 If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided...  The Elements of Geometry, Symbolically Arranged - Seite 63von Great Britain. Admiralty - 1846Vollansicht - Über dieses Buch
 | Andrew Bell - 1837 - 290 Seiten
...the diiferencc between the squares of half the line and the mean distance. PROPOSITION TIL THEOREM. to twice the rectangle contained by the whole and...together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BO, are equal to... | |
 | Euclides - 1838 - 264 Seiten
...of CB, is equal to the square of CD. Wherefore, if a straight line, Ac. «,in D. PROP. VII. THEOR. If a straight line be divided into any two parts,...together with the square of the other part. Let the straight line AB be divided into any two parts in the point C : the squares of AB, BC shall be equal... | |
 | Euclid - 1838 - 470 Seiten
...of CB, is equal to the square of CD. Wherefore, if a straight line, &c. a. ED PROP. VII. THEOR. Ir a straight line be divided into any two parts, the...together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to... | |
 | Euclides - 1840 - 82 Seiten
...is equal to the square of the line made up of the half and the produced part. DA PROP. VII. THEOR. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line... | |
 | Euclides - 1840 - 192 Seiten
...the produced part. PROP. VII. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), the squares of the whole line and of one of the parts,...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. Upon AB construct the square ACDB ;... | |
 | Euclides - 1841 - 378 Seiten
...equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. *36. 1. a * 43. 1. If a straight line be divided into any two parts,...whole and that part, together with the square of the otherpart. Let the straight line AB be divided into any two parts in the point C; the squares of AB,... | |
 | John Playfair - 1842 - 332 Seiten
...to each member of the equality, we shall have, PROP. VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one...part, together with the square of the other part. L et the straight line AB be divided into any j^_ CB two parts in the point C ; the squares of AB,... | |
 | Euclides - 1842 - 316 Seiten
...is equivalent to the square of C D. Wherefore, if a straight line, &c. QED РRОР. VII. ТНЕОВ, IF a straight line be divided into any two parts : the squares of the whole line, and one of the parts, are equivalent to twice the rectangle contained by the whole and that part, together... | |
 | 1844 - 688 Seiten
...equal to the rectangles contained by the undivided line and the several parts of the divided line. 7. If a straight line be divided into any two parts,...part, together with the square of the other part. 8. If two circles touch one another internally, they shall not have the same centre. 9. Draw a straight... | |
 | John Playfair - 1844 - 338 Seiten
...then, AD=2a+6, and CD=a+6. Now by multiplication, PROP. VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one...part, together with the square of the other part. two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together... | |
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