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" IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Side 58
av Euclides - 1841 - 351 sider
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Calendar of Dalhousie College and University

Dalhousie University - 1889
...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...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...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. Let the straight line AB be divided into two equal parts at C, and into unequal parts at D, then the squares on AD, DB shall be together double of the squares...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 393 sider
...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...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 sider
...sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q : then shall the sum of the sqq. on AQ, QB be twice the sum of the...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...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...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...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...
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Annual Report of the Commissioners ..., Volum 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...
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Annual Report of the Commissioners ..., Volum 65

1899
...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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Calendar, for the Year ...

1899
...(A Pass in this Paper will not count towards the keeplng of a second or third year's terms.) 1. 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...
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