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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 Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 sider
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...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...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Bind 1

Isaac Dalby - 1807 - 476 sider
...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 ::...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Bind 5

John Mason Good - 1813 - 714 sider
...with those 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...and the sides about the equal angles proportionals. 2. Reciprocal figures, viz. triangles and parallelograms, are such as have their sides about two of...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
....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...
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Universal Technological Dictionary: Or, Familiar Explanations of the ..., Bind 2

George Crabb - 1823 - 704 sider
...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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 sider
...GEOMETRY. BOOK IV. DEFINITIONS. I. — SIMILAR rectilineal figures are those which have their Book IV> several angles equal, each to each, 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...magnitudes be proportional the two extremes shall be greater than double of the mean. EUCLID'S ELEMENTS. BOOK VI. DEFINITIONS. 1. Similar rectilineal figures are those which have their angles equal each to each, and the sides about the equal angles proportional. 2. Reciprocal figures...
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