 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the two parts. 2. If a straight line be divided into two equal and also into... | |
 | Euclides - 1855 - 270 σελίδες
...straight line, their rectangle becomes a square. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. Let the straig-ht line AB be divided into any two parts at С. square... | |
 | 1855 - 264 σελίδες
...two sides of a triangle will be parallel to the third side' 5. If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. 6. In every triangle, the square of the side suhtending either of... | |
 | Euclides - 1856 - 168 σελίδες
...the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB (Fig. 39) be divided into any two parts... | |
 | W F. Richards - 1856 - 198 σελίδες
...of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. 6. In obtuse-angled triangles, if a perpendicular be drawn from either... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...base and between the same parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. 8. Describe a square that shall be equal to a given rectilineal figure.... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...and also bisects the parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and... | |
 | 1858 - 398 σελίδες
...and also bisects the parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and... | |
 | War office - 1858 - 578 σελίδες
...the point of intersection will bisect the vertical angle. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the parts and to twice the rectangle contained by the parts. Explain how a rectangle is represented arithmetically,... | |
 | Euclides - 1858 - 248 σελίδες
...line may be produced to any length in a st. line. DEM. — 4. II. If a st. line be divided into any two parts, the square of the whole line is equal to the square of the two parts, together witb twice the rectangle contained by the parts. Ax. 2. If equals... | |
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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. 
