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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  "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Side 119
af John Playfair - 1856 - 318 sider
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The Elements of geometry; or, The first six books, with the eleventh and ...

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...
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Practical geometry for art students

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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The Imperial Dictionary of the English Language: A Complete ..., Bind 4

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*...
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The Imperial dictionary, on the basis of Webster's English dictionary, Bind 3

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...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

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...
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The Harpur Euclid: An Edition of Euclid's Elements

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...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

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....
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Geometry for Grammar Schools

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,...
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Engineering Drawing and Design (A Text-book Of): Including Practical ...

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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