Books Books 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 ... - Page 136
by Euclides - 1858 ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...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 - Trigonometry - 1806 - 518 pages
...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 ..., Volume 5

John Mason Good - 1813 - 722 pages
...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 - 528 pages
...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 ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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 ..., Volume 5

John Mason Good - 1819 - 740 pages
...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 - Mathematics - 1825 - 372 pages
...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 - 236 pages
...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 pages
...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... 