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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

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...unequal segments is equal to the difference between the squares on half the line and the mean distance. 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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice, the square on the other part. 14. Any rectangle is the half of the rectangle...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...equal hases, in the same straight line and on the same side of it, are between the same parallels. 6. If a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...expect to find the " differences " largest at the early part of the table and gradually decreasing. 14. 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 of the other...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...to it. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 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 other...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...to the square on CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 7. -THEOREM. If a straight line be divided into any two parts, the squares on the wlutle line) and on one of the parts, are equal to twice the rectangle contained by the whole and that...

Papers Read at the Royal Institute of British Architects

1863
...straight line be divided into any two parts the squares of the whole line, and 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 : Prove this by Euclid's demonstration, and also (if there be time) algebraically....

Responsions

University of Oxford - 1863
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 8. If a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...CB, is equal to the square on CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole tine, and on one of the parts, are equal to twice the rectangle contained by the whole and that part,...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...of n letters a, b, c, and their powers. Find the number of terms in the expansion of (a+b+c+d)\ 9. 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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