| Sir John Leslie - 1809 - 493 Seiten
...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 - 207 Seiten
...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
...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 - 490 Seiten
...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 - 490 Seiten
...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 - 320 Seiten
...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 - 320 Seiten
...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... | |
| The Owens College - 1872
...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 - 398 Seiten
...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 - 182 Seiten
...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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