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" IF a straight line be divided into any two parts, four times the 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... "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Σελίδα 12
των Stewart W. and co - 1884
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the reel" angle contained by the whole line, and one of the parts, together with the square of the other...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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 made up of the half line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD....

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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 made up of the half line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD....

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

Euclid, John Playfair - 1846 - 334 σελίδες
...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 made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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 made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to D : the rectangle...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...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 made up of the half and the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...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 made up of the half and the part produced. Let the straight line AB be bisected in c, and produced to the point D...

The English Journal of Education, Τόμος 4

1850 - 488 σελίδες
...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 made up of the half and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...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 made up of the half, and the part produced. 2. If a point be taken within a circle from which there tall more than...

Papers for the schoolmaster, Τόμος 3

1867 - 336 σελίδες
...geometrically that the sum of the squares of two lines cannot be less than twice their rectangle. 3. If a straight line be divided into any two parts,...other part, is equal to the square of the straight liue which is made up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If...




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