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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882
...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, the squares on the whole...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 and the part produced,...
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The Practical Teacher, Volumen1,Tema 1

1882
...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, the squares on the whole...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 24**-22*i' + 5 {o lowest...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...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, the squares on the whole...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...
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The Competitor, Volúmenes1-2

1882
...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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The papers set at the professional preliminary examination

College of preceptors - 1882
...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...
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Class lessons on Euclid

Marianne Nops - 1882
...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...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883 - 192 páginas
...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...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...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, 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

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...
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