 If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.  The Element of Geometry - Page 25by John Playfair - 1836 - 114 pagesFull view - About this book
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the line between the points of section, is equal... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...be divided into two equal parts, and aha into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in (7, and... | |
 | Robert Potts - 1868 - 434 pages
...2am + m*. Hence by adding these equals, .'. {a + my + (a- m)3 = 2a' + 2m*. That is, If a number be divided into two equal parts, and also into two unequal parts, the sum of the squares of the two unequal parts is equal to twice the square of half the number itself,... | |
 | 1868 - 344 pages
...areas are represented by the product of two numerical symbols. SECTION VI. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectal gle contained by the unequal parts, together with the square of the line between the points... | |
 | Euclides - 1870 - 270 pages
...2 and 3 ; 3. I. 10. I. To bisect a given finite st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two unequal...rectangle contained by the unequal parts together with the squai e of the line between the points of section, equals the square of half the line. Def. 15 and... | |
 | Civil service - 1871 - 264 pages
...be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two unequal...section, is equal to the square of half the line. 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by... | |
 | Edinburgh univ - 1871 - 392 pages
...of the other. A complete demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one... | |
 | Schools - 1877 - 604 pages
...so that the square on one part shall be double of the square on the other. 2. If a straight line be divided into two equal parts, and also into two unequal...contained by the unequal parts, together with the square on. the line between the points of section, is equal to the square on half the line. Algebra. a'ly'z... | |
 | Euclides - 1871 - 136 pages
...by the segments of the base, is equal to the square on the perpendicular. SE 6 If a straight line be divided into two equal parts and also into two unequal...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. JD K. S. Let the... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal...contained by the unequal parts, together with the square on the line between the points of lection, is equal to the square on half the line. Let the st. line... | |
| |
