 | Edinburgh univ - 1871 - 392 pages
...line perpendicular to a given straight line, of an unlimited length, from a given point without it. 2. If the square described upon one of the sides of a triangle is equal to the square described upon the other two sides of it; the angle contained by these two sides... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...sides is equal to the difference between the squares on the segments of the base. PROPOSITION XL VI II. THEOREM. If the square described upon one of the sides...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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the sum of the parallelograms ALMD and LBEM ; that is, to the whole square ABED. PBOPOSITION XLVIII. If the square described upon one of the sides of a triangle bo equal to the sum of the squares described upon the other two sides, the angle contained by these... | |
 | 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... | |
 | Henry Major - 1876 - 784 pages
...Euclid. — 1. Straight lines which are parallel to the same straight line are parallel to each other. 2. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. What is the converse proposition ? Algebra.— 1. Show that 1 + x (x + 1) (as + 2) = (as8 + Sas + 1)*.... | |
 | 1876 - 400 pages
...that any other straight line 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...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.)... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...sides is equal to the difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides...triangle be equal to the squares described upon the ottter two sides of it, the angle contained by those sides is a right angle. £ a Let the sq. on BG,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the tquare described upon one of the sides of a triangle be equal to the squares described upon the ottter two sides of itt the angle contained by those sides is a right angle. 0 Let the sq. on BC, a... | |
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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. 
