| CHARLES DAVIS, L.L. D. - 1850
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts. Let the** line AB be divided into two -^ HC parts at the point E : then will the square described on AB be equivalent... | |
| Charles Davies - 1850 - عدد الصفحات: 216
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts. . Let the** line AB be divided into two n IT n parts at the point E: then will the square described on AB be equivalent... | |
| ...contained by the whole and one of the parts, shall be equal to the square of the other part. 2. If **a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts.** In what sense is the area of a triangle said to be equal to half the product of tils base and altitude?... | |
| 1852
...a given triangle, and have one of its angles equal to * Riven rectilineal angle. SECTION II. 1. If **a straight line be divided into any two parts, the...together with twice the rectangle contained by the** paits. 2. If a straight line be divided into two equal and also into two unequal parts, the squares... | |
| ...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...together with twice the rectangle contained by the parts.** Prove geometrically that the sum of the squares of two lines cannot be less than twice their rectangle.... | |
| 77 - 1851
...Equal triangles upon the same base and 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... | |
| 1851
...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... | |
| ...between the first and second shall 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.... | |
| Euclides - 1852
...rectangles contained by the whole and each of the parts are together equal to the square of the whole line. **Let the straight line AB be divided into any two parts in** the point C; the rectangle contained by AB, BC ; together with the rectangle* AB, AC, shall be equal... | |
| Euclides - 1853
...AC, CB, together with the square of BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If **a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts.** 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
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