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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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...a st. 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 a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30....

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...Shew that Propositions V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. 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...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 2

Euclides - 1872
...the two diagonals of the parallelogram. in. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may bo together double of the square on the other part. in. 28. A triangle is turned about its vertex,...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...for a given parallelogram, can have ? Ii. 11. Divide a given straight line into two parts such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 1867. in. 22. If the chords, which bisect...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...straight line he divided into any two part*, the squares of the wJwle 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 AB be divided into any two parts in C. Then the squares of AB, BC, are equal...

The Madras University Calendar

University of Madras - 1873
...6hall be equal to a given triangle. V. 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 contained by the whole and that part, together with the square on the...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...CB, is equal to the square on CD. Therefore, if a straight line, &c. QED Proposition 7.— Theorem. 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...

Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...weighs G2-5 pounds. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. 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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...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 contained by the whole...part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C; PROPOSITIONS. For AK=CE. .-....

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...equal to the difference of the squares on the lines." PROPOSITION 7. THEOREM. If a straight line l>e divided into any two parts, the 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...




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