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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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The Cambridge Examiner

1884
...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

Mary W I. Shilleto
...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
...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
...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
...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
...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
...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 - 96 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...

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...

Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...2 and 3 of Bk. II. are only particular cases of Prop. I. 7. If a straight line is divided into any two parts, the squares of the whole line and of one...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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