| Euclides - 1838
...CMG and LG make up the whole figure CEFD, which is the square of CD ; therefore the rectangle AD-DB, **together with the square of CB, is equal to the square of CD. Wherefore, if a straight line,** Ac. «,in D. PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the... | |
| Euclid, Robert Simson - 1838 - 416 sider
...equal to the rectangle AD, DB, add to each of these LG, which is equal to the square of CB, therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG and the figure LG : but the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| Euclides - 1841 - 351 sider
...the rectangle AD, DB: add to each of these equals LG, which is equal to the square of CB; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG: but the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| Euclides - 1842
...is equivalent to the square of C D. Wherefore, if a straight line, &c. QED РRОР. VII. ТНЕОВ, **IF a straight line be divided into any two parts : the squares of the whole line, and** one of the parts, are equivalent to twice the rectangle contained by the whole and that part, together... | |
| John Playfair - 1842 - 317 sider
...produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD.DB **together with the square of CB, is equal to the square of CD.** Upon CD describe (Prop. 46.1.) the square CEFD, join DE, and through B draw (Prop. 31. 1.) BHG parallel... | |
| Euclid - 1845 - 199 sider
...equal to the rectangle AD, DB : Add to each of these LG, which is equal to the square of CB ; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG ; But the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| Euclides - 1845
...the rectangle AD, DB : add to each of these equals LG which is equal to the square of CB ; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG ; but the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| Euclid, James Thomson - 1845 - 352 sider
...and CA ; therefore NB is equal (I. ax. 2) to AD. NA cap But (II. 5) the rectangle NB.BD, or AD.BD, **together with the square of CB, is equal to the square of CD** : which was to be proved. PROP. VII. THEOB. — If a straight line be divided into any two parts, the... | |
| Euclides - 1846
...is equal to the gnomon CMG : To each of these add LG, which is equal to the square of CB ; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG : But the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| John Playfair - 1846 - 317 sider
...produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD.DB **together with the square of CB, is equal to the square of CD.** Upon CD describe (Prop. 46.1.) the square CEFD, join DE, and through B draw (Prop. 31. 1.) BHG parallel... | |
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