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If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872
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## The National Schoolmaster, Volumes 7-8

Schools - 1877 - 606 pages
...parts, so that the square on one part shall be double of the square on the other. 2. If a straight line be divided into two equal parts, and also into...section, is equal to the square on half the line. Algebra. a'ly'z - at'yz* x- + •tx + 2 i. Reduce to lowest terms - , . „ — and — . — ~ —...
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## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...contained by the segments of the base, is equal to the square on the perpendicular. SE 6 If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. JD K. S. Let the st. Hue AB be divided equally in C and unequally inZ>. Then must rect. AD, DB together...
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## Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 pages
...always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 5. Draw a straight...
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## The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...of the other. A complete demonstration is required. 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 of the line between the points of section, is equal to the square of half the line. Prove this also...
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...segments of the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into...with the square on the line between the points of lection, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally...
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## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...diameter of it square, are likewise squares. ,7\ V. — 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 of the line between the points of section, is equal to the square of half the line. Let AB be divided...
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## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...The square on a line is four times the square on half the line. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. * Let the straight line AB be divided into two ' • equal parts at the point C, and into two unequal...
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## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 4

Moffatt and Paige - 1883 - 602 pages
...parallelograms about the diameter of a square are likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts and also into...together with the square on the line between the points oj section, is equal to the square on half the line. Let the straight line AB be divided into two equal...
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## The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...(if possible) Q. 2, [All generally understood abbreviations for words may be used] I. If a straight line be divided into two equal parts, and also into...parts, together with the square on the line between the poiiits of section, is equal to the square on half the line. Prop. V., Bk. II. THE PRACTICAL TEACHER....
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## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...(if possible) Q. 2. [All generally understood abbreviations for mordí maybe usedj I. If a straight line be divided into two equal parts, and also into...parts, together with the square on the line between the pouils of section, is equal to the square on half the line. Prop. V., Bk. II. THE PRACTICAL TEACHER....
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