| Euclid, John Keill - 1723 - 436 σελίδες
...cut into two Parts, four times the Re&angle, contain'd under the whole Line, and one of the farts, together with the Square of the other Part, is equal...of the Line, compounded of the whole Line, and the firft Part taken as one Line. T ET the Right L5ne AB be cut any how in C. *-* I fay four times the... | |
| Ignace Gaston Pardies - 1734 - 192 σελίδες
...any how into two Parts, theQuadrupIe Reftangle under the whole Line, and one of the Parts added to the Square of the other Part, is equal to the Square of the whole and the other Part added to it, as if it were but one Line. ae Z| -- ! - 1 Let the whole Line... | |
| Euclid - 1765 - 492 σελίδες
...taken as one line. Therefore if a right line be divided into any two pans, four times the rectangle contained under the whole line and one of 'the parts, together with the fquare of the remaining part, is equal to the fquare of the whole line and the aforefaid part, taken... | |
| Euclid - 1776 - 326 σελίδες
...THEELEMENTS BOOK!!. V^Y>J PROP. VIII. THEO R. IF a right line be cut into two parts, four times the reSlangle under the whole line, and one of the parts, together with the fquare of the other part, are equal to thefquare of the whole line, and thefirft part taken as the... | |
| Euclid - 1776 - 318 σελίδες
...BOOK II, PROP. VIII. THEO R. TF a right line lie cut into two parts, four times the reft angle •^ under the whole line, and one of the parts ^ together •with the fqitare of the other part, are equal to thefquare of the whole fine, and the fir ft part taken as the... | |
| John Keill - 1782 - 472 σελίδες
...PRPOPSITION VIII. THEORE M. If a Right Line be any bow cut into two Parts, four Times the ReElangle, contained under the whole Line, and one of the Parts,...Square of the other Part, is equal to the Square of \tbe Line compounded of ~\ the whole Line and thefirjl Part, taken as one Line. ,T. £ T the Right... | |
| Robert Simson - 1806 - 548 σελίδες
...VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and one of the parts, together with...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 Playfair - 1806 - 320 σελίδες
...THEOR. .• 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, 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 σελίδες
...VIII. Theor. 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...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 - 1816 - 592 σελίδες
...VIII. THEOfc. 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...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... | |
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