 | 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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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. 
