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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 pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...line which is made up of the half and the part produced. 7.Define a rectangle and a gnomon. Prove that 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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...is that which is half of the given square. 504. Divide a 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. 505. Two rectangles have equal areas and equal...

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 σελίδες
...square on AB " is " sq. on AB," and for " the rectangle contained by AB and CD," " rect. AB, CD."] 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...

The Cambridge Examiner, Τόμος 4

1884
...Divide the area of a circle into three equal parts, which shall also have equal perimeters. , . 7. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts shall be equal to twice the rectangle contained by the whole and that part, together with the square...

The Cambridge Examiner, Τόμος 1

1881
...straight line be divided into any two parts, the square 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. Any rectangle is the half of the rectangle contained by the diameters of the squares...

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

Euclides - 1881
...itraight linn 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 iquare of the other part. Let the straight line AB be divided into any two parts at the point C. The...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...right angle, and oblong. 2. The greater side of every triangle has the greater angle opposite to it. 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 squares on the...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882
...either of the equal sides AB, AC ; prove that the rectangle BD, CD is equal to the rectangle AD, ED. 2. 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...

The Practical Teacher, Τόμος 1,Τεύχος 1

1882
...the triangle CNK equal to the triangle ARC, and the triangle BMF equal to the triangle ARB, &c.) 2. 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...

The Competitor, Τόμοι 1-2

1882
...them of the other ; the base of that which has the greater angle shall be greater than the other. 2. If a straight line be divided into any two parts, the squares on the whole line and on one of thepartsare equal to twice the rectanglecontained by the whole part, together with the squares on the...




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