| College of preceptors - 1882
...holds if the figures are on equal bases in the same straight line. 5. Define a rectangle and a square. **If a straight line be divided into any two parts, the square** described on the whole line is equal the sum of the squares on the two parts increased by twice the... | |
| Isaac Sharpless - 1882 - 266 páginas
...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; then AB.AC+AB.CE=AB\ On- AB describe (I. 41) the square AE, and draw (I. 29) through C,... | |
| Euclides, James Hamblin Smith - 1883
...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** st. line AB be divided into any two parts in C. Then must sq. on AB=sum of sqq. on AC, CB and twice... | |
| Euclid, Isaac Todhunter - 1883 - 400 páginas
...line is equal to the squares on the two parts, together with twice the rectangle contained by the two **parts. Let the straight line AB be divided into any two parts** at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle... | |
| Richard Wormell - 1883 - 192 páginas
...• CD ; Twice rect. II., „ rect. A С • DB ; And twice rect. III., „ rect. С D • D B. 103. **If a straight line be divided into any two parts, the square** on the whole line and one of the parts is equal to four times the rectangle contained by the whole... | |
| Euclides - 1883 - 96 páginas
...corollaries to that proposition. Ex. 1. Prove //. 2 and 3 by means of figures as in //. 1. PROP. 4. THEOR. **If a 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... | |
| Joseph Hughes - 1883
...geometrical proposition which corresponds with the algebraical identity (j: + yf = ¿ + y* + 2 л-у. **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... | |
| Stewart W. and co - 1884
...therefore the rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. IV. — **If a straight line be divided into any two parts,...together with twice the rectangle contained by the** "tarts. *Let AB be divided into any two parts in C ; then the square of AB shall be equal to the squares... | |
| Stewart W. and co - 1884
...KLHS is equal to equilateral triangle KLO, and it has an angle KLM which is common to both. QEF 8. (a) **If a straight line be divided into any two parts the square** on the whole line is equal to the squares on two parts, together with twice the rectangle contained... | |
| James Gow - 1884 - 323 páginas
...learn the process from Euclid II. 4, where it is stated : ' If a straight line be divided at any point, **the square of the whole line is equal to the squares of** both the segments together with twice the rectangle contained by the segments.' So, with a number like... | |
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