 | Elias Loomis - Conic sections - 1849 - 252 pages
...opposite angle on the base produced. Let ABC be an obtuse-angled triangle, having the obtuse angle ABC, and from the point A let AD be drawn perpendicular to BC produced; the square of AC is greater than the squares of AB, BC by twice the rectangle BC X BD. For... | |
 | Euclides - 1855 - 270 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB ; and from the point A, let AD be drawn perpendicular to BC produced. The square of AB is greater than the squares of AC and CB, by twice the rectangle B C. CD.... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...opposite angle on the base produced. Let ABC be an obtuse-angled triangle, having the obtuse angle ABC, and from the point A let AD be drawn perpendicular to BC produced ; the square of AC is greater than the squares of AB, BC by twice the rectangle BC xBD. For... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...perpendicular and the obtuse angle. Let-4-BCbe an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn perpendicular to BC produced. Then the square on AB shall be greater than the squares on AC, CS, by twice the rectangle... | |
 | Euclides - 1862 - 140 pages
...Prop. I. 47; II. 4.) Hypothesis. — Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A let AD be drawn perpendicular to BC produced. Sequence. — The square on AB shall be greater than the squares on AC and CB, by twice the... | |
 | Euclides - 1864 - 448 pages
...perpendicular and the obtuse angle. Let AB C be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn perpendicular to BC produced. Then the square on A"B shall be greater than the squares on AC, CB, by twice the rectangle... | |
 | Euclides - 1865 - 402 pages
...(References — Prop. i. 12, 47 ; n. 4.) Let ABC bean obtuse-angle triangle, having the obtuse angle ACB; and from the point A let AD be drawn perpendicular to BC prodnced. (I- 12.) Then the square of AB snail be greater than the squares of AC, CB, by twice tne... | |
 | Robert Potts - 1865 - 528 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn perpendicular to BC produced. Then the square on AB shall be greater than the squares on AC, CB, by twice the rectangle... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the'perpendicular and the obtuse angle. Let ABC be an obtuse-angled iriangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced : the square on AB shall be greater than the squares on AC, CB, by twice the rectangle BC,CD.... | |
 | Robert Potts - 1868 - 434 pages
...perpendicular and the obtuse angle. 'Let ABC be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be drawn perpendicular to BC produced. Then the square on AB shall be greater than the squares on AC, CM, by twice the rectangle... | |
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... which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD... 
