| Edinburgh univ - 1871 - 392 pages
...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...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... | |
| Civil service - 1871 - 258 pages
...given rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the 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... | |
| Euclides - 1871 - 136 pages
...square on the perpendicular. SE 6 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. JD K. S. Let the... | |
| Schools - 1877 - 606 pages
...of the square on the other. 2. 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. Algebra. a'ly'z... | |
| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...squares on the other two sides. (I. 47.) 2. That if a 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 part between the points of section is equal to the square on half the line. (II. 5.) Let A be... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...perpendicular. PROPOSITION V. THEOREM. 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 lection, is equal to the square on half the line. Let the st. line... | |
| Henry Major - Student teachers - 1873 - 592 pages
...square, are likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two **unequal parts ; the rectangle contained by the unequal...section, is equal to the square of half the line. Let** AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then... | |
| Braithwaite Arnett - 1874 - 130 pages
...AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two **unequal parts ; the rectangle contained by the unequal...section, is equal to the square of half the line.** Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the... | |
| Euclides - 1874 - 342 pages
...squares. PROPOSITION 5. — Theorem. 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. Let the straight... | |
| Edward Atkins - 1874 - 424 pages
...squares. Proposition 5. — Theorem. 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 pointg of section, is equal to the square on half the line. Let the straight... | |
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