 | George Albert Wentworth - 1881 - 266 Seiten
...described upon the two lines minus twice their rectangle. 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, PROPOSITION VIII. THEORKM. 378. If the number of sides ofa regular inscribed... | |
 | George Albert Wentworth - 1882 - 442 Seiten
...described upon the two lines minus twice their rectangle. 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. 218 GEOMETRY. BOOK V. PROPOSITION VIII. THEOREM. 378. If Ihe number of... | |
 | Richard Anthony Proctor - 1887 - 202 Seiten
...square on CB is equal to the square on C D. Props. 5 and 6 may be included in one enunciation thus : — The rectangle contained by the sum and difference of two straight lines is equal to the difference of their squares (AC, CD being the two lines referred to) ; or thus : — Taking... | |
 | 1890 - 608 Seiten
...ABC, DBG are equal triangles having A and D on the same side of BC; shew that AD is parallel to BC. 4. The rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares on them. 5. AB CD is a straight line, and AC is equal to CD... | |
 | University of Sydney - 1900 - 646 Seiten
...angle. 7. Enunciate the first two propositions of Euclid's second book, and prove either of them. 8. The rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares described on the straight lines. Enunciate Euclid's two propositions... | |
 | J. Elliott - 1902 - 290 Seiten
...areas in the figure. 6. Verify corollary 1 for lengths of 7.5 cm. and 2.5 cm. § 155. To prove that the rectangle contained by the sum and difference of two straight lines (AB, XY) is equal to the difference of the squares on the two straight lines. AB, XY. ^ Given two straight... | |
 | University of St. Andrews - 1904 - 790 Seiten
...either their common angular point bisects the diagonal, or the original parallelogram is a rhombus. 8. The rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares upon them. Find the locus of a point that moves so that the... | |
 | 1904 - 500 Seiten
...nice group of fifteen properties connected with squares described on the sides of any triangle. That the rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares on the lines is shown in the note to II. vi., and independently,... | |
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The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines. 
