| Euclides - 1848
...square of the straight line which is made up of the half and the part produced. PROP. VII. THEOREM. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Euclides, Thomas Tate - 1849 - 108 páginas
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. **If a straight line be divided into any two parts, the squares** of the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and... | |
| Great Britain. Committee on Education - 1850
...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 line and one of the parts are equal to twice the rectangle contained by the whole and... | |
| 1851
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| 1852
...II. — 1. If a straight line be divided into any two parts, the squares of the whole line, and of **one of the parts, are equal to twice the rectangle...the whole and that part, together with the square** of the other part. 2. To describe a square that shall be equal to a given rectilineal figure. 3. If... | |
| Euclides - 1852
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Sir James Kay-Shuttleworth - 1853 - 500 páginas
...right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of **one of the parts, are equal to twice the rectangle...the whole and that part, together with the square** of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both... | |
| Euclides - 1853 - 147 páginas
...— THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line, and of **one of the parts, are equal to twice the rectangle...the whole and that part, together with the square** of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares... | |
| Euclides - 1853
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOREM. **If a straight line be divided into any two parts, the squares** of the whole line and of one of the parts, are equal to twice the rectangle contained by tke whole... | |
| Sir James Kay-Shuttleworth - 1853 - 500 páginas
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
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