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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 Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 σελίδες
...and 10. 2. If a 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...the whole and that part, together with the square on the other part. Hence show that the sum of the squares on two straight lines is never less than...

The Cambridge Examiner, Τόμος 1

1881 - 504 σελίδες
...formed together equal two right angles. 5. If a 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 of the whole and that part together with the square of the other part. Express in geometrical terms...

The Cambridge Examiner, Τόμος 4

1884 - 538 σελίδες
...line be divided into any two parts, the 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 on the other part. 8. If two circles touch one another internally, the straight line which joins their...

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

Mary W I. Shilleto - 1882 - 418 σελίδες
...AD, ED. 2. If a 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...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...

The Practical Teacher, Τόμος 1,Τεύχος 1

1882 - 676 σελίδες
...ARB, &c.) 2. If a 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...the whole and that part, together with the square on the other part. Algebra. 1. Find the G. c. M. of 24^-22^ + 5, and 48лг4+1бл5-15, and reduce...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...VII., THEOREM 7. If a 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...the whole and that 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 sqq....

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...opposite to it. 3. If a 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 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 Competitor, Τόμοι 1-2

1882 - 486 σελίδες
...be divided into any two parts, the sum of the squares on the whole line, and on one of the parts, is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 7. Prove that equal chords of a circle are equally distant from the centre. 8. If...

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

Joseph Hughes - 1883 - 568 σελίδες
...ED. QED 2. If a straight 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...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...

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

Euclides - 1883 - 176 σελίδες
...straight line 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...




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