 | John Playfair - Euclid's Elements - 1847 - 340 pages
...the rectangle contained by the whole and that part, together with the square of the other part. L et the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, ar.e equal to twice the rectangle AB.BC, together with the square of AC, or AB2+BC2... | |
 | Euclides - 1848 - 52 pages
...the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole and each...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 contained by the... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...c, and d; then, A(b-\-c+d)=Ab-{-Ac+Ad. PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each,...line. Let the straight line AB be divided into any AQ TS two parts in the point C ; the rectangle AB.BC, — together with the rectangle AB.AC, is equal... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...equivalent 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; the square on AB is equivalent to the squares on AC, CB, together with twice the rectangle contained... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...equal (i. 5.) to the angle ABD, because BA is equal to AD, being aides of a square; wherefore the angle Let the straight line AB be divided into any two parts in c; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...contained by those two sides is a right angle. Section 2. 1. If a right line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts,... | |
 | Education - 1850 - 488 pages
...contained by these two sides is a right angle. SECTION III. 1. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | 1851 - 382 pages
...of its angles equal to a given angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the whole and each of...are together equal to the square of the whole line, ...'.. 4. Illustrate by a diagram the multiplication of 10 1 8 feet 5 inches by 4 feet 7 inches, and... | |
 | Euclides - 1852 - 152 pages
...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; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
 | Euclides - Geometry - 1853 - 334 pages
...into any two parts : then the rectangles contained by the whole line and each of the parts shall be together equal to the square of the whole line. Let...straight line AB "be divided into any two parts in c. Then the rectangle contained by AB, BC together with that contained by AB, AC shall be equal to... | |
| |
IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... 
