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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... "
Elements of Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
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The Oxford examiner, ed. by M.W.I. Shilleto

Mary W I. Shilleto
...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, and that part, together with the square on the other part. Produce a given straight line, so that the sum of the squares on the given line...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...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 and that part, together with the squares on the other part. 4. If two triangles have two sides of the one equal to two sides of the...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 σελίδες
...the squares of the two parts, together with twice the rectangle contained by the two parts. A C1 B Let the straight line AB be divided into any two parts in C; then will a.. Upon AB describe (I. 41) the square A BED ; join BD ; through C draw (I. 29) CF parallel...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Τόμος 4

Moffatt and Paige - 1883
...are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the noint C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with the...

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

Euclides - 1883 - 96 σελίδες
...be divided into any two parts, the 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 on the other part. Let AB be divided into any two parts at C. A ' D To prove AB2 + CB2 = 2 rect. AB...

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

Joseph Hughes - 1883
...line be divided into any two parts, the squires 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 part. Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending either...

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

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...parts, are ril to twice the rectangle contained by the whole and part, together with the square on the other part. Let the straight line AB be divided into any two parts at the point C ' : the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with...

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...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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...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 to twice the rectangle...

Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...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. Shew that the second...




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