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" The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 45
autor: Robert Gibson - 1806 - Liczba stron: 452
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The Tutor's Assistant: Being a Compendium of Arithmetic and a Complete ...

Francis Walkingame - 1832 - Liczba stron: 208
...perpendicular is the length of the base. The Bate and Hypothenate given tollnd the Perpendicular. KUI.E. The square root of the difference of the squares of the hypothenuse and base is the height of the perpendicular. NB The two last Quettiont may be varied for Examples to At...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834
...perpendicular add the square of the base, and the square root of the sum will give the hypothenuse. II. The square root of the difference of the squares of the hypothenuse and either side, will give the other. Or multiply the sum of the hypothenuse and either side, by their...
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Taplin's improved edition of Walkingame's Tutor's assistant. To which is ...

Francis Walkingame - 1835
...the moat to the top of the wall ? RULE x. The Hypothenuse and Perpendicular given, to find the Base. The square root of the difference of the squares of the hypothenuse and perpendicular, is the length of the base, EXAMPLES. (34) A ladder 75 yards long, will reach the top...
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The Educational Magazine, Tom 2

1835
...ladder. Am. 40 feet. The hypothenuse and base being given to find the perpendicular. RULE. — Extract the square root of the difference of the squares of the hypothenuse and base, and the said root will be the height of the perpendicular. 46. If the walls of a town be surrounded...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - Liczba stron: 262
...perpendicular add the square of the base, and the square root of the sum will give the hypothenuse. II. The square root of the difference of the squares of the hypothenuse, and either side will give the other. III. Or multiply the sum of the hypothenuse and either side, by their...
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The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - 1840 - Liczba stron: 224
...root of the sum of the squares of the sides forming the right angle is equal to the Hypothenuse : and the square root of the difference of the squares of the hypothenuse and either side is equal to the other side. (2) Circle. The circumference is equal to the product of twice...
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A Theoretical and Practical System of Arithmetic, etc

W. H. CRANK - 1843 - Liczba stron: 316
...hypothenuse. Ans. 12-5. CASE 2. When the Perpendicular and Hypothenuse are given, to find the Base, RULE. — The square root of the difference of the squares of the hypothenuse and perpendicular is the length of the base. Ex. — 1. The hypothenuse is 50, and the perpendicular 40....
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - 1845 - Liczba stron: 282
...squares of the two other sides of the triang 3. In every right-angled triangle, either side is equal to the square root of the difference of the squares of the hypothenuse and other side. Q. What is a triangle 1 What are the angles of a triangle ? How many angles in a triangle...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - Liczba stron: 276
...of the two other sides of the triangle. 8. In every right-angled triangle, either side is equal to the square root of the difference of the squares of the hypothenuse and other side. , Q. What is a triangle? What are the angles of a triangle? How many angles in a triangle...
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The American Arithmetic

James Robinson (of Boston.) - 1847
...When the hypothenuse and either of the other sides are given, we can find the third side by extracting the square root of the difference of the squares of the hypothenuse and given side. 68. There is a right-angled triangle ; its base is 8 feet, and its perpendicular 6 feet. What...
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