 | Euclides - 1840 - 192 σελίδες
...by the parts. F T» PROP. IV. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), the square of the whole line is equal to the squares of the parts, together with twice the rectangle contained by the parts. Upon AB describe the square ACDB ;... | |
 | Euclides - 1840 - 82 σελίδες
...and the several parts of the divided line. PROP. II. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the sum of the rectangles contained by the whole line and each of its parts. ED f B PROP. III. THEOR. If... | |
 | John M'Nevin - 1841 - 300 σελίδες
...and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "If a straight line be divided into any two parts the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts." Thus, let AB be divided into two parts, 6 and 4, the square of the... | |
 | John M'Nevin - 1841 - 300 σελίδες
...and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "If a straight line be divided into any two parts the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts." Thus, let AB be divided into two parts, 6 equal to 6 squared plus... | |
 | Euclides - 1841 - 378 σελίδες
...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...squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C; the... | |
 | Euclides - 1842 - 316 σελίδες
...вc. If therefore a straight line, &c. QED PROP. IV. THEOR. IF a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in c : the... | |
 | John Playfair - 1842 - 332 σελίδες
...members of this equality by c, we shall have ac= PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the... | |
 | Scotland free church, gen. assembly - 1847 - 554 σελίδες
...upon equal bases, and between the same parallels, are equal. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of each of the parts together with twice the rectangle contained by the parts. 5. Equal straight lines... | |
 | James Bates Thomson - 1844 - 266 σελίδες
...AB, the breadth BC, and the depth CO, the expression for the solid contents will be, AB x BC X CO. concise, than in ordinary language. The proposition,...by s; And let it be divided into two parts, a and b. By the supposition, . < s=a-\-b ' . And squaring both sides, s 2 =a 2 + 2aJ+6 2 . That is, s 2 the... | |
 | Euclid - 1845 - 218 σελίδες
...therefore a straight line, &c. QED PROPOSITION IV. THEOB. — If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the... | |
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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. 
