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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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...straight Une be dvmded 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 into any two parts in the point С ; the squares...

Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 σελίδες
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. 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...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...of CB, is equal to the square of CD. Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. 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...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOREM. 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 tke whole...

Elements of geometry and mensuration

Thomas Lund - 1854 - 192 σελίδες
...45. PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle...the whole and that part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...from D, the middle point of BC, DE is drawn perpendicular to AS: shew that BE is, one-fourth of AB. 5. If a straight line be divided into any two parts, the squares on the whole line and one of the parts, shall be together equal to twice the rectangle contained by the whole line and that...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...right angle. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...the rectangle AD.DB, and the square of С В is equal to the square of СD. Р B, O P. VII. THEOREM. 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...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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. 8. Divide a given straight line into two parts, so that the rectangle contained...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...to one anoiher. If one of the complements be a square, the parallelogram will also be a square. 4. 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...




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