 If a straight line be divided into any two parts, show that the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.  Examination Papers for Science Schools and Classes - Page 42by Great Britain. Education Department. Department of Science and Art - 1890Full view - About this book
 | Education - 1884 - 708 pages
...onDB, or rect. AD'DC = sq. on DB. (Axiom.) QED 2. If a straight line be divided into any two part* the squares on the whole line and on one of the parts equal to twice the rectangle contained by the whole and that part together with the square on the other... | |
 | Dalhousie University - 1887 - 206 pages
...which the four small triangles stand to one another. \ 4. If a straight line be divided into two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. 5. Hence give a Geometrical proof of the algebraic proposition, a 2 + 'r>2ai, a and b being unequal... | |
 | Joseph Hughes - Education - 1889 - 600 pages
...questions, including question j, if you can do so.) 1. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts,...part, together with the square on the other part. Euclid, Book П., ^. 2. In every triangle, the square on the side subtending an acute angle is less... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...on ED, EB. =rect. AD, DB. II. 5 and 6. PROPOSITION 7. If a straight line is divided into two parts, the squares on the whole line and on one of the parts...that part together with the square on the other part. Let AB be divided at C. Then the sqs. on AB, BC = twice rect. AB, BC with sq. on AC. On AB describe... | |
 | Education - 1891 - 442 pages
...that the diagonal bisects it SECTION III. 7. If a straight line be divided into any two parts, then the squares on the whole line and on one of the parts...that part together with the square on the other part. Prove this proposition. 8. Divide a straight line into two parts so that the rectangle contained by... | |
 | Euclid - Geometry - 1892 - 460 pages
...Ex., p. 129.] PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, tlte sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...its angles equal to a given angle. 3. If a straight line be divided into any two parts, the 10 sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...is three times the square on the larger part. 5. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts...that part together with the square on the other part. NOTE.—Female candidates for Class I. will omit the 2nd and 4th of the foregoing questions and work... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...square on BD. 10—2 PROPOSITION 7. If a straight line be divided into any two parts, the swin, of the squares on the whole line and on one of the parts is equal to the sum of twice the rectangle contained by the whale line and tliat part and the square... | |
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