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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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Class lessons on Euclid

Marianne Nops - 1882
...made up of the whole and that part. 4 (Rect. AB, BC) with sq. on AC = sq. on sum of AB, BC. II. 7. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part, together with...

The papers set at the professional preliminary examination

College of preceptors - 1882
...equal to the rectangle contained by the two parts together with the square on the aforesaid part. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts shall be equal to twice the rectangle contained by the two parts together with the...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 σελίδες
...Show that the straight line joining BD in the above figure passes through G. G K F PROP. 7. THEOR. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole and that part, together with the square...

Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883 - 192 σελίδες
...divided into any two parts, the square on the whole line and one of the parts is equal to four times the rectangle contained by the whole and that part, together with the square on the other part. Let AB be a straight line divided into two parts in С.. Л С В D IIII Let A В + B С be A D. Then...

The Practical Teacher, Τόμος 2

1883
...E ; show that OD = OE. 2. To divide a given straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle, which is not greater than the square on the whole line. 3. If a...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 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...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883
...E ; show that OD = OE. 2. To divide a giren straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle, which is not greater than the square on the whole line. 3. If a...

Yale Examination Papers

F. B. Stevens - 1884 - 175 σελίδες
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 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...

Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...straight line is 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 : where is this proposition employed ? 8. Derive Prop. 8 from Props. 4 and 7. 9....

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...AB to meet AD in .//and BC in G; the triangles AGF, AEH&K together equal to the triangle ABC. tained by the whole and that part, together with the square on the other part. If AB be divided in C so that the square on AC is double the square on CB, the sum of AB and CB will...




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