| John Keill - Geometry - 1723 - 364 pages
...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 - Geometry - 1734 - 164 pages
...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 - Geometry - 1765 - 464 pages
...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 - Geometry - 1776 - 264 pages
...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 - Geometry - 1776 - 264 pages
...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 - Geometry - 1782 - 399 pages
...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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, Olinthus Gilbert Gregory - 1813
...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 - Euclid's Elements - 1816 - 528 pages
...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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