 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...equal parts and also two unequal parts, the squares on the unequal parts shall together be = twice the squares on half the line and on the line between the points of section. Let AH be divided into two equal parts in C, and into two unequal parts in D; then... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...straight line is divided internally or externally at any point, the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line. SECTION 2. PROBLEMS. PROB. i. To construct a parallelogram... | |
 | James Maurice Wilson - 1878 - 450 pages
...straight line is divided internally or externally at any point, the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line*. Let AB be bisected in C, and divided internally... | |
 | George Shoobridge Carr - Mathematics - 1880
...segments, then — II. 5 and 6. — The rectangle of the unequal segments is equal to the difference of the squares on half the line, and on the line between the points of section; or (a-fi) (a — V) = a1 — 6s. II. 9 and 10. — The squares on the same unequal... | |
 | Marianne Nops - 1882 - 278 pages
...into two equal and also into two unequal parts, the squares on the unequal parts are together double of the squares on half the line, and on the line between the points of section. Sqq. on AD, DB = twice sqq. on AC, CD. C. Cor. Four times the rectangle contained... | |
 | Mathematical association - 1883 - 86 pages
...straight line is divided internally or externally at any point, the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line. SECTION. 2. PROBLEMS. PROB. 1. To construct a parallelogram... | |
 | Euclides - 1883 - 176 pages
...unequally, internally or externally, the sum of the squares on the unequal segments will be double of the sum of the squares on half the line and on the line between the points of section. CD c B A ' ' BA ! * D Let AB be bisected at C, and cut unequally at D. To prove... | |
 | Euclides - 1884 - 434 pages
...equal, and also internally into two unequal segments, the sum of the squares on the two unequal segments is double the sum of the squares on half the line and on the line between the points of section. A CD B Let AB be divided into two equal segments AC, CB, and also internally into... | |
 | Mathematical association - 1884 - 146 pages
...straight line is divided internally or externally at any point, the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line. Let the straight line AB be bisected at C and divided... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...internally or externally at any point, the rectangle contained by the segments is equal to the difference of the squares on half the line and on the line between the point of division and the middle point of the line. Ex. 17. Give the algebraical formula corresponding... | |
| |
... the sum of the squares on half the line and on the line between the points of section*. 
