| 1847
...other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... | |
| John Playfair - Euclid's Elements - 1844 - 317 pages
...equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four **times the rectangle contained by the whole line, and...one of the parts, together with the square of the** olher part, is equal to the square of the straight line which is made up of the whole and thefirst-mentioned... | |
| Robert Simson - Geometry - 1845 - 199 pages
...'straight line, &c. QED PROPOSITION VIII. THEOR. — If a straight line be divided into any two parts, four **times the rectangle contained by the whole line, and...to the square of the straight line, which is made** of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;... | |
| James Thomson - Geometry - 1845 - 358 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to D ; the rectangle... | |
| Robert Potts - 1845
...nf, That is, If a number be divided into any two parts, four times the product of the whole number **and one of the parts, together with the square of the other part,** ig equal to the square of the number made up of the whole and that part. Prop. ix. Algebraically. Let... | |
| Geometry - 1846
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD.... | |
| Euclides - 1846
...line thus produced and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to D : the rectangle... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to the point D... | |
| Geometry - 1846
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD.... | |
| Euclides - 1848
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the... | |
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