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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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 191
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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The Edinburgh university calendar

Edinburgh univ - 1871 - عدد الصفحات: 392
...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...section, is equal to the square of half the line. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one...

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

Euclides - 1871 - عدد الصفحات: 136
...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...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. JD K. S. Let the...

The National Schoolmaster, المجلدات 7-8

1877 - عدد الصفحات: 606
...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,...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. Algebra. a'ly'z...

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

Euclides, James Hamblin Smith - 1872 - عدد الصفحات: 376
...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...contained by the unequal parts, together with the square on the line between the points of lection, is equal to the square on half the line. Let the st. line...

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

Euclid, Charles Peter Mason - 1872 - عدد الصفحات: 216
...and its parts answer to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into...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. For the construction...

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

Henry Major - 1873 - عدد الصفحات: 580
...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...section, is equal to the square of half the line. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then...

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - عدد الصفحات: 130
...may be divided into triangles and its area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts,...section, is equal to the square of half the line. Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the...

Pure mathematics, المجلد 1

Edward Atkins - 1874 - عدد الصفحات: 426
...the parallelograms about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the pointg of section, is equal to the square on half the line. Let the straight...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - عدد الصفحات: 342
...the parallelograms about the diameter of a square are likewise squares. PROPOSITION 5. — Theorem. If a straight line be divided into two equal parts,...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. Let the straight...

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - عدد الصفحات: 120
...square. 2. 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...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. * Let the straight...




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