 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 - Seite 25von John Playfair - 1836 - 114 SeitenVollansicht - Über dieses Buch
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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 - 1868 - 276 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
 | 1877 - 604 Seiten
...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 Seiten
...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 - 1872 - 376 Seiten
...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... | |
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