 | Alexander Ingram - Trigonometry - 1799 - 351 pages
...difference AC. G a PROP. BOOK IT, See N. I. « 34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole... | |
 | John Bonnycastle - 1803 - 306 pages
...AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to... | |
 | Robert Simson - Trigonometry - 1804
...together with the fquare of AC. Wherefore if a ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole... | |
 | John Playfair - Euclid's Elements - 1806 - 320 pages
...together " with the square of the difference of the lines." ,, PROP. VIII. THEOR. .• IF a straight line be divided into any two parts, four times the...parts, together with the square of the other part, are equal to the square of the straight line which is made up of the whole and the firstmentioned part.... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...straight line, kc. QE D, PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and...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... | |
 | John Mason Good - 1813 - 722 pages
...the whole and that part, together with the square of the other part. 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. Prop. IX. Theor. If a straight line be divided... | |
 | Euclides - 1814 - 558 pages
...together with the square 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... | |
 | Euclides - 1816 - 528 pages
...together withthe square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOfc. 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... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such that the rectangle, contained by the whole line and one of the parts, shall most exceed the square of that part. Let AB be the given finite straight line ; it is required... | |
 | John Mason Good - 1819 - 740 pages
...the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, four times the rectangle contained by the whole line,...square of the other part, is equal to the square of the straight line which il made up of the whole and that part. double of the square of half the line, »na... | |
| |
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... 
