 | Euclides - 1814 - 560 pages
...PROB. FB0M a given straight line to cut oft'any part required. From the point A draw a straight lint.- AC, making any angle with AB; and in AC take any point...to it: Then AE is the part required to be cut off. Let AB be the given straight line; it is required to cut off any part from it.' Because ED is parallel... | |
 | Euclides - 1816 - 588 pages
...re- S««N. quired. Let AB be the given straight line ; it is required to cut off any part from it From the point A draw a straight line AC, making any...to it: Then AE is the part required to be cut off. . Because ED is parallel to one of the sides of the triangle ABC, viz. to BC, as CD is to DA, so isa... | |
 | John Playfair - 1819 - 354 pages
...; it is required to cut off from AB, a part which shall be contained in it a given number of times. From the point A draw a straight line AC making any...with AB ; and in AC tak,e any point D, and take AC euch that it shall contain AD, as oft as AB is to contain the part, which is to be cut off from it... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...off from AB, a part which shall be contained in it a given number of times. From the point A dr»wa straight line AC making any angle with AB ; and in AC take any point D, and take AC such that it shall contain AD, as oft as AB is to contain the part, which is to be cut off from it... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...any part required.* Let AB be the given straight line; it is required to cut off any part from it. From the point A draw a straight line AC making any...multiple of AD, that AB is of the part which is to be ci t off from it: join BC, and draw DE parallel to cut it: then AE is the part required to be cut off.... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...any part required. Let AB be the given straight line ; it is required to cut off an у part from it. From the point A draw a straight line AC, making any...take any point D, and take AC the same multiple of AU, that AB is of the p irt which is to be cut off from it; jiin BC, and draw DE parallel toit: Ther... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...and take AC A Mieh that it shall eontain AD, as oft as AB is to eontain the part, whieh is to be eut off from it; join BC, and draw DE parallel to it: then AE is the part required to be eut off. Beeause ED is parallel to one of the sides of the triangle ABC, viz. to BC, CD : DA " DE :... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...any part required. Let AB be the given straight line ; it is required to cut off any part from it. From the point A draw a straight line AC, making any...multiple of AD, that AB is of the part which is to be cut oft' from it ; join BC, and draw DE parallel to it: then AE shall be the part required to be cut off.... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...and take AC such that it shall contain AD, as oft as AB is to contain the part, which is to be cutoff from it ; join BC, and draw DE parallel to it : then AE is the part required to be cut off. Because ED is parallel to one of the sides of the triangle ABC, viz. to BC, CD : DA : : DE : EA (2.... | |
 | Euclides - 1834 - 518 pages
...any part required. Let AB be the given straight line ; it is required to cut off any part from it. From the point A, draw a straight line AC, making...it ; join BC, and draw DE parallel to it : then AE shall be the part required to be cut off. f The triangles ADB, ADC, being both equiangular to ABC,... | |
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From the point A draw a straight line AC, making any angle with AB ; and in AC take any point D, and take AC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and draw DE parallel to it : then AE is the part required... 
