| CHARLES DAVIS, L.L. D. - 1850
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts.** Let the line AB be divided into two -^ HC parts at the point E : then will the square described on... | |
| ...to the square of the other part. 2. 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 parts.** In what sense is the area of a triangle said to be equal to half the product of tils base and altitude?... | |
| 1852
...Riven rectilineal angle. SECTION II. 1. 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** paits. 2. If a straight line be divided into two equal and also into two unequal parts, the squares... | |
| 1851
...sides is a right angle, . . 3. If a straight line be divided into any two parts, _ 20 2 the square of **the whole line is equal to the squares of the two parts, together with twice** their rectangle, 4. In any plane triangle the sides are to each 21 other as what ? Demonstrate this... | |
| Euclides - 1852
...make up 84.] BOOK n. PEOP. IV. THEOE. 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 parts,** Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
| 1863
...straight line be divided into any two parts, the square of the whole line is equal to the squares on **the two parts, together with twice the rectangle contained by the parts.** Entrance Examination. 6. Describe a square that shall be equal to a given triangle. 7. (a) Equal chords... | |
| Royal Military Academy, Woolwich - 1853
...line, etc. QE n. PROPOSITION IV. THEOR. 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 parts.** Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares... | |
| Euclides - 1853
...straight line, &c. QED PROP. IV. 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 parts.** 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
| Euclides - 1853
...THEOE. If a straight line be divided into any two parts: then the square of the whole line shall be **equal to the squares of the two parts together with twice the rectangle contained by the** two parts. Let the straight line AB be divided into any two parts AC, CB in c. Then the square of AB... | |
| Allan Menzies - 1854
...demonstration in which it is evaded. 3. 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 parts.** A modification of what you have here proved constitutes the rule for the extraction of the square root.... | |
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