 | 1855 - 424 pages
...than in ordinary language. The proposition, (Euclid 4, 2,) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by squaring... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...Parallelograms on the same 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 the squares of the two parts, together with twice the rectangle contained by the parts. 8. Describe a square... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall be equal to the sum of the squares of the parts, together with twice the rectangle contained... | |
 | Euclides - 1856 - 168 pages
...Cor. 1. — By making A equal to the whole line considered as divided into two parts, it appears that if a straight line be divided into any two parts, the square of the whole liriiHs equal to the sum of the rectangles contained by the whole line and each of the parts. Cor.... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...the sides is bisected in that point, 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 the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. —... | |
 | 1858 - 398 pages
...the sides is bisected in that point, 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 the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. —... | |
 | War office - 1858 - 578 pages
...square. Describe a square on a given straight line. What is Euclid's corollary to this proposition ? 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 parts, together with twice the rectangle contained by the parts. 4. What is the... | |
 | Euclides - 1858 - 248 pages
...parallelogram which are about the diameter of any parallelogram, are equal to one another. 4. II. If a st. line be divided into any two parts, the square of the whole line equals the square of the two parts together with twice the rectangle contained by the parts. Def. 30.... | |
 | Euclides - 1858 - 136 pages
...I, Ax. 1. Hyp. Cone. •ui Con e. Def. 1.1 1. .in. I. \x. I. BOOK II. 85 PROP. IV. THEOII. If a st. line be divided into any two parts, the square of the whole line equals the squares of the two parts, together with twice the rectangle contained by the parts. CоN.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...extremity of the base equal to one another, and likewise those terminated in the other extremity. 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. VOLUNTARY PORTION.... | |
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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. 
