 | Eucleides - 1860 - 396 pagina’s
...am and ^7 — -, — —, -A. _ ^< therefore - =: — , and m : p .. A : I. THE ELEMENTS OF EUCLID. BOOK VI. DEFINITIONS. 1. Similar rectilineal figures...and the sides about the equal angles proportionals. SCHOLIUM. In the case of triangles it would have been sufficient to state that ' similar triangles... | |
 | Robert Potts - 1860 - 380 pagina’s
...Fifth Book. 41 . What is the obiect of the Fifth Book of Euclid's Elements ? 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 - 1861 - 464 pagina’s
...other magnitudes, Or of describing figures similar to 'other figures, or equal to them. DEFINITIONS. I. Similar rectilineal figures are those which have their...and the sides about the equal angles proportionals : thns the д s ABC, DEF, are similar, if ¿. A = LD, LB = LE, LC = LF, and if AB : AC, = DE : DF,... | |
 | Euclides - 1863 - 122 pagina’s
...Therefore, if four magnitudes, &c. QED DEFINITIONS. I. SIMILAE rectilineal figures are those which havetheir several angles equal, each to each, and the sides about the equal angles proportionals. II. Triangles and parallelograms are said to have their sides reciprocally proportional when the sides... | |
 | Euclides - 1864 - 448 pagina’s
...Fifth Book. What is the object of the Fifth Book of Euclid's Elements ? BOOK VI. .. . . DEFINITIONS. L SIMILAR rectilineal figures are those which have their several angles equal, each to tach, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles... | |
 | Euclides - 1865 - 402 pagina’s
...X, as o to d; therefore h is to 1, as m to p. (v. 11.) Q. £. D. 195 BOOK VI. DEFINITIONS. SIMILAB rectilineal figures are those which have their several...and the sides about the equal angles proportionals. n. 'Reciprocal figures, viz. triangles and parallelograms, are snch as have their sides ahont two of... | |
 | Robert Potts - 1865 - 528 pagina’s
...of proportionals." 68. What is the object of the Fifth Book of Euclid's Elements ? DEFINITIONS. I. rectilineal figures are those which- have their several...and the sides about the equal angles proportionals. n. "Reciprocal figures, viz. triangles and parallelograms, are such as have their sides about two of... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...then " ~i and F together are greater than CD and E together. Wherefore, iffow magnitudes &c. QED I) H BOOK VI. DEFINITIONS. 1. SIMILAR rectilineal figures...and the sides about the equal angles proportionals. 2. Reciprocal figures, namely, triangles and parallelograms, are such as have their sides about two... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...DH, then ~> and .F together are greater than CD and E together. Wherefore, if four magnitudes &c. QED BOOK VI. DEFINITIONS. 1. SIMILAR rectilineal figures...and the sides about the equal angles proportionals. 2. Reciprocal figures, namely, triangles and parallelograms, are such as have their sides about two... | |
 | Robert Potts - 1868 - 434 pagina’s
...intended to exclude the idea of numerical measures of ratios in his Fifth Book. BOOK VL DEFINITIONS. SIMILAR rectilineal figures are those which have their...each to each, and the sides about the equal angles projortionals. II. " Reciprocal figures, viz. triangles and parallelograms, are such as have their... | |
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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 
