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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 75
por Euclid, John Playfair - 1826 - 320 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 páginas
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 800 páginas
...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...
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New Series of The Mathematical Repository, Volumen4

Thomas Leybourn - 1819 - 430 páginas
...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...
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New Series of The Mathematical Repository, Volumen4

Thomas Leybourn - 1819 - 430 páginas
...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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The Mathematical Repository, Volumen4

1819 - 408 páginas
...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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