 | 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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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 of the line between the points of section, is equal to the square of half the line. 
