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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...triangle ABC. 4. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. If AB be divided in C so that the square on AC is double the square on CB, the sum...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...F PROPOSITION 7. If a straight line is divided into two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...by the whole and 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...

Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 σελίδες
...1. If a straight line be divided into any two parts, prove that the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Prove that the rectangle contained by the diagonals of the squares on the whole...

Educational Review

1906
...another. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 10. From a given point O external to a given circle draw a straight line OPQ to...

The Educational Record of the Province of Quebec: The Medium ..., Τόμος 11

1891
...rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 4. What proposition of the second book would be formed from Euclid II. 12, by bringing...

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

Rupert Deakin - 1891 - 79 σελίδες
...produced. 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 8. If a straight line be divided into any two parta, four times the rectangle contained...

Annual Report of the Chief Superintendent of Education

1891
...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...by the whole and 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...

Examinations Papers

1891
...line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and 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...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...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 other part. 4. If a straight line is bisected and produced to any 12 point, the sum of the squares...

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

Euclid, Robert Simson - 1892 - 518 σελίδες
...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 other part. FE Let the straight line. AB be divided at C into the two parts AC, CB : then shall...




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