 | Alexander Ingram - Trigonometry - 1799 - 374 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 rectangle...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 - 530 pages
...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 rectangle...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... | |
 | Robert Simson - Trigonometry - 1806 - 546 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...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 any two parts in the point... | |
 | John Playfair - Mathematics - 1806 - 320 pages
..." 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 rectangle...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.... | |
 | John Mason Good - 1813 - 714 pages
...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 rectangle...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 into two equal, and also... | |
 | Euclides - 1814 - 560 pages
...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 rectangle...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 any two parts in the... | |
 | Euclides - 1816 - 588 pages
...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 rectangle...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 any two parts in the point... | |
 | 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 - 800 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,...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 of tfc square nf... | |
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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... 
