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" The square of the base, or of the perpendicular, of a right-angled triangle is equal to the square of the hypothenuse diminished by the square of the other side. "
The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ... - Σελίδα 425
των Horatio Nelson Robinson - 1875 - 456 σελίδες
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 372 σελίδες
...BC2=AB2+AC2. Cor. 1. Hence the square of one of the sides of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; which is thus expressed : AB2=BC2— AC2. Cor. 2. It has just been shown that the square AH is equivalent...

Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 268 σελίδες
...1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; which is thus expressed, ABS=BC2 — AC2. Cor. 2. It has just been shown that the square AH is equal...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 σελίδες
...BC"=AB'-fAC2. Cor. 1. Hence the square of one of the sides of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side; which is thus expressed : AB2=BC2— AC:. Cor. 2 It has just been shown that the square AH is equivalent...

Text-book of arithmetic, for the use of teachers

John Hunter (of Uxbridge.) - 1847 - 266 σελίδες
...and 12'04. Comparison of the Sides of Right-Angled Triangles. The sum of the squares of the base and perpendicular of a right-angled triangle is equal to the square of the hypotenuse or longest side : or, the difference between the square of the hypotenuse and that of the...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...BC 2 ^AB < ' Cor. 1. Hence the square of one of the sides of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; which is thus expressed : AB 2 =BC 2 —AC 2 . Cor. 2. It has just been shown that the square AH...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...squares ABFG, ACIH, described on the two other sides; that is, BC'=AB'+AC'. triangle, is equivalent to the square of the hypothenuse, diminished by the square of the other side ; that is, AB'=BC'—AC'. Cor. 2. The square BCED, and the rectangle BKLD, having the same altitude,...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 238 σελίδες
...the other two sides. Cor. Hence, the square of either side of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side. That is, in the right angled triangle ABC or Bl?=A(?-AT?. Sch. The last theorem may be illustrated...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 σελίδες
...the other two sides. Cor. Hence, the square of either side of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side. That is, in the right angled triangle ABC *=;AC*— Iff Sch. The last theorem may be illustrated by...

High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - 1852 - 410 σελίδες
...be expressed thus : AC2=:AB2 + BC2. Hence also the square on either of the two perpendicular sides, is equal to the square of the hypothenuse diminished by the square of the other side ; that is, AB2=AC3 — BC3: and BC - - AC 3 — AB2. On these principles, any one side of a right angled...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 σελίδες
...of the squares BALH, CIKA, described on the two other sides ; that is, angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side; thus, Cor. 2. If from the vertex of the right angle, a perpendicular be let fall on the hypothenuse,...




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