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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 55
των Euclid, John Playfair - 1826 - 320 σελίδες
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...the same base and between the same parallels, the parallelogram shall be double of the triangle. 7. If a straight line be divided into two equal, and also into two unequal parts, the square on the two unequal parts are together double of the square on half the line and of the square...

The papers set at the professional preliminary examination

College of preceptors - 1882
...square described on the third side, then the angle contained by the two sides is a right angle. 4. If a straight line be divided into two equal and also into two unequal parts, then the rectangle contained by the unequal parts, together with the square on the line between the...

The Competitor, Τόμοι 1-2

1882
...shall be equal in area to a given triangle, and shall have one of its angles equal to a given angle. 5. If a straight line be divided into two equal, and also into two nnequal parts, show that the rectangle contained by the unequal parts, together with the square on...

Annual Report

1886
...4. Equal triangles on the same base and on the same side of it, are between the same parallels. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...

Glasgow University Calendar

University of Glasgow - 1883
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...

The Practical Teacher, Τόμος 2

1883
...into any two parts at C. Then rcct. AB, BC = reel. AC, BC, together with sq. on BC.— See Prop. 3, 3. If a straight line be divided into two equal, and also into two unequal, parts, the sqs. on the two unequal parts are together double of the sq. on half the line, and of the sq. on the...

University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...alternate angles equal to one another, the two straight lines shall be parallel to one another. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...

Annual Report of the Chief Superintendent of Education

1885
...lines make the alternate angles equal to one another, these two straight lines must be parallel. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two .unequal parts are together double of the square on half the line and of the square on the...

Calendar of Dalhousie College and University

Dalhousie University - 1886
...other and the angles included by the sides supplementary, the triangles shall be equal in area. 2. If a line be divided into two equal and also into two unequal parts, the rectangle contained by the two latter, together with the square of the line between the points of section,...

First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 σελίδες
...the rectangle ABCD is equal to twice the triangle AEF together with the rectangle BE, DF. 231. If a line be divided into two equal and also into two unequal...the squares of the two unequal parts are together equal to twice the rectangle contained by these parts together with four times the square of the line...




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