 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...Show that if a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. If the two complements are together equal to the squares on the two parts, show, either by geometry... | |
 | Harrow School - 1890 - 172 pages
...line. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. The angles in the same segment of a circle are equal to one another. 6. Let AB be a given... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...part. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...a • 6. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Prove that the rectangle contained by the diagonals of any two squares is equal to twice the rectangle... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...axiom. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...B. 5. (a) If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. II. 4. (6) Deduce II. 7. from propositions II. 4. and II. 3. 6. Divide a given straight line into two... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...THEOREM. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. Let the straight line AB be divided at C into the two parts AC, CB. Then shall the sq. on AB be equal... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...triangle ABC. 6. If a straight line be divided into any two parts the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. 7. To describe a square that shall be equal to a given rectilineal figure. If a square and an... | |
 | Education - 1901 - 548 pages
...triangle. (5) If a straight line be divided into any two pails, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. B. (7) С is the middle point of the given straight line AB ; from С a straight line CD is drawn equal... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...line-segment is divided internally into any two parts, the square on the whole segment is equal in area to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. § 311. (2) If a given line-segment is divided externally into any two parts, the square on the given... | |
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If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 
