 | 1852 - 316 páginas
...rectangle contained by the whole line thus 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. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED... | |
 | Euclides - 1852 - 152 páginas
...Proposition are equal to the two squares AE and kc added together.] PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle...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... | |
 | Euclides - 1853 - 146 páginas
...the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...square of AC. Wherefore, if a straight line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle...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 ;... | |
 | Euclides - 1853 - 176 páginas
...of a С. Wherefore, if a straight line, &c. QED PROPOSITION VIII. — THEOREM. If a straight line be divided into any two parts, four times the rectangle...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... | |
 | Royal Military Academy, Woolwich - 1853 - 474 páginas
...question in its literal meaning. 2. To divide a line of 20 inches in length into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the greater part ; then 20 — x = the less... | |
 | Euclides - 1853 - 334 páginas
...other part. Let AB be the given straight line. It is required to divide it into two such parts, that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. On AB describe (i. 46) the square ACDB ; and supposing... | |
 | William Walton, Charles Frederick Mackenzie - 1854 - 266 páginas
...parallelograms is equal to twice the triangle BSD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
 | Cambridge univ, exam. papers - 1854 - 284 páginas
...parallelograms GF, EH is equal to twice the triangle KBD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
 | Euclides - 1855 - 270 páginas
...divided into any two parts, four times the rectangle con'ained by the whole line, and one of the parís, 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 thai part. Let the straight line AB be divided into any two parts at the point... | |
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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... 
