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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Σελίδα 142
των Euclides - 1858
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. Book I. IF the square described upon one of the sides of a triangle be •...the other two sides of it, the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...the sides BA, AC. 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...the other two sides of it ; the angle contained by these two sides is a right angle. Book I. If the square described upon BC, one of the sides of the...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...squares described upon the sides which contain the right angle. Prop. XLV1II. Theor. If the square described upon one of the sides of a triangle, be...the other two sides of it; the angle contained by these two sides is a right angle. Book II. Def. I .—-Every right angled parallelogram Is said to...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XL VIII. THEOR. Ir the square described upon one of the sides of a triangle, be...the other two sides of it ; the angle contained by these t\\o sides is a right angle. Boo* I. If the square described upon BC, one of the sides of the...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...sides BA, AC. Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. // the square described upon one of the sides of a triangle, be...the other two sides of it ; the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...squares described upon the sides which contain the right angle. Prop. XLVIII. Theor. If the square described upon one of the sides of a triangle, be...the squares described upon the other two sides of it j the angle contained by these two «ides is a right angle. Book II. Def. 1. — Every right angled...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...BA, AC. Therefore, in any right-angled triangle, Sec. QED Proposition XLV1II. Theorem. If the square described upon one of the sides of a triangle, be equal to the squares described upon the oiher two sides of it, the angle contained by these two sides is a right angle. If the square described...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...applicable in every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained by these two remaining...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...applicable in every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained .:.:. • ty these...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 σελίδες
...BA, AC. Therefore, in any right angled triangle, &.<:-f PROP. XLVIII. THEOR. If the square deseribed upon one of the sides of a triangle, be equal to the squares deseribed upon the other two sides of it ; the angle eontained by these two sides is a right angle....




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