| 1855
...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... | |
| John Playfair - 1855 - 336 páginas
...multiplying both members of this equality by c, we shall have oc^ic+c 2 . PROP. IV. THEOR. If a straight line **be divided into any two parts, the square of the whole line** ts equal to the squares of the two parts, together with twicetke rectangle contained by tin- parts.... | |
| Euclides - 1856
...parts together with 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 the** squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
| Cambridge univ, exam. papers - 1856
...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 - 1856 - 184 páginas
...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... | |
| Great Britain. Parliament. House of Commons - 1858 - 690 páginas
...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 - 12 páginas
...another. Divide a given triangle into four equal parts. 3. "What is a rectangle ? 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, and to twice the rectangle contained by the parts. If the line be bisected,... | |
| 1858
...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. —... | |
| Euclides - 1858
...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
...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.... | |
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