 | Euclides - 1848 - 52 σελίδες
...together with the square of the aforesaid part. 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. COR. From the demonstration, it is manifest, that the parallelograms... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...square of BC. If therefore a straight, &c. QED PROP. IV. THEOR. 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. Upon AB describe (i. 46.) the square ADEB, and join BD, and through... | |
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...sides which contain the right angle. Section 3. 1. If a straight line be divided into any two part» the square of the whole line is equal to 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... | |
 | Great Britain. Committee on Education - 1850 - 942 σελίδες
...alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square of the whole line is equal to the squares of the parts, and twice the rectangle contained by the parts. — Show the same Algebraically. 4. Prove tluit... | |
 | 1852 - 316 σελίδες
...its angles equal to * Riven rectilineal angle. SECTION II. 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 paits. 2. If a straight line be divided into two equal and also into two... | |
 | 1867 - 336 σελίδες
...undivided line, and tho several parts of the divided line. 2. If a straight line be divided into any t»o 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. Prove geometrically that the sum of the squares of two lines cannot... | |
 | 1851 - 382 σελίδες
...by those two sides is a right angle, . . 3. If a straight line be divided into any two parts, _ 20 2 the square of the whole line is equal to the squares of the two parts, together with twice their rectangle, 4. In any plane triangle the sides are to each 21 other as what ? Demonstrate this... | |
 | University of Durham - 1851 - 222 σελίδες
...upon the same side of it are between the same parallels. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the square of the parts together with twice the rectangle contained by the parts. 5. To divide a given... | |
 | Euclides - 1852 - 152 σελίδες
...49. These added together make up 84.] BOOK n. PEOP. IV. THEOE. 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 be divided into any two parts in C; the... | |
 | 1863 - 830 σελίδες
...be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination. 6.... | |
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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. 
