 | Scotland free church, gen. assembly - 1847 - 554 pages
...other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the...one of the parts, together with the square of the olher part, is equal to the square of the straight line which is made up of the whole and thefirst-mentioned... | |
 | Euclid - Geometry - 1845 - 218 pages
...the square of AC. Wherefore, if a 'straight line, &c. QED PROPOSITION VIII. THEOR. — If a straight line be divided into any two parts, four times 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...of their difference, together with four tunes their rectangle. PROP. VIII. THEOR. — If a straight line be divided into any two parts, four times the rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight... | |
 | Euclides - 1845 - 546 pages
...nf, That is, If a number be divided into any two parts, four times the product of the whole number and one of the parts, together with the square of the other part, ig equal to the square of the number made up of the whole and that part. Prop. ix. Algebraically. Let... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the...square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB... | |
 | Euclides - 1848 - 52 pages
...whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times 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. PROP. IX. THEOREM. If a straight line be... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...together with the squares of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. If a straight line be divided into any two parts, four times 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. Let the straight line AB be divided into... | |
 | 1867 - 336 pages
...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, four times the...square of the 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.... | |
 | Euclides - 1852 - 152 pages
...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...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... | |
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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... 
