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" IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Side 58
av Euclides - 1841 - 351 sider
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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...
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The Practical Teacher, Volum 2

1883
...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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...part, This proposition is generally omitted by the student. IX. — If a straight line be divided ^nto two equal, and also into two unequal parts, the squares...square of the line between the points of section. Let AB be divided into two equal parts in C, and into two unequal parts in D. Then the squares of AD, DB...
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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...
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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...
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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,...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 sider
...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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Annual Report

Canada. Department of the Interior - 1888
...in such a way tlu.t these parts can be laid upon the smaller squares and exactly cover them. 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 the squares on half the line and on the line between the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...same base and between the same parallels, the parallelogram shall be double of the triangle. 4. 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...
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Calendar

University College, Dundee - 1889
...respectively and making the parallelograms ALOK, CHOM equal. Prove that B, 0, C are colliuear. 4. If a straight line be divided into two equal and also into two unequal parts, the sum of the squares on the unequal parts is equal to twice the sum of the squares on half the line and...
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