 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...', If a straight line be divided into any two parts, the square or in* ELEMENTS OP KUCUD. 191 vhole line is equal to the squares of the two parts, together...straight line AB be divided into any two parts in С ; the square of AB is equnl to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
 | Olinthus Gregory - Architecture - 1825 - 438 pages
...fine, are parallel to one another. 6. If a right line А с be divided into two parts А в, в с ; the square of the whole line is equal to the squares of both the parts, and twice the rectangle of the parts, AC' = А в2 -f BC* + 2 А В . В С. À 7.... | |
 | Euclid - 1826 - 234 pages
...and it be ag =fg + g2. Q- ED PROPOSITION IV. THEOREM. If a right line be divided into any two part:!, the square of the whole line is equal to the squares...parts, together with twice the rectangle contained under the parts. Let the right line AB be divided into any two parts in the point c ; the square of... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 506 pages
...&c. QE'D. B B PROP. IV. THEOR. If a straight line be divided into any two parts, the square of tfie whole line is equal to the squares of the two parts,...together with twice the rectangle contained by the parts. < i , Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...than in ordinary language. The proposition, (Euc. 4- 2.) that when a straight line is divided into two parts, the Square of the whole line is equal to the...squares of the two parts, together with twice the product of the parts, is demonstrated, by involving a binomial. Let the side of a square be represented... | |
 | 1827 - 486 pages
...ference, and .'. their difference is 2 ; and the numbers are PROP. VIII. THEOREM (fig. 159). I? a right line (AB) be divided into any two parts (in C), the square of the sum of the whole line and either part (CB) is equal to four times the rectangle contained by the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C: the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with the... | |
 | John Playfair - Geometry - 1829 - 210 pages
...two parts together with the square of the foresaid part. If a straight line be divided into any two parts, the square of the whole line is equal to the...together with twice the rectangle contained by the two parts. Or, in other words, the square of the sum of two lines is greater than the sum of their... | |
 | Education - 1833 - 412 pages
...parts together with the square of the aforesaid part. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the...together, with twice the rectangle contained by the parts. a. Find the value of x in x 1 — a x-\-b*^0. b. Divide a*— 3x*+x* + J x'-l'2x + 6 by ^-3. Find the... | |
 | Euclides - 1834 - 518 pages
...therefore, a straight line, &c. o. ED PROPOSITION IV. THEOR. — If a straight line be divided into any two parts, the square of the whole line is equal to the...divided into any two parts in C : the square of AB shall be equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB. Upon AB, describe... | |
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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
