 | Euclides - 1842 - 316 páginas
...are equivalent to double the squares of AC, CD. If therefore a straight line, &c. QED PROP. X. THEOR. IF a straight line be bisected, and produced to any point • the square of the whole line thus produced, and the square of the part of it produced, are together equivalent... | |
 | Euclid, James Thomson - 1845 - 382 páginas
...these equals together, and from the suras take 2 AC.CD : then '=2 A(J2-(-2 CD2. PROP. X. THEOR. — If a straight line be bisected, and produced to any point, the squares of the whole line thus produced, and of the part of it produced, are together double of the... | |
 | Euclides - 1845 - 546 páginas
...of the squares of AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION X. THEOREM. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... | |
 | Euclid - 1845 - 218 páginas
...are double of the squares of AC, CD. If therefore a straight line, &c. QED PROPOSITION X. THEOB. — If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...CD2=(AC+CD) (AC — " CD)." SCHOLIUM. X £ / it M r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...be + (a — &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; the rectangle contained by the whole line...half the line bisected, is equal to the square of the straight line which is made up of the half line and the part produced. Let the str. line AB be bisected... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...straight line be bisected, and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. any point; the rectangle contained by the whole line...half the line bisected, is equal to the square of the straight line which is made up of the half line and the part produced. Let the str. line AB be bisected... | |
 | Euclides - 1846 - 292 páginas
...are together double of the squares of AC, CD. Wherefore, If a straight line Ssc. QED PROP. X. THEOR. If a, straight line be bisected and produced to any point, the squares of the whole line thus produced and of the part of it produced are together double of the square... | |
 | John Playfair - 1847 - 340 páginas
...difference of two quantities, is equivalent to the difference of their squares E PROP. VI THEOR. Ifastfaight line be bisected, and produced to any point ; the...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclides - 1848 - 52 páginas
...square of half the line, and of the square of the line between the points of section. PROP. X. THEOREM. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... | |
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If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is... 
