 | Frederick Emerson - 1840 - 302 σελίδες
...of the sum of the squares of the base and perpendicular is equal to the hypotenuse. PROPOSITION 8d. The square root of the difference of the squares of the hypotenuse and base is equal to the perpendicular. PROPOSITION 4th. The square root of the difference of the squares... | |
 | William Draper Swan - 1841 - 40 σελίδες
...square number, what must be done ? How is a mean proportional between two numbers found ? To what is the square root of the difference of the squares of the hypotenuse and perpendicular, equal ? What is a diagonal 1 What is a circle ? What is a diameter ? What is a radius ? Recite the... | |
 | Frederick Emerson - 1847 - 300 σελίδες
...difference of the squares of the hypotenuse and base is equal to the perpendicular. PROPOSITION 4th. The square root of the difference of the squares of...sides of a right-angled triangle are given, we may alvvavs find the remaining side. For example, suppose the bf ,j of the preceding figure to be 4 yards... | |
 | Benjamin Naylor - 1850 - 334 σελίδες
...hypotenuse. hypotenuse and base is equal to the perpendicular. (See the diagram on last pagei) 3d. The square root of the difference of the squares of...hypotenuse and perpendicular is equal to the base. 124. In aright angled triangle the base is 12 feet in length, and the perpendicular is 16 feet; what... | |
 | John Hind - 1856 - 346 σελίδες
...higher departments of Mathematics. THE PRACTICE OF LINEAL MEASURE. angle is equal to the Hypotenuse: and the square root of the difference of the squares of the hypotenuse and either side is equal to the other side. (2) Circle. The circumference is equal to the product of twice... | |
 | Francis Walkinghame - 1859 - 200 σελίδες
...is the length of the base. III. The base and hypotenuse given to find the perpendicular. RULE. — The square root of the difference of the squares of the hypotenuse and base, is the height of the perpendicular. ЙяУ" The two last questions may be varied for examples... | |
 | Robert Potts - 1860 - 380 σελίδες
...squares on- the base and on the perpendicular, is equal to the square on the hypotenuse, it follows that the difference of the squares of the hypotenuse and perpendicular, is equal to the square of the base of the triangle, and therefore the base is known from the difference of the squares... | |
 | Hugo Reid - 1872 - 148 σελίδες
...the formula— Jfr? — ja = p. EIGHT- ANGLED TRIANGLE. 91 angle of a right-angled triangle, extract the square root of the difference of the squares of the hypotenuse and the other side. 318. Examples and Exerdset. 1. Find the hypotenuse of a right-angled triangle, the... | |
 | Milton Browning Goff - 1876 - 462 σελίδες
...square root of the sum of the squares of the other two sides. To find the Base or Perpendicular, Extract the square root of the difference of the squares of the hypotenuse and the given side. PROBLEMS. Find the hypotenuse when the 1. Base is 30, perpendicular 40 ft. Ans. 50... | |
 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...having given the hypotenuse 100 ft., and the base 60 ft. ANALYSIS. — As the perpendicular equals the square root of the difference of the squares of the hypotenuse and base, 1/100*^60*~= i/6400= 80ft., height. 3. A mason desiring to know whether the walls of his building... | |
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... is equal to the square root of the difference of the squares of the hypotenuse and the other leg. 
