| 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... | |
| |