 | John Playfair - 1855 - 334 σελίδες
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line lie divided into any two parts,...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 - 1855 - 976 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...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.... | |
 | W. Davis Haskoll - 1858 - 422 σελίδες
...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 part, is equal to the square of the straight line, which is made up of the whole line... | |
 | Euclides - 1858 - 136 σελίδες
...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... | |
 | War office - 1858 - 578 σελίδες
...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.,... | |
 | Euclides - 1858 - 248 σελίδες
...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.... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...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.... | |
 | Euclides - 1860 - 288 σελίδες
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, is equal to the square on the straight line, which is made up of AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square... | |
 | James Elliot - 1860 - 252 σελίδες
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 —... | |
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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... 
