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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Sessional Papers, Τόμος 26,Τεύχος 8

1893
...proportional between two given straight lines. 8. Divide u given straight line into two parts so that the squares on the whole line and on one of the parts may be together double of the square on the other part. 9. To cut off from a given line (AB) a part,...

Examinations Papers

1894
...by the whole line and the several parts. 5. If a straight line is divided into two parts the sum 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 whole and that part and the square on the...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 657 σελίδες
...to the square on BD. 10—2 PROPOSITION 7. If a straight line be divided into any two parts, the 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 whole line and that part and the square...

Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...exterior angles thus formed is equal to the sum of the interior angles at the other two corners 3. If a straight line be divided into any two parts the...equal to twice the rectangle contained by the whole line and that part together with the square on the other part. 4. Show that the sum of the squares...

Sessional Papers, Τόμος 22,Μέρος 2

Great Britain. Parliament. House of Commons - 1900
...equation 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...

Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 σελίδες
...equation 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...

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...Ex., p. 137.] PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, the 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...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a straight line be divided into any two parts,...part, together with the square on the other part. 5- Prove that in every triangle the square on the side subtending an acute angle is less than the sum...

Annual Report of the Commissioners ..., Τόμος 68

1902
...with the square of the line between the points of section, is equal to the square of half the line. 5. 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,...

Calendar of Dalhousie College and University

Dalhousie University - 1903
...the intersection of its diagonals. 5. If a straight line be divided into any two parts, the sum 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 whole line and that part and the square...




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