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... Practical geometry for art students - Page 45by John Carroll (art master.) - 1881Full view - About this book
| 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 - Euclid's Elements - 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
...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...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... | |
| 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...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... | |
| 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...each to each, and the sides about the equal angles** proportional. — Reciprocal ^figures, ie triangles and parallelograms, are such as have their sides... | |
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