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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 55
των Euclid, John Playfair - 1826 - 320 σελίδες
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Annual Report

Canada. Department of the Interior - 1888
...respects. 2. Parallelograms on equal bases and between the same parallels are equal to one another. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together doable of the square on half the line together with the square...

Calendar of Dalhousie College and University

Dalhousie University - 1889
...of the same base are between the same parallels. 4. Prove, by means of a diagram or otherwise, that if a straight line be divided into two equal and also into two unequal parts, the rectangle of the two unequal parts together with the square of the line between the points of section...

Calendar

University College, Dundee - 1889
...K respectively and making the parallelograms ALOK, CHOM equal. Prove that B, 0, C are colliuear. 4. If a straight line be divided into two equal and also into two unequal parts, the sum of the squares on the unequal parts is equal to twice the sum of the squares on half the line and...

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

E. J. Brooksmith - 1889
...the same base and between the same parallels, the parallelogram shall be double of the triangle. 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 on the line between the points of...

The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 393 σελίδες
...in 0: show that the square on OB is equal to the square on OA with twice the rectangle OA, AC. 48. If a straight line be divided into two equal and also into two unequal parts, the rectangle of the unequal parts with the square on the line between the points of section, is equal...

Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 σελίδες
...but the methods of proof must be geometrical. Great importance will be attached to accuracy, ,] 1. If a straight line be divided into two equal and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...rectangle contained by the line and the line made up of the half and the part produced. PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 657 σελίδες
...contained by the line and the line made up of the half and the part produced. EH F NP M L PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...

Annual Report of the Commissioners ..., Τόμος 64

1898
...to two given points the joining lines will made equal angles with the given line (4 marks). 7. If a line be divided into two equal and also into two unequal parts, prove that the rectangle contained by the unequal parte, together with the square of the line between...

Annual Report of the Commissioners ..., Τόμος 65

1899
...sum is less than the sum of the remainin" sides of the triangle, but they contain a greater angle. 3. If a straight line be divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line and of the square of the lino between...




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