 | Elizabethan club - 1880 - 156 pages
...figures all equal and similar ; show what figures alone can be used. 4. If the square described upon one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle. If any point P be joined to A, B, C, D, the angular points of a rectangle, prove that the squares on... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...each other. PROP. XLVIII. THEOREM. //' the square described upon one of tlie sides of a triangle bf equal to the squares described upon the other two...contained by these two sides is a right angle. Let ABC be a triangle, with the square described upon BC = the sum of the squares described upon BA and... | |
 | Pupil teachers - 1880 - 1486 pages
...? 48.Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of...angle contained by these two sides is a right angle. D 咀 ㏄ 祉 血 卑 l ・ The 打 l9l ㏄ aⅠtbe 卜 ㏄ of む lis０5celes ㎡ angleaⅠeeqⅣ... | |
 | Noah Knowles Davis - Logic - 1880 - 344 pages
...the square described upon one of the sides of a triangle be equal to both the squares described on the other two sides of it, the angle contained by these two sides is a right angle. — Euclid, Prop. xlviii, bk. i. 33. There could be no choice, were there no difference. 34. Nor pain,... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Wherefore, in any right-angled triangle &c. QED PKOPOSITION 48. THEOREM. Jf the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Let the square... | |
 | 1880 - 594 pages
...and parallel. Therefore DE is parallel to AB, ie, to FG. SECTION III. — If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. » The sum of... | |
 | Education Ministry of - 1880 - 238 pages
...triangle to construct an oblong equal to one-fourth of the given triangle. 2. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. The sum of the... | |
 | T S. Taylor - 1880 - 152 pages
...enunciations of Euc. I. 8 and I. 47 ; Axioms i and 2a. General Enunciation. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by those two sides is a right angle. Particular Enunciation.... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...the angle A. Show that the angle DAE is half the difference of B and C. 4. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. ABC is an isosceles... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...the other it the perpendicular, and conversely. PROP. XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares...the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon the other two sides, AB and A C. Then the angle BAC... | |
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If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 
