| Euclid - 1848 - 52 pages
...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 parts, together with twice the rectangle contained by the parts.** COR. From the demonstration, it is manifest, that the parallelograms about the diameter of a square... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...parts, the square of the whole line is equal to the squares of the two parts, together with tvtice **the rectangle contained by the parts. Let the straight...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, CB, that is, AB2=AC2+CB2+2AC.CB.... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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 parts, together with twice the rectangle contained by the parts.** Upon AB describe (i. 46.) the square ADEB, and join BD, and through c draw (i. 31.) CGF parallel to... | |
| Charles Davies - Geometry - 1850 - 218 pages
...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 AB be equivalent... | |
| Charles Davies - Geometry - 1850 - 236 pages
...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 n IT n parts at the point E: then will the square described on AB be equivalent... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...Section 3. 1. If a straight line be divided into any two part» the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained** hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole... | |
| 582 pages
...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 parts, 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 - 314 pages
...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 parts, 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... | |
| Euclides - 1852 - 152 pages
...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 into any two parts in** the point C; the rectangle contained by AB, BC ; together with the rectangle* AB, AC, shall be equal... | |
| Education - 1863 - 818 pages
...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... | |
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