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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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Examinations Papers

1891
...to the sum of the squares on them together with twice the rectangle contained by them. 5. Prove that if a straight line be divided into any two parts,...that part together with the square on the other part. 6. In an obtuse-angled triangle the square on the side opposite the obtuse angle is equal to the sum...

Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 σελίδες
...is equal to the square on the straight line which is made up of the half and the part produced. 7. 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 Educational Record of the Province of Quebec: The Medium ..., Τόμος 11

1891
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 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...

Educational Review

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906
...x«+2(b+c)x+a«=o and a be not equal to b, prove that each equation has its two roots equal to one another. 9. 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...

Annual Report of the Chief Superintendent of Education

1891
...other pair. 4. (a) To divide a given straight line into two parts so that the rectangle contained by 5. If a straight line be divided into any two parts, the squares on the whole line andón one of the parts are equal to twice the rectangle contained by the whole and that part together...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 σελίδες
...Ex., p. 129.] PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, tlie 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...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...equal to a given rectilineal angle. 3. If a straight line is divided into any two parts, the 15 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...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...the squares on the •whole line and smaller part is three times the square on the larger part. 5. 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 other...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...of the squares on the whole line and smaller part is three times the square on the larger part. 5. 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 other...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...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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