| Euclides - 1874
...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 by the parts.** Let the straight line AB be divided into any two parts in C ; then shall the square on the whole line... | |
| Euclides - 1874
...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 by the parts.** Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to... | |
| Robert Potts - 1876 - 403 sider
...or a* = m* + 2nn + n*. That is, if a number be divided into any two parts, the square of the number **is equal to the squares of the two parts together with twice the** product of the two parts. From Euc. n. 4, may be deduced a proof of Euc. i. 47. In the fig. take DL... | |
| Edward Atkins - 1876 - 119 sider
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on **the two parts, together with twice the rectangle contained by the parts.** Let the straight lino AB be divided into any two parts in C ; The square On AB shall be equal to the... | |
| Richard Wormell - 1876
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on **the two parts, together with twice the rectangle contained by the parts.** Let А В be divided into two parts in С ; then the square on А В = the sum of the squares on А... | |
| Francis Cuthbertson (geometer.) - 1876
...straight line be divided into any two parts, the square on the whole line will be equal to the squares on **the two parts, together with twice the rectangle contained by the parts.** _& s: nr JS Let the straight line PQ be divided into any two parts in C. Then shall the square on PQ... | |
| Henry Major - 1876
...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 by the parts.** 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
| Scotland free church
...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 by the parts.** 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe... | |
| Benjamin Gratz Brown - 1879 - 48 sider
...numerically or geometrically ; such as that, if a line be divided into any two parts the square of **the whole line is equal to the squares of the two...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... | |
| Isaac Sharpless - 1879 - 266 sider
...AB.BC-AC.CB+CB\ Proposition 4. Theorem. — If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...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... | |
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