| Richard Anthony Proctor - Geometry - 1887 - 202 pages
...contained by the parts together with the square on the other part. Prop. 5 should be established thus : — **Let the straight line AB be divided into two equal parts in** C, and into two unequal parts in D ; then the rectangle AD, DB, together with the square on CD, shall... | |
| Canada. Department of the Interior - 1888 - 756 pages
...parallel to each other. 3. Show that 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. 4. Show that in... | |
| Dalhousie University - 1889 - 220 pages
...a straight line be divided into two equal and also into two unequal parts, the rectangle of the two **unequal parts together with the square of the line...of section is equal to the square of half the line.** 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...shall be double of the triangle. 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** on the line between the points of section, is equal to the square on half the line. If any point D... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...sqs. on AC, CB. PROPOSITION 5. 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 AB be bisected... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...proof must be geometrical^ 1. 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. 2. In obtuse-angled... | |
| Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...sides is a right angle. 7. If a straight line be divided into two equal parts, and 11 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. 8. In obtuse-angled... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...into two equal and also into two unequal parts, the rectangle of the unequal parts with the square on **the line between the points of section, is equal to the square** on half the line. (Euclid, B. II, prop. 5). 49. The square on the straight line, drawn from the vertex... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...contained by the two parts. 5. 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. 6. If a straight... | |
| James Blaikie - 1892 - 74 pages
...rectangle contained by the parts. 5. 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, shall be equal to the square on half the line. 6. If a straight... | |
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