 | William Grier - Mechanical engineering - 1836 - 384 pages
...|— , to the , and AD and EF, and AD and FB: thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any... | |
 | Mathematics - 1836 - 488 pages
...rectangle contained by the two parts, together with the square of the foresaid part. IV. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Сок. From the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...any parallelogram, are equal so one another. Which was te be proved. PROP. XX. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...x BC = figures AD + CE, and that these are = AC x CB + CB*. PROPOSITION IV. Theorem. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts together with twice the rectangle contained by the parts. * By the rectangle... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...rectangle contained by ac and c b. M.—Express this truth as a general proposition. P.—If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The master will,... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...to the rectangle AC • CB, together with the square of BC. PROPOSITION TV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...square of BC, together with the rectangle AC.CB. * If, therefore, &c. PROP. IV. THEOR. IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice their rectangle, t Let the straight line AB be divided... | |
 | Euclides - 1840 - 82 pages
...the square of that part, together with the rectangle under the parts. PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the parts, together with twice the rectangle contained by the parts. COR.—Thus it appears... | |
 | Euclides - 1840 - 192 pages
...the divided line. PROP. II. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), the square of the whole line is equal to the sum of the rectangles contained by the whole line and each of its parts. On AB describe the square ACDB a Prop.... | |
 | Euclides - Geometry - 1841 - 378 pages
...CB, together with the square of BC. If therefore a straight, &c. QED PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
