 | Euclides - 1842 - عدد الصفحات: 316
...rectangle AB, BC, 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,...aforesaid part. Let the straight line AB be divided into two parts in the point c : the rectangle AB, вc is equal to the rectangle AC, c B, together with the... | |
 | John Playfair - 1842 - عدد الصفحات: 332
...multiplying both members of this equality by a, we shall have a~=ab+ad FE J o $ DEC K JL B 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... | |
 | 1844 - عدد الصفحات: 688
...squares described 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,...parts, together with the square of the aforesaid part. 7. Describe a square equal to a given rectilineal figure. 8. Find the centre of a circle. 9. If a point... | |
 | Euclid, James Thomson - 1845 - عدد الصفحات: 382
...them, instead of being established by continual appeals to original principles. PROP. III. THEOR. — If a straight line be divided into any two parts,...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 - 1845 - عدد الصفحات: 218
...straight 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,...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.... | |
 | Euclides - 1845 - عدد الصفحات: 546
...is equal to the 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. Then the square of AB shall be equal to the squares of AC, and CB, together with twice the rectangle... | |
 | Euclid, John Playfair - 1846 - عدد الصفحات: 334
...multiplying 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,...aforesaid part. Let the straight line AB be divided into two parts, in the point C ; the B rectangle AB.BC is equal to the rectangle AC.BC, together with BC2.... | |
 | Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...there be two str. lines, &c. PROP. XLII. THEOR. 3 . 2E u. Prop. 10. Prop. 3. Prop. 30. Piop. 33. angle contained by the two parts, together with the square of the aforesaid part. Let the str. line AB be divided into two parts in the pt. C ; then AB. BC = AC. BC + BC". Prop 38 On BC descr.... | |
 | Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...A.BC = A.BD+A.DE+A.EC. Wherefore, if there be two str. lines, &c. PROP. XLII. THEOR. 3. 2 En. angle contained by the two parts, together with the square of the aforesaid part. Let the str. line AB be divided into two parts in the pt. C ; then AB . BC = AC. BC + BC 8 . Prop. 38 . On... | |
 | Euclides - 1846 - عدد الصفحات: 292
...to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point C : the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
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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. 
