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 Cambridge Examiner - Page 1211884Full view - About this book
| Euclides - 1870 - 270 pages
...&c. Psts. 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...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... | |
| Cambridge univ, exam. papers - 1870 - 272 pages
...half the line and of the square on the line between the points of section. The square on half the line together with the square on the line between the points of section and the rectangle contained by the parts is equal to half the square on the line. 3. In equal circles,... | |
| Schools - 1877 - 604 pages
...line into two parts, 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,...section, is equal to the square on half the line. Algebra. a'ly'z - at'yz* x- + •tx + 2 i. Reduce to lowest terms - , . „ — and — . — ~ —... | |
| Euclides - 1871 - 136 pages
...rectangle, contained 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...section, is equal to the square on half the line. JD K. S. Let the st. Hue AB be divided equally in C and unequally inZ>. Then must rect. AD, DB together... | |
| Civil service - 1871 - 264 pages
...Can a rectangle always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 5. Draw a straight... | |
| 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 by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Prove this also... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...contained by the segments of the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts...with the square on the line between the points of lection, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally... | |
| Moffatt and Paige - 1883 - 602 pages
...that the parallelograms about the diameter of a square are likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts...together with the square on the line between the points oj section, is equal to the square on half the line. Let the straight line AB be divided into two equal... | |
| Joseph Hughes - Education - 1883 - 568 pages
...Questions, including (if possible) Q. 2. [All generally understood abbreviations for mordí maybe usedj I. If a straight line be divided into two equal parts,...parts, together with the square on the line between the pouils of section, is equal to the square on half the line. Prop. V., Bk. II. THE PRACTICAL TEACHER.... | |
| Education - 1883 - 654 pages
...Questions, including (if possible) Q. 2, [All generally understood abbreviations for words may be used] I. If a straight line be divided into two equal parts,...parts, together with the square on the line between the poiiits of section, is equal to the square on half the line. Prop. V., Bk. II. THE PRACTICAL TEACHER.... | |
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