 | Edinburgh univ - 1871 - 392 pages
...Prove also the converse proposition. 2. If the square described upon one of the sides of a triangle is equal to the squares described upon the other two...angle contained by these two sides is a right angle. 3. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the squares on the segments of the base. PROPOSITION XL VI II. THEOREM. If the square described upon one of the sides of a triangle be equal to the squares described upon tfte other two sides of it, the angle contained by those sides is a right angle. BC Let the sq. on... | |
 | Edward Atkins - 1874 - 426 pages
...Therefore, in any right-angled triangle, &c. Q- ED Proposition 48. — 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 described upon the other sides BA, AC; The angle BAC shall... | |
 | Euclides - 1874 - 342 pages
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— 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, AC. i Then the angle BAC shall... | |
 | Edward Atkins - 1874 - 428 pages
...triangle, &c. QED Proposition 48.— Theorem. If the square described upon one of the sides of a triangla be equal to the squares described upon the other two...the square described upon BC, one of the sides of the triangle ABC, be equal to the squares described upon the other sides BA, AC; The angle BAC shall... | |
 | Euclides - 1874 - 120 pages
...hypotenuse is equal to the area of the other two. PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle be equal to the squares- described on the ether two sides of it, the angle contained by these two sides is a right anylc. j Let the square... | |
 | Braithwaite Arnett - 1874 - 130 pages
...angles of a quadrilateral is half the sum of the two remaining angles. 5. 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. 6. If any point... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...it may be proved that the O QC is = the square on RQ; PROPOSITION XXXVI. 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 sides is a right angle. a Let the square... | |
 | 1876 - 400 pages
...drawn through E to meet the two lines will be bisected in that point. 2. 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. ALGEBRA.— 1. Find the value of (2 + Sx + ix*)* - (2 - 2x + 3x*)> 2. Solve the equations : — (1.)... | |
 | Henry Major - 1876 - 784 pages
...essay on " The British Umpire is one on which the sun never nets." 1 . If the pqnarc described upon one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the... | |
| |
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. 
