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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 on half the line bisected, is equal to the square on the straight line which is... "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 192
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 5

John Mason Good - 1813 - عدد الصفحات: 714
...the line. 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...half the line bisected, is equal to the square of the «traight line which U made up of the half and the part produced. Prop. VII. Theor. If a straight line...

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

Charles Butler - 1814 - عدد الصفحات: 528
...<•! a + xx + aa=(aa + %ax+xx=) a+xf; that is, the rectangle contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QKD Cor. Hence, if three lines ,r, a 4 ,r, and 2rt + ,r...

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

Euclides - 1816 - عدد الصفحات: 588
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C; four times...

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - عدد الصفحات: 454
...angles, at the center of the circle. (LXVII.) To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. (LXVII i.) If, from the bisection of any given arch of a circle,...

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

John Mason Good - 1819 - عدد الصفحات: 800
...bisected, and produned to any point; the rectangle contained hy the whole line thus produced, and Ihe part of it produced, together with the square of half...which is made up of the half and. the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line,...

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

John Playfair - 1819 - عدد الصفحات: 350
...CD)(AC_CD)." 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 square nf half the. line bisected, is equal to the square of the straight line which is made up of the half...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - عدد الصفحات: 446
...touches the circle. PROP. LXXIII. 93. PROBLEM. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. Let AB be a given straight line, and L the side D EX of a given square...

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

Euclid, Robert Simson - 1821 - عدد الصفحات: 514
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made tip of the whole and that part. j Let the straight line AB be divided into any two parts in the point...

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

Euclid, John Playfair - 1826 - عدد الصفحات: 326
...together with the square of half the line biseeted, is equal to the square of the straight line whieh is made up of the half and the part produced. Let the straight line AB be biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - عدد الصفحات: 234
...the part produced, together with the square of half the line, is equal to t/ie square of the right line, which is made up of the half and the part produced. Let the right line AB be bisected in the point с, and produce it to the point D ; the rectangle AD, DB, together...




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