 | John Playfair - 1837 - 332 pagina’s
...have been similar. For, let A=»iC, and B=nC ; A+B=(m+»)C, and A— B= (mn)C. . ELEMENTS OF GEOMETRY. BOOK VI. DEFINITIONS. 1. SIMILAR rectilineal figures...arcs, sectors, and segments, are those of which the arcjs subtend equal angles at. the centre. Two equal figures are always similar ; but two similar figures... | |
 | Euclid, James Thomson - 1837 - 410 pagina’s
...of importance. The following list shows the propositions of the fifth book contained in this tract. BOOK VI. DEFINITIONS. 1. Similar rectilineal figures...and the sides about the equal angles proportionals. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pair... | |
 | William Whewell - 1838 - 212 pagina’s
...question, and their ratio will therefore be the ultimate ratio of the parts. EUCLID. Book VI. Def. 1. Similar rectilineal figures are those which have their several angles equal, and the sides above the equal angles proportional. LEMMA TO PROP. V. Two similar polygons have corresponding... | |
 | Euclides - 1840 - 192 pagina’s
...Remarks, see APPENDIX E. BOOK VI. DEFINITIONS. AA 1. Rectilinear figures are said to be similar, when they have their several angles equal, each to each, and the sides about the equal angles proportional. 2. Two sides of one figure are said to be reciprocally proportional to two sides of another... | |
 | Euclides - 1841 - 378 pagina’s
...they are very frequently made use of by geometers. THE ELEMENTS OF EUCLID. BOOK VI. DEFINITIONS. 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 as have their sides about two... | |
 | Euclides - 1842 - 316 pagina’s
...may be concluded that m is to n as A to BQED ELEMENTS or GEOMETRY. EUCLID. BOOK VI. DEFINITIONS. 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 as have their sides about two... | |
 | Euclid - 1845 - 218 pagina’s
...expressed ; especially since they are very frequently made use of by geometers. BOOK VI. DEFINITIONS. I. SIMILAR rectilineal figures are .those which have...and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are " such as have their sides about two... | |
 | Euclides - 1845 - 546 pagina’s
...Number and Magnitude ; and the fourth chapter of Professor Peacock's Algebra. BOOK VI. DEFINITIONS. 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 as have their sides about two... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...25 16 A 2cor.2 B 3 C 1 schcl. D ischol.l E 11 BOOK VI. DEFINITIONS. 1. Similar rectilineal jiyurea are those which have their several angles equal, each...and the sides about the equal angles proportionals. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pah-... | |
 | Scottish school-book assoc - 1845 - 444 pagina’s
...quantity, then a : c=b : c; for since <z=r&, if each be divided by c, we have - = - ; 6* cc : c. Def. Similar rectilineal figures are those which have their...several angles equal each to each, and the sides about these equal angles proportionals. Def. Reciprocal figures, viz. triangles and parallelograms, are such... | |
| |
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 
