 | Charles Hutton - Mathematics - 1822 - 616 pages
....-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of the whole line and each of the parts. THEOREM XXXI. THE Square of the... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of the whole line and each of the parts. • THEOREM XXXI. THE Square... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...and FB : thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.»— (Fig. 26.) If a right line be divided into any two parts, the square on 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...BC. If therefore a straight line be divided, &c. QED PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. let... | |
 | Euclides - 1860 - 288 pages
...square on BC, together with the rectangle AC • CB. PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the... | |
 | War office - 1861 - 714 pages
...it are either two right angles or are together equal to two right angles. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the angle which is contained by the two sides, equal to them, of the other. 10. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.... | |
 | Euclides - 1864 - 262 pages
...BC. < If therefore a straight line be divided, &c. QED PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...equal to the sum of all the other rectangles AD . AE, AD . EF, AD . FB. QEQ Corol. It, a right line be divided into any two parts, the square on the whole line is equal to both the rectangles of the whole line and each of the parts. THEOREM XXXI. The square of the... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...Equivalent triangles on equal bases will be ot equal altitude ......... 59 THEOREM 25. If a straight line is divided into any two parts, the' square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts 60 THEOREM... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
