 | J. Goodall, W. Hammond - 1848 - 390 Seiten
...the same base and on the same side of it, are between the same parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together... | |
 | Great Britain. Council on Education - 1848 - 596 Seiten
...the same base, and on the same side of it, are between the same parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together... | |
 | Euclides - 1848 - 52 Seiten
...the rectangle contained by the two parts, together with the square of the aforesaid part. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle... | |
 | Euclid, Thomas Tate - 1849 - 120 Seiten
...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... | |
 | Great Britain. Committee on Education - 1850 - 790 Seiten
...the squares of the two parts, together with twice the rectangle contained hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with... | |
 | 582 Seiten
...Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice the rectangle contained by the whole and that... | |
 | Euclides - 1852 - 152 Seiten
...half and the part 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. • xlvi. i. Upon CD describe* the square CEFD, join DE, " xxxi i. and through B draw b BHG parallel... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...equal (4. Cor. n.) to DB : therefore the gnomon CMG is equal to the rectangle AD, DB : c F 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 - 1853 - 176 Seiten
...two straight lines ab, ас is sometimes simply called the rectangle ab, ac. Я PROPOSITION IV. — THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares oftíie two parts, togetlwr with twice the rectangle... | |
 | Thomas Lund - 1854 - 520 Seiten
...very elegant proof of the important Theorem in (43) may be given as follows :— 45. PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together... | |
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IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 
