 | Robert Gibson - 1806 - 486 pàgines
...base; but (by theo. 17. sect. 1.) AD : GD : : HD : FD; that is, the base is to the sum of the other sides, as the difference of those sides, is to the difference of the segments of the base. Q,. ED THEOREM IV. If to half the sum of two quantities, be added half their difference i the sum will... | |
 | John Bonnycastle - 1806 - 464 pàgines
...CB, BG. Hence, CB is to BE as BF is to BG ; that is, the base BC is to the sum of the sides AB, AC, as the difference of those sides is to the difference of the segments of the base CD, DB. QED SCHOLIUM. When the perpendicular AD falls without the triangle, the segments of the base... | |
 | Robert Gibson - 1808 - 482 pàgines
...base : but (by theo. 17. seft. 1.) AD : GD : t HD : FD ; that is, the base is to the sum of the other sides, as the difference of those sides, is to the difference of the segments of the base. QED THEO. IV. If to half the sum of two quantities, be added half their difference ; the sum will be... | |
 | Robert Gibson - 1811 - 580 pàgines
...base ^ but (by theo. 17. sect. 4.) AD : GD : : HD : FD ; that is, the base is to the sum of the other sides, as the difference of those sides, is to the difference of the segments of the base. 2. ED THEO. IV. Fig. 13. If to half the sum of two yvantiliesj be added half their difference ; the... | |
 | Robert Gibson - 1814 - 558 pàgines
...base ; but (by theo. 17. sect. 4.) AD : GD : .- HD : FD ; that is, the base is to the sum of the other sides, as the difference of those sides is to the difference of the segments of the base. QED THEO. IV. Fig. IS. if to half the sum of two quantities, be added half their difference; the sum... | |
 | Charles Butler - 1814 - 528 pàgines
...within a triangle, a perpendicular be drawn from the opposite angle to the base, then will the base : be to the sum of the other two sides : : as the difference of these sides : to the difference of the segments of the base. Let ABC be a triangle, having the straight... | |
 | Robert Gibson - 1818 - 502 pàgines
...base : but (by theo. 17. sect. 1.) AD : GD : : HD : FD ; that is, the base is to the sum of the other sides, as the difference of those sides, is to the difference of the segments of the base. QED THEOREM IV. Tf to Jialf the sum of two quantities, be added half their difference ; the sum will... | |
 | Robert Gibson - 1821 - 594 pàgines
...12. In my right-lined plane triangle ABD ; the base AD mil be to the sum of the other sides, AB, BD, as the difference of those sides is to the difference of the segments of the base, made by the perpendi-s cular BE ; viz. the difference between AE and ED. Produce BD, till BG=ABibe... | |
 | Edward Riddle - 1824 - 572 pàgines
...any angle of a plane triangle to the opposite side, or base, the sum of the segments of the base is to the sum of the other two sides, as the difference of those sides is to the difference ofthe segments of the base. Рог (Geo. Theo. 48. Cor.) the rectangle under the sum and difference... | |
 | Charles Davies - 1830 - 390 pàgines
...perpendicular to the opposite side, dividing it into two segments, the whole side or sum of the segments, is to the sum of the other two sides, as the difference of those sides, to the difference of the segments. * The references marked thus, ( )*, refer to the articles of the... | |
| |
... base is to the sum of the other two sides, as the difference of those sides is to the difference of the segments of the base. 
