| Education, Higher - 1882 - 498 pages
...between two straight lines not parallel, a straight line which shall be bisected in that point. 15. **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... | |
| College of preceptors - 1882 - 528 pages
...square described on the third side, then the angle contained by the two sides is a right angle. 4. **If a straight line be divided into two equal and also into two unequal parts,** then the rectangle contained by the unequal parts, together with the square on the line between the... | |
| 1882 - 480 pages
...shall be equal in area to a given triangle, and shall have one of its angles equal to a given angle. 5. **If a straight line be divided into two equal, and also into two** nnequal parts, show that the rectangle contained by the unequal parts, together with the square on... | |
| 1886 - 568 pages
...4. Equal triangles on the same base and on the same side of it, are between the same parallels. 5. **If a straight line be divided into two equal, and...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.... | |
| Education - 1883 - 658 pages
...into any two parts at C. Then rcct. AB, BC = reel. AC, BC, together with sq. on BC.— See Prop. 3, 3. **If a straight line be divided into two equal, and also into two unequal, parts, the** sqs. on the two unequal parts are together double of the sq. on half the line, and of the sq. on the... | |
| University of Glasgow - 1883 - 438 pages
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 3. **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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...AB and BC together. PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and alto **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.... | |
| Oxford univ, local exams - 1885 - 358 pages
...alternate angles equal to one another, the two straight lines shall be parallel to one another. 6. **If a straight line be divided into two equal, and...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.... | |
| 1885 - 608 pages
...lines make the alternate angles equal to one another, these two straight lines must be parallel. 3. **If a straight line be divided into two equal and also...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.... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
.../. ([a + b"] + a)2 + b2 = 2 (a + b)2 + 2a2. 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... | |
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