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" Also the square of either of the two sides which form the right angle is equal to the square of the hypothenuse diminished by the square of the other side. "
An Advanced Arithmetic, Theoretical and Practical - Σελίδα 291
των James William Nicholson - 1889 - 395 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 359 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 - 237 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 ...

1845
...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...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 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,...

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

Charles Davies - 1849 - 359 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...

Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ...

Thomas Rainey - 1849 - 312 σελίδες
...square of 7- When it is desired to square a number, 2 is written over It, thus, '7) 16 extract the square root of the sum of the square* of the base and side* To find the base, when the hypotenuse and side are given, subtract the square of the side from...

ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...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...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 216 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...

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

James B. Dodd - 1852 - 362 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: With Applications in Mensuration

Charles Davies - 1886 - 324 σελίδες
...the other 1wo 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 BC=O= Sch. The last theorem may be illustrated by describing...




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