 | Sir John Leslie - 1809 - 522 σελίδες
...A. C 33 away twice the rectangle AB, PROP. XXIII. THEOR. The rectangle contained by the sum and the difference of two straight lines, is equivalent to...having made AG equal to AC, draw GH parallel to AD (I. 26.), and CI, DH parallel to AE. Because GK is equal to KC or HD, and EG is equal to CB or BD, the... | |
 | George Lees - 1826 - 276 σελίδες
...with the square of the difference of the lines. OF GEOMETRY. DEC K rt *• PROP. III. THEOREM. ..i — The rectangle contained by the sum and difference of two straight lines AB, and BC is equivalent to the difference of their squares. Or, (AB+BC).(AB— BC) = AB2 — BC2.... | |
 | 1844 - 456 σελίδες
...contained by these sides is 54°. Show how the remaining angles and side can be found. 1837. GEOMETRY. 2. The rectangle contained by the sum and difference of two straight lines is equal to the difference of their squares. 3. If the opposite angles of a four sided figure be equal,... | |
 | Benjamin Greenleaf - 1862 - 532 σελίδες
...equivalent to the algebraical formula, (a — by = a2 — 2 ab + ¿>2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, В С be two lines ; then will the rectangle contained by the... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...equivalent to the algebraical formula, (a _ by = a* — 2 ab + b2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, BC be two Imes ; then will the rectangle contained by the sum... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...equivalent to the algebraical formula, (a — by = a2 — 2 ab + ft2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, BC be two lines ; then will the rectangle contained by the... | |
 | Benjamin Greenleaf - 1868 - 340 σελίδες
...equivalent to the algebraical formula, (a _ by = a2 — 2 ab + b*. y PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. GI Let AB, BC be two lines ; then will the rectangle contained by the sum... | |
 | Manchester univ - 1872 - 380 σελίδες
...state whether the construction is always possible. 6. Define a rectangle and a rhombus. Prove that the rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares on those lines. DC is perpendicular to AB, and the square on... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...described upon the two lines minus twice their rectangle. r' 4. Show, geometrically, that the rectangle of the sum and difference of two straight lines is equivalent to the diffеrence of the squares on those lines. €* PROPOSITION VIII. THEOREM. 378. If the number of sides... | |
 | George Albert Wentworth - 1879 - 196 σελίδες
...on AB and BC, there will be left the square ACDE. Ex. 4. Show, geometrically, that the rectangle of the sum and difference of two straight lines is equivalent to the difference of the squares on those lines. Let AB be the greater of two lines and AC the less. On AB describe the... | |
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The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines. 
