 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...the i9th Deftnition. 174. Def. 22. Similar retlilineal Figures afe thofe which' have their feveral Angles equal, each to each, and the Sides about the equal Angles Proportionals. 175. Def. 23. Two Magnitudes are faid to; be reciprocally proportional to two others,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...number of ratios. Therefore, &c. QED V A, D, B, E, c, F. ELEMENTS OF GEOMETRY. BOOK VI. DEFINITIONS. SIMILAR rectilineal figures are. those which have...and the sides about the equal angles proportional. Book VI. Two sides of one figure are said to be reciprocally proportional to two sides of another,... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...very frequentlv made use of by geometers. THE ELEMENTS OF EUCLID. BOOK VI. DEFINITIONS. BookVI. I. SIMILAR rectilineal figures are those which have their...each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are such See KK " as have... | |
 | John Mason Good - 1813 - 714 pages
...remaining of the last, each to each, or with the remaining ratio of the last. Book VI. Def. 1. — Similar rectilineal figures are those which have their...each, to each, and the sides about the equal angles proportionals. 2. Reciprocal figures, viz. triangles and parallelograms, are such as have their sides... | |
 | Euclides - 1814 - 560 pages
...geometers. THE ELEMENTS O» EUCLID. BOOK VI. DEFINITIONS. SIMILAR rectilineal figures -x'1 Boo* VI. are those which have their ". several angles equal,...each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are See N. " such as have... | |
 | Euclides - 1816 - 588 pages
....i ' . i m ELEMENTS EUCLID. . ( BOOK VI. DEFINITIONS. I. SIMILAR rectilineal . figures .s\ BouK VI. are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz, triangles and parallelograms, are See N, "such as have... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...whatever be the number of ratios. Therefore, &c. ' Q, ED ELEMENTS GEOMETRY. BOOK VI. DEFINITIONS. I. S~'IMILAR rectilineal figures are those which have...each to each, and the sides about the equal angles proportionals. ^ II. Two sides of one figure are said to be reciprocally proportional to two sides... | |
 | John Playfair - 1819 - 354 pages
...demonstrated, whatever be the number of ratios. Therefore. &c. ELEMENTS OF , GEOMETRY. BOOK VI. DEFINITIONS. I. SIMILAR rectilineal figures are those which have their several angles equal, each to ea''h, and the sides about the equal angles proportionals. Two sides of one figure are said to be reciprocally... | |
 | George Crabb - Industrial arts - 1823 - 704 pages
...and equilateral ; irregular, when they are not equiangular and equilateral. — Similar rectilinear ^figures are those which have their several angles...and the sides about the equal angles proportional. — Reciprocal ^figures, ie triangles and parallelograms, are such as have their sides about two of... | |
 | Euclides - 1826 - 226 pages
...EUCLID'S ELEMENTS. BOOK VI. DEFINITIONS. 1. Similar rectilineal figures are those which have their angles equal each to each, and the sides about the equal angles proportional. 2. Reciprocal figures are such as have their sides about two of their angles proportional in such a... | |
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Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their... 
