 | Robert Simson - 1806 - 546 σελίδες
...CB is equal to BD, and that CB is equal » to GK, and BD to KN ; therefore GK is »34. 1. PROP. VI. THEOR. 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... | |
 | Euclid - 1810 - 554 σελίδες
...rectangle contained by their sum and difference. a46.1. b31. 1. c 36.1. d43.1. THE ELEMENTS PROP. VI. THEOR. 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... | |
 | John Mason Good - 1813 - 714 σελίδες
...double of the square of half the line, and of the square of the line between the points of section. Prop. X. Theor. If a straight line be bisected, and produced to any point, the square of tht; whole line thus produced, and the square of the part of it produced, are together double of the... | |
 | Euclides - 1814 - 560 σελίδες
...therefore the squares of AD, DB are double of the squares of AC, CD. If therefore a straight line, &c. QED PROP. X. THEOR. IF a straight line be bisected, and...and of the square of the line made up of the half and the part produced. •ui From the point C. draw3 CE at right angles to AB : And make it equal to... | |
 | John Playfair - 1819 - 354 σελίδες
...therefore " taking away the equal rectangles 2BC.CD and 2AC.CD, there re» mains AD-+DB : '=2ACs+2CD 2 ." PROP. X. THEOR. If a straight line be bisected, and...line bisected, and of the square of the line made up oftlie half and the part produced. Let the straight line AB be bisected in C, and produced to the point... | |
 | John Playfair - 1819 - 350 σελίδες
...therefore " taking away the equal rectangles 2BC.CD and 2AC.CD, there re" mains AD3 + DB 3 =2AC 3 +2CD 3 ." PROP. X. THEOR. If a straight line be bisected, and...line bisected, and of the square of the line made tip of the half and the part produced. Let the straight line AB be bisected in C, and produced to the... | |
 | John Mason Good - 1819 - 800 σελίδες
...double of the square of half the line, »na of tfc square nf the line between the points of section. Prop. X. Theor. If a straight line be bisected, and produced to any point, the square of the wholi line thus produced, and the square of tlir part ot it produced, are together double of toe square... | |
 | Thomas Leybourn - 1819 - 430 σελίδες
...is ii|f ? 4. If one side of a triangle be bisected, the sum of the squares of the other two sides is double of the square of half the line bisected, and of the square of the line drawn from the point of bisection to the opposite angle. 3. Required to exprese the sum of the alternate... | |
 | Thomas Leybourn - 1819 - 430 σελίδες
...second. 4. If one side of a triangle be bisected, the sum of the squarci of the other two sides is double of the square of half the line bisected, and of the square of the line drawn from the point of bisection to the opposite angle. 6. Given the figure of an ellipse, find practically... | |
 | 1819 - 408 σελίδες
...second. 4. If one side of a triangle be bisected, the sum of the squarci of the other two sides is double of the square of half the line bisected, and of the square of the line drawn from the point of bisection to the opposite angle. 6. Given the figure of an ellipse, find practically... | |
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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 double of the square of half the line bisected, and of the square of the line... 
