| Sir John Leslie - 1817 - 456 pages
...difference AC of the two lines AB and BC. B PROP. XVII. THEOR. The rectangle contained by the sum and **difference of two straight lines, is equivalent to...having made AG equal to AC, draw GH parallel to AD (I.** 23.), and CI, DH parallel to AE. Because GK is equal to KC or HD, and EG is equal -to CB or BD, the... | |
| William Chauvenet - 1871 - 380 pages
...described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle of **the sum and the difference of two straight lines is equivalent to the difference of** the squares of those lines. 223. Prove, geometrically, that the sum of the squares on two lines is... | |
| William Chauvenet - 1872 - 382 pages
...described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle of **the sum and the difference of two straight lines is equivalent to the difference of** the squares of those lines. 223. Prove, geometrically, that the sum of the squares on two lines is... | |
| John Reynell Morell - 1875 - 220 pages
...squares on each of the lines, increased by twice their rectangle. 179. The rectangle constructed on **the sum and the difference of two straight lines is equivalent to the difference of** the squares of those lines. 180. Make a square equal to the sum or the difference of two squares. 181.... | |
| William Chauvenet, William Elwood Byerly - 1887 - 331 pages
...rectangle of which the two lines are the adjacent sides. 20. Prove, geometrically, that the rectangle of **the sum and the difference of two straight lines is equivalent to the difference of** the squares of those lines. PROBLEMS. 21. To construct a triangle, given its angles and its area (equal... | |
| Edward Albert Bowser - 1890 - 420 pages
...constructed on the lines, diminished by twice the rectangle of the lines. 46. Prove that the rectangle of **the sum and the difference of two straight lines is equivalent to the difference of** the squares constructed on the lines. 47. ABC is an isosceles triangle, CA, CB being the equal sides;... | |
| Edward Albert Bowser - 1890 - 418 pages
...on the lines, diminished by twice the rectangle of the lines. 46. Prove that the rectangle of thesum **and the difference of two straight lines is equivalent to the difference of** the squares constructed on the lines. 47. ABC is an isosceles triangle, CA, CB being the equal sides;... | |
| James Andrew Blaikie, William Thomson - 1892 - 74 pages
...angle is equal to the rectangle contained by the hypotenuse and its adjacent segment. §33, Ex. 1. **The rectangle contained by the sum and the difference of two straight lines is** equal to the difference between their squares. § 33, Ex. 4. The difference between the squares on... | |
| William Chauvenet - 1893 - 340 pages
...rectangle of which the two lines are the adjacent sides. 30. Prove, geometrically, that the rectangle of **the sum and the difference of two straight lines is equivalent to the difference of** the squares of those lines. PROBLEMS. 21. To construct a triangle, given its angles and its area (equal... | |
| Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 pages
...their rectangle. CB Hint.—Let AB and BC be the given lines. • 434. The rectangle whose sides are **the sum and the difference of two straight lines is equivalent to the difference of** the squares described upon the two lines. ABC Hint.—Let AB and BCbe the given lines. Question.—To... | |
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