 | 1851
...by those two sides is a right angle, . . 3. If a straight line be divided into any two parts, _ 20 2 the square of the whole line is equal to the squares of the two parts, together with twice their rectangle, 4. In any plane triangle the sides are to each 21 other as what ? Demonstrate this... | |
 | Euclides - 1852 - 152 pages
...(squared or) multiplied by 7 is equal to 49. These added together make up 84.] BOOK n. PEOP. IV. THEOE. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts, Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
 | Education - 1863 - 818 pages
...between the first and second shall be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination. 6.... | |
 | Euclides - 1853 - 146 pages
...AC, CB, together with the square of BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together with the square of BC. If therefore a straight line, etc. QE n. PROPOSITION IV. THEOR. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares... | |
 | Euclides - 1853 - 176 pages
...lines ab, ас is sometimes simply called the rectangle ab, ac. Я PROPOSITION IV. — THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight line... | |
 | Euclides - Geometry - 1853 - 334 pages
...THEOE. If a straight line be divided into any two parts: then the square of the whole line shall be equal to the squares of the two parts together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts AC, CB in c. Then the square of AB... | |
 | Allan Menzies - 1854 - 520 pages
...Euclid's general reasoning, and point out the part of your demonstration in which it is evaded. 3. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. A modification of what you have here proved constitutes the rule for the extraction of the square root.... | |
 | Upper Canada. Chief Superintendent of Schools - Education - 1854 - 196 pages
...required in the demonstrations of the 7th, 27th, 32nd and 48th prop, of the 1st book of Euclid. . 3. If a straight line be divided into any two parts, the...the squares of the two parts, together with twice their rectangle. 4. If a straight line be divided into two equal and also into two unequal parts ;... | |
 | William Somerville Orr - Science - 1854 - 532 pages
...THEOREM. If a straight line (AB) be divided into any two parts (А С, С В) the square of the wlak line is equal to the squares of the two parts, together with twice the rectangle contained by the parts : that is, А В1 = А С* + С Вг + twice А ОС В. * 46 I. Upon А В describe the square AE... | |
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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. 
