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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 of the line between the points of section, is equal to the square of half the line. "
The examination papers as set for the preliminary literary examination of ... - Σελίδα 1
των Royal college of surgeons of England - 1860
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1894
...the triangle of least perimeter that can be inscribed in a given triangle is the pedal triangle. 2. If a straight line be divided into two equal parts...two unequal parts, the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to...

The Manitoba School Question

Frederick Coate Wade - 1895 - 122 σελίδες
...describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. 4. 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. Construct a rectangle...

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1896
...sides of a triangle are joined it is divided into four equal triangles. 4. Prove that if a line is divided into two equal parts and also into two unequal...contained by the unequal parts together with the square on the part between the points of section is equal to the square on half the line. Hence show that...

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1898
...of a quadrilateral bisect each other it is a parallelogram. 3. If a line be divided into two equal and also into two unequal parts the rectangle contained by the unequal [»arts is less than the square of half the Hue by the square of the line between the points of section....

Sessional Papers, Τόμος 32,Τεύχος 10

1899
...another. 2. The three interior angles of every triangle are together equal to two right 16 angles. 3. If a straight line be divided into two equal parts and also into two 16 unequal parts, the rectangle contained by the two unequal parts, together with the square on the...

Examination Papers

University of Toronto - 1900
...4SUPPLEMENTAL EXAMINATIONS : SEPTEMBER, 1900. JUNIOR MATRICULATION. GEOMETRY. Examiner: HJ DAWSON, BA 1. 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. (II. 5.) Divide...

Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 σελίδες
...equally and unequally, show that the rectangle contained by the unequal parts together with the square ou the line between the points of section is equal to the square on half the line. 11. If from a point on the circumference of a circle a tangent and a chord be drawn...

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...equally and also unequally, 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 (X. p £ QB H I. 46. I. 31. I. 43. C ED Let the straight line AB be divided equally...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...one angle and the lengths of the perpendiculars from the other two angles on the opposite sides. 3. If a straight line be divided into two equal parts, and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between...

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University of Sydney - 1901
...third side, then the two sides contain a right angle. 6. If a straight line is divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, etc. Complete this examination and prove the theorem. 7. ABCD is a square, each side of which is eight...




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