 | Euclides - 1846 - 292 páginas
...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 - 390 páginas
...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 - 52 páginas
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 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 - 316 páginas
...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 - 152 páginas
...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 - 400 páginas
...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 - 146 páginas
...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 - 176 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 - 334 páginas
...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... | |
| |
If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
