| Dalhousie University - 1886 - 216 pages
...other and the angles included by the sides supplementary, the triangles shall be equal in area. 2. If a **line be divided into two equal and also into two unequal parts, the** rectangle contained by the two latter, together with the square of the line between the points of section,... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...2a*, ([« + £] + a)* + £* = 2(a + b)* + W. Therefore If a sect be divided into two equal and also **two unequal parts, the squares on the two unequal parts are together** double the squares on half the sect and on the line between the points of section. 302. By 294, and... | |
| Richard Anthony Proctor - Geometry - 1887 - 202 pages
...the rectangle ABCD is equal to twice the triangle AEF together with the rectangle BE, DF. 231. If a **line be divided into two equal and also into two unequal parts, the squares** of the two unequal parts are together equal to twice the rectangle contained by these parts together... | |
| Canada. Department of the Interior - 1888 - 756 pages
...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...the squares on the two unequal parts are together** doable of the square on half the line together with the square on the line between the points of section.... | |
| University College, Dundee - 1889 - 358 pages
...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... | |
| Dalhousie University - 1889 - 220 pages
...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... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...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... | |
| 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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...congruent with the square. PROPOSITION 9. THEOREM. If a straight line be divided into two equal and **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.... | |
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