| Euclides - 1846
...rectangle AB, BC, is equal to the square of AB. Wherefore, If a straight line Sjc. QED PROP. III. THEOR. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part, Let the straight line AB be divided into any two parts in the point C : the... | |
| J. Goodall, W. Hammond - 1848
...two sides of it, the angle contained by these two sides is a right angle. Section 3. 1. Prove that **if a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. 2. Prove that if a straight line be divided into two equal and also two unequal... | |
| Euclides - 1848
...whole and each of the parts, are together equal to the square of the whole line. PROP. III. THEOREM. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square... | |
| Euclides, Thomas Tate - 1849 - 108 páginas
...contained by two straight lines AB, AC is sometimes simply called the rectangle AB, AC. PROP. III. THEOR. **If a straight line be divided into any two parts,...contained by the whole and one of the parts is equal** with the rectangle contained by the two parts, together with the square of the aforesaid part. Let... | |
| 1852
...the right angle, is equal to the squares described upon the sides which contain the right angle. III. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. following sentence, shewing the variou» clauses, &c. :— " Not to do your... | |
| Euclides - 1852
...equal to the two numbers multiplied together.] 90 BOOK II. • xlvi. 1. THE ELEMENTS PROP. III. THEOR. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. Let the straight line AB be divided into two parts in the point C; the rectangle... | |
| Royal Military Academy, Woolwich - 1853
...AB, BC, is equal to the square of AB. If therefore a straight line, etc. QED PROPOSITION III. THEOR. **If a straight line be divided into any two parts,...the rectangle contained by the two parts, together** loith the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
| Euclides - 1853
...AB, BC, is equal to the square of AB. If, therefore, a straight line, &c. QED PROP. III. — THEOREM. **If a straight line be divided into any two parts,...the rectangle contained by the two parts, together** mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
| Euclides - 1853 - 147 páginas
...the square of ab. If QED df therefore a straight line, &c. PROPOSITION III. — THEOREM. If a slraigM **line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with** tlie square of the aforesaid part. LET the straight line ab be divided into any two parts in the point... | |
| Euclides - 1853
...into any two parts : then the rectangle contained by the whole line and one of the parts, shall be **equal to the rectangle contained by the two parts together with the square** of the aforesaid part. Let the straight line AB be divided into any two parts in c. Then. the rectangle... | |
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