 | Euclides - 1842 - 316 pages
...is equal to the square of A B. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts, the rectangle...rectangle 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by tke whole and one of the parts, is 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 two parts, in the point C ;... | |
 | Education - 1844 - 688 pages
...upon the other two sides of it, the angle contained by these two is a right angle. 6. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the aforesaid part. 7. Describe a square equal to a given rectilineal figure. 8. Find the... | |
 | Euclides - 1845 - 546 pages
...to the square of AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle...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 the point C.... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...being established by continual appeals to original principles. PROP. III. THEOR. — If a straight line be divided into any two parts, the rectangle...by the whole and one of the parts, is equal to the square of that part, together with the rectangle contained by the two parts. Let the straight line... | |
 | Euclid - Geometry - 1845 - 218 pages
...line, &c. QED CB FE BOOK II. PROP. m. IV. • 46. 1. t 31. 1. PROPOSITION III. THEOK. — If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, w equal to the rectangle contained by the two parts, together with the square of the aforesaid part.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...both members of this equality by a, we shall have as=ab+ad FE K JL H PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle...rectangle 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 ;... | |
 | Euclides - 1846 - 292 pages
...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, the rectangle...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 the point C... | |
 | Euclides - 1848 - 52 pages
...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, the rectangle...rectangle 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,... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...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, the rectangle...rectangle 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... | |
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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. 
