 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.  Science Examinations ... Reports, Etc - Page 2711904Full view - About this book
 | Euclides - 1879 - 146 pages
...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...points of section, is equal to the square on half the lint. Let AB be divided into two equal parts at C, and into two unequal parts at D. Then rect. AD,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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. n . -n .-. A CDS unequally at D, then i iii If AB be divided equally at C and Describe... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...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. The difference between the squares on any two straight lines is equal to the rectangle... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...that of DBC. 4. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. If О be any point on the base BC (or that base produced) of the isosceles triangle ABC, the difference... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...one another. 3. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...through A. "• 3. If a straight Hue be divided into two equal parts and also into two unequal parts, the rectangle Contained by the unequal parts, together...section, is equal to the square on half the line. Prove that the area of a square is greater than the area of a rectangle of the same perimeter. 4. Describe... | |
 | Education Ministry of - 1880 - 238 pages
...SECTION IV. 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...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through... | |
 | Elizabethan club - 1880 - 156 pages
...squares on PB and PD. 5. If a straight line be divided into two equal parts, and also two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. If O be a point in the base BC (or BC produced) of the isosceles triangle ABC, the difference of the... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together...square on the line between the points of section, is equalto the square on halftheline. Let the straight line AB be divided into two equal parts at the... | |
 | Bombay city, univ - 1880 - 754 pages
...parts, the rectangle contained by the unequal parts, together with the square on the line Ijetween the points of section, is equal to the square on half the line. Deduce that the rectangle contained by the sum and difference of two lines is equal to the difference... | |
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