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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
The first and second books of Euclid explained to beginners, by C.P. Mason - Σελίδα 149
των Euclid, Charles Peter MASON - 1872
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...one shall be equal to the angle which is contained by the two sides, equal to them, of the other. 3. If a straight line be divided into any two parts,...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...

The Elements of Plane Geometry

Euclid - 1845 - 262 σελίδες
...angle A is four-thirds of a right angle ; prove that BC2 = CA2 + AB2 + rect. CA . AB. 168. PROP. 4. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on...
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The Bombay University Calendar

University of Bombay - 1902
...straight line be divided into any two parts, the squares on the 5 whole line and one of the parts are equal to twice the rectangle contained by the whole...part, together with the square on the other part. 4. If. two adjacent sides of a quadrilateral described about a circle be 8 equal, shew that two opposite...

Examinations Papers

1877
...mistahe.) 6. If a straight line be divided into any two parts, the square on the whole line and the square on one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the square on that part. 7. If a straight line be divided into two...

Parliamentary Papers, Τόμος 42

Great Britain. Parliament. House of Commons - 1864
...straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Hence show that tlie squares of any two unequal straight lines are together greater...

Calendar

University of St. Andrews - 1891
...to CD ; its diagonals AC, BD meet at O. Prove A AOD = A BOG. 3. If a straight line be divided into two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on...

Calendar

University of St. Andrews - 1901
...the sum of the squares on the whole line anil one of the parts is equal to twice the rectangle under the whole and that part together with the square on the other part. ABCD is a square and BD is produced to E, so that DE = AB. Prove that the square on AE is equal to...

Report of Her Majesty's Civil Service Commissioners: Together ..., Τόμοι 15-16

1870
...three squares : show that each of the three triangles thus formed equals the given triangle ABC. 4. If a straight line be divided into any two parts, the squares of the 5. If a1 straight line touch a circle and from the point of contact a IITDU. FOBEST straight...

Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860
...alternate angles equal. 7. Triangles upon the same base and between the same parallels are equal. 8. If a straight line be divided into any two parts the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and...




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