove that, if two circles touch one another, their centres and the point... | |
 | Isaac Sharpless - 1879 - 266 sider
...equal to BG. Also, BK=BG.BD = Proposition 2. Theorem.—If a straight line be divided into any two parts, the rectangles contained by the whole and each...the square of the whole line. Let the straight line AB'be divided into any two parts in the point C; then AB.AC+AB. CB = AB\ On AB describe (I. 41) the... | |
 | Edward Harri Mathews - 1879
...drawn through the four points CDEF. May 1877. 1. Prove that, if a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole 2. Prove that if two circles touch one another, their line. centres and the point of contact... | |
 | Euclides - 1879
...the several parts of the other.'] PROPOSITION II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Let the sL line AB be divided into any two parts at C. Then rect. AB, BC together... | |
 | Moffatt and Paige - 1879
...be two straight lines, etc. QED Proposition II. Theorem. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | W J. Dickinson - 1879 - 36 sider
...and the several parts of the divided line. 2. Prove that if a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Deduce from this that a square on a straight line is equal to four times the square... | |
 | 1880
...parallelogram bisect them, the parallelogram is a rhombus. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Give the corresponding result in algebra. 3. Euc. II. 9. Algebra. — i. A man paid... | |
 | Isaac Todhunter - 1880 - 400 sider
...lines &c. QKD K L. H A PROPOSITION 2. THEOREM. If a straight line be divided into any two parts, flie rectangles contained by the whole and each of the parts, are together equal to the square on tJie whole line. Let the straight line AS be divided into any two parts at the point C: the rectangle... | |
 | 1883
...through the points of section to cut the circles are equal. 9. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. 10. A segment of a circle being given, describe the circle of which it is a segment.... | |
 | Moffatt and Paige - 1881 - 1880 sider
...parallelogram bisect them, the parallelogram is a rhombus. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Give the corresponding result in Algebra. 3. If a straight line be divided into... | |
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IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... 
