| Henry Major
...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
...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 - 443 páginas
...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 - 132 páginas
...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
...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 - 266 páginas
...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 - 48 páginas
...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 - 36 páginas
...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
...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
...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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