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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. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Σελίδα 51
των Euclides - 1860
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The National Schoolmaster, Τόμοι 7-8

1877 - 604 σελίδες
...line into two 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,...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 — . — ~ —...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...rectangle, 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...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...

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 264 σελίδες
...Can a rectangle 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,...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...

The Edinburgh university calendar

Edinburgh univ - 1871 - 392 σελίδες
...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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...contained by the 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...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...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, and also into two unequal parts, the rectangle contained...the unequal parts together with the square on the part between the points of section is equal to the square on half the line. (II. 5.) Let A be the given...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...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...

The Practical Teacher, Τόμος 2

1883 - 654 σελίδες
...Questions, including (if possible) Q. 2, [All generally understood abbreviations for words may be used] I. If a straight line be divided into two equal parts,...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....

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Τόμος 4

Moffatt and Paige - 1883 - 602 σελίδες
...that the parallelograms about the diameter of a square are likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts...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...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883 - 568 σελίδες
...Questions, including (if possible) Q. 2. [All generally understood abbreviations for mordí maybe usedj I. If a straight line be divided into two equal parts,...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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