 | 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, when one of the... | |
 | 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...and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are such See KK " as have their sides... | |
 | 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...each to each, and the sides about the equal angles proportional. Book VI. Two sides of one figure are said to be reciprocally proportional to two sides... | |
 | Isaac Dalby - Mathematics - 1807 - 476 pages
...surfaces or area* ot nVjse rectans'is in s^uaro ii;thes. OF SIMILAR. PLANE FIGURES. DEFINITIONS. 9<X SIMILAR rectilineal figures are those which have their...each to each, and the sides about the equal angles proportional. Thus, if the angles of the triangles ABD, aid are respectively equal, and AB : BD ::... | |
 | John Mason Good - 1813 - 714 pages
...with those 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...and the sides about the equal angles proportionals. 2. Reciprocal figures, viz. triangles and parallelograms, are such as have their sides about two of... | |
 | 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,...and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are See N. " such as have their sides... | |
 | 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...and the sides about the equal angles proportionals. II. " Reciprocal figures, viz, triangles and parallelograms, are See N, "such as have their sides about... | |
 | 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...each to each, and the sides about the equal angles proportional. — Reciprocal ^figures, ie triangles and parallelograms, are such as have their sides... | |
 | George Lees - 1826 - 276 pages
...GEOMETRY. BOOK IV. DEFINITIONS. I. — SIMILAR rectilineal figures are those which have their Book IV> several angles equal, 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 of another, when... | |
 | Euclides - 1826 - 226 pages
...magnitudes be proportional the two extremes shall be greater than double of the mean. 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... | |
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Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side 
