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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. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 140
των T S. Taylor - 1880
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Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...be produced, the exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides of a triangle...angle contained by those two sides is a right angle. Section 2. 1. If a right line be divided into any two parts, the rectangles contained by the whole...

The English Journal of Education, Τόμος 4

1850 - 488 σελίδες
...interior angles of every triangle are together equal to two right angles. 3. 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. SECTION III....

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...Therefore, in any right,angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides ofit; the angle contained by these two sides is a right angle. If the square...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...Therefore, in any right-angled triangle, etc. QED PROPOSITION XLVIII. THEOR. 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. If the square...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. — THEOREM. 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. If the square...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...in any rightangled triangle, &c. QED PEOPOSITION XL VIII. — THEOREM. 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. IF the square...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...described on the sides AB, AC, including the right angle. Which was to be proved. PEOP. XLVIII. THEOE. If the square described on one of the sides of a triangle he equal to the squares described on the other two sides : then the angle included by these two sides...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...same base, and on the same side of it, are between the same parallels. 2. 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 those two sides is a right angle. 3. Divide...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 σελίδες
...the other ¡3 the perpendicular, and conversely. PROP. XLVIII. THEOREM. 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. Let the square...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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 those two sides is a right angle. If the square on the hypothenuse be fire times that on one of the sides; compare the two sides. 4....




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