| 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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