| Euclides - 1881 - 236 sider
...remarkable example, we Professor Do Morgan'< " GonneotiuQ of Number and Magnitude." BOOK VI. DEFINITIONS. I. **SIMILAR rectilineal figures are those which have their...the sides about the equal angles proportionals. In** the case of triangles, tliis definition is redundant. For it is proved in Prop. IT. of this Book, that... | |
| John Carroll (art master.) - 1881 - 100 sider
..." The sides about the equal angles of equiangular triangles are proportionals." — Euclid vi. 4. " **Similar rectilineal figures are those which have their...and the sides about the equal angles proportionals."** — Euclid vi. def. 1. Problem 102. — About a given triangle А В С to describe another similar... | |
| Euclid, Isaac Todhunter - 1883 - 428 sider
...together are greater than CD and E together. "Wherefore, if four magnitudes &c. QED BOOK VI. DEFINITION& **1. SIMILAR rectilineal figures are those which have...and the sides about the equal angles proportionals.** 2. Reciprocal figures, namely, triangles and parallelograms, are such as have their sides about two... | |
| John Ogilvie - 1883 - 834 sider
...the ratio of the constants in those equntions equal.— Similar rectilineal figures, in geom. such as **have their several angles equal each to each, and the sides about the equal angles** proportional. Such flguresaretooneanotherasthe squares of their homologous sides. —Similar segment*... | |
| John Ogilvie - 1883 - 830 sider
...ratio of the constants in those equations equal — Similar rectilitieal Jigures, in geom. such as **have their several angles equal each to each, and the sides about the equal angles** proportional. Such flguresaretooneanotherasthe squares of their homologous sides.— Similar tegments... | |
| Euclides - 1884 - 434 sider
...A+B:AB=C+D:CD, by direct equality. F. 22 [Proposition 25 has been omitted, as being of little use.] **BOOK VI. DEFINITIONS. 1. Similar rectilineal figures...each to each, and the sides about the equal angles** proportional. Of the two requisites for similarity among figures, namely, equiangularity and proportionality... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...A. Our attention was drawn to this generalisation of VI. 3 and VI. A. by Mr. R. Levett, MA DEF.— **Similar rectilineal figures are those which have their...each to each and the sides about the equal angles** proportional. PROPOSITION 4. The sides about the equal angles of triangles which are equiangular to... | |
| John Fry Heather - 1890 - 252 sider
...have all their dimensions equal respectively the one to the other. 24. Two figures which have their **angles equal each to each, and the sides about the equal angles** proportional, are said to be similar. 25. A figure contained by three straight lines is called a triangle.... | |
| Ephraim Hunt - 1896 - 120 sider
...each to each, and their corresponding sides have a common ratio. Or, Similar triangles have all their **angles equal, each to each, and the sides about the equal angles** proportional. Draw a right triangle. Base 4 inches, perpendicular 3 inches. Measure hypotenuse; scale,... | |
| Sidney Herbert Wells - 1900 - 202 sider
...rhombus, parallel to and surrounding it, and |" away. (Obtain the 45° by bisecting a right angle. ) **figures are those which have their several angles...each to each, and the sides about the equal angles** proportional to each other. Hence to draw one figure similar to another, it is necessary to know how... | |
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