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" If a straight line be divided into any two parts, four times the rectangle contained ~by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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Class lessons on Euclid

Marianne Nops - 1882
...square on half their sum. Rect. AD, DB and sq. on CD = sq. on CB. Includes Euclid's II. 5 and 6. n. 8. If a straight line be divided into any two parts,...contained by the whole line and one of the parts, with the square on the other part, is equal to the square on the straight line which is made up of...
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The Competitor, Volumes 1-2

1882
...twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Divide a given ttraight line into two parts so that the...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part....
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The papers set at the professional preliminary examination

College of preceptors - 1882
...(without proof) a converse of this proposition. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Give the enunciation (without the proof) of a subsequent...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...BC, together with the square on AC. EUCLID'S ELEMENTS. PROPOSITION 8. THEOREM. If a straight line lie divided into any two parts, four times the rectangle...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...several parts into which the other is divided. COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2....
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...(ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained by the two parts. Let...
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Glasgow University Calendar

University of Glasgow - 1883
...action. HIGHER MATHEMATICS. Uth Oc'ober, 1882. 1. Divide a given straight lino into two parts, such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Where does Euclid afterwards make use of this proposition...
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The elements of plane geometry, Volume 1

Mathematical association - 1884
...contained by AB and CE, AB and EF, AB and FD. QED COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...contained by AB and CE, AB and EF, AB and FD. QED vj COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows...
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