 | Henry Major - 1876 - Liczba stron: 784
...equal, and one side and an adjacent, angle equal, each to each, they shall be equal in all respects. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Scotland free church - Liczba stron: 134
...equal to one another. Or—Any two angles of a triangle are together less than two right angles. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Elias Loomis - 1877 - Liczba stron: 458
...middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by the parts.... | |
 | Thomas Hunter - 1878 - Liczba stron: 142
...because AB=BD. Therefore AB"=AB. AC+AB.CB. PROPOSITION XVI.—THEOREM. If a straight line be divided into two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle contained by the parts. Let AB be a straight... | |
 | J T. Amner - 1878 - Liczba stron: 226
...that four right-angled triangles of equal area can be drawn having the same hypotenuse. Section 3. 1. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Isaac Sharpless - 1879 - Liczba stron: 282
...and AE-AD+CE; AE = AB.BE=AB.BC; AD-AC.CD = AC.CB, CE= CB\ AB.BC-AC.CB+CB\ Proposition 4. Theorem. — If a straight line be divided into any two parts,...together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe... | |
 | Benjamin Gratz Brown - 1879 - Liczba stron: 68
...arise from this source which maybe developed either numerically or geometrically ; such as that, if a line be divided into any two parts the square of the...together with twice the rectangle contained by the parts. This proposition is one of first consequence, as having furnished the key to the extraction of the... | |
 | W J. Dickinson - 1879 - Liczba stron: 44
...one part may be twice the square on the other part. 4. Define a rectangle and a square. Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | Moffatt and Paige - 1879 - Liczba stron: 378
...square be described upon the semi-diameter of another square; compare the areas of the squares. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Edward Harri Mathews - 1879 - Liczba stron: 94
...EFGH is inscribed, show that the sides of ABCU are equally divided by the points E, F, G and H. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
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IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
