 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...produced to B, AB and CB are called the external sesrments of AC. PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parti together with tucice the rectangle contained by the parts. A cr B X Tt... | |
 | Francis Cuthbertson - 1874 - 400 pàgines
...Theorems in Proposition II. may be established independently as follows :— THEOREM (a). If a straight line be divided into any two parts, the square on the whole line is' equal to the squares on the parts together with twice the rectangle contained by the parts. If Let the straight... | |
 | Euclides - 1874 - 342 pàgines
...square on BC. If therefore a straight line be divided, &c. QED PROPOSITION 4. — Theorem. 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 by the parts. Let the straight... | |
 | Edward Atkins - 1874 - 426 pàgines
...rectangle AC, CB. Therefore, if a straight line, <fec. QED Proposition 4. — Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts.... | |
 | Euclides - 1874 - 120 pàgines
...equal to the rectangle AC, CB together with the square on AC. PROPOSITION 4. THEOREM. 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 by the rts. Let the straight... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pàgines
...square on CB, is equal to the square on CD. QED PROP. VII.— THEOKEM. (Euc. II. 7.) If a, straight line be divided into any two parts, the square on the whole line, together with the square on one of the parts, is equal to twice the rcctangle contained by the whole... | |
 | Education Department,London - 1876 - 1010 pàgines
...angled trianglc.-s of equal area can be drawn having the same hypotenuse. SECTION III. 1. 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 by the two parts. The rectangle... | |
 | Henry Major - 1876 - 784 pàgines
...in June, 1780, and June, 1880. Write an essay on holidays, and how to spend them. 1. 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 by the parts. 1. Find the... | |
 | 1876 - 700 pàgines
...squares described upon the sides which contain the right angle. 4. Proposition IV, Book II. 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 by the two parts. FIRST DIVISION.... | |
 | Edward Atkins - 1876 - 130 pàgines
...the rectangle AC, CB. Therefore, if a straight line, &c. QED Proposition 4.— Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts.... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
