| University College, Dundee - 1889 - 358 pages
...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... | |
| Dalhousie University - 1889 - 220 pages
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...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... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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 - Geometry - 1892 - 460 pages
...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... | |
| Henry Martyn Taylor - 1893 - 486 pages
...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... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...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... | |
| 1898 - 830 pages
...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... | |
| 1899 - 972 pages
...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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