 | Education - 1850 - 488 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...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 centre. '2. In equal circles,... | |
 | 1852 - 316 pages
...and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to...which is made up of the half and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED FROM NO. XVIII.) II. DISCIPLINE.... | |
 | Euclides - 1852 - 152 pages
...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. [This Proposition may advantageously be omitted at the first time of reading.... | |
 | Euclides - Geometry - 1853 - 176 pages
...and difference. 7. If a straight line be divided into five equal parts, the square of the whole line is equal to the square of the straight line which is made up of four of those parts, together with the square of the straight line which is made up of three of those... | |
 | Euclides - Geometry - 1853 - 334 pages
...AB and BC together ; and four times the rectangle BA, AC together with the square V of BC shall be equal to the square of the straight line which is made up of BA and AC together. Produce AB to D, and from BD cut oft' (i. .3) BE equal to BC. On AE describe (i.... | |
 | Euclides - 1853 - 146 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of tfie straight line which is made up of the half and the part produced. Let the straight line AB be... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;... | |
 | Euclid - Geometry - 1853 - 176 pages
...part, to• gether with the square on <• half the line bisected, is equal in area to the square on the straight line which is made up of the half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol. 2. . II.... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...line AB be bisected in C, and produced to the point D ; ihe rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe... | |
 | Euclides - 1855 - 270 pages
...the rectangle contained by the whole 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 Kne which is made up of the half and the part produced. Let the straight line AB he bisected at C,... | |
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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 of half the line bisected, is equal to the square of the straight line which is made... 
