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" 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 made up of the... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 122
بواسطة University of Cambridge - 1821 - عدد الصفحات: 425
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - عدد الصفحات: 546
...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 made up of the half and the part produced. Let the straight line AB be bisected in C, and produced...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - عدد الصفحات: 320
...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 made up of the half and the part produced. Let the suaight line AB be bisected in C, and produced to...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 5

John Mason Good - 1813 - عدد الصفحات: 714
...the square of tht; 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 made up of the half and the part produced. Prop. XI. Prob. To divide a given straight line into two...

An Easy Introduction to the Mathematics: In which the Theory and ..., المجلد 2

Charles Butler - 1814 - عدد الصفحات: 528
...bisected, the sum of the squares of the two remaining sides is double the square of half th,e side bisected, and of the square of the line drawn from the point of bisection to the opposite angle. Let ABC be a triangle, having BC bisected in D, and DA drawn from D to the opposite angle A; then will...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - عدد الصفحات: 588
...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 made up of the half and the part produced. Let the straight line AB be bisected in C and produced to...

New Series of The Mathematical Repository, المجلد 4

Thomas Leybourn - 1819 - عدد الصفحات: 430
...177 and 2982. 3. Required to exprese the sum of the alternate terms of a binomial raised to the m"1 power, beginning with the second. 4. If one side of...Given the figure of an ellipse, find practically its centre and its foci. 7. In an ellipse, if the line / о г be drawn parallel to the axis minor BCD,...

New Series of The Mathematical Repository, المجلد 4

Thomas Leybourn - 1819 - عدد الصفحات: 430
...power, beginning with the second. 4. If one side of a triangle be bisected, the sum of the square! of the other two sides is double of the square of...Given the figure of an ellipse, find practically its centre and its foci. 7. In an ellipse, if the line / oi be drawn parallel to the axis minor BCD, and...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - عدد الصفحات: 350
...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 made rip of the half and the part produced. Let the straight line AB be bisected in C, and produced...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 5

John Mason Good - 1819 - عدد الصفحات: 800
...the wholi line thus produced, and the square of tlir part ot it produced, are together double of toe square of half the line bisected, and of the square of the line made up of the half and the part produced. Prop. XI. Prob. To divide a given straight lint into tu'o...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - عدد الصفحات: 354
...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 so of the line made up of the half and the part produced. Let the straight line AB be bisected in C,...




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