 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line lie divided into any two parts, four times the rectangle...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 vp of the whole and thefirst-mentioned... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6. If a straight line passing... | |
 | Euclides - 1855 - 270 pages
...their differesse, together with four times the rectangle contained by them. PROP. Till. THEOREM. У a straight line be 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
 | Euclides - 1858 - 136 pages
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico parts, four times the rectangle contained by 'the whole line and one of tlie parti together with the square of the other part, is equal to the square of the st.i line which... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...equal to the rectangle contained by the two parts, together with the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained by the whole line, and one of the parts, together with the square of the other... | |
 | Euclides - 1858 - 248 pages
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
 | War office - 1858 - 578 pages
...rectangles contained by the parts become ? 4. 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. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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 made up of the half and the part produced. 4. In a circle the angle in a semicircle is a right angle'. ALGEBRA. 1.... | |
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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... 
