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" Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their... "
Practical geometry for art students - Page 45
by John Carroll (art master.) - 1881
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...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 - Trigonometry - 1806 - 546 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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 ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...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) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 have their...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 pages
...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 pages
....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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...whatever be the number of ratios. Therefore, &c. ' Q, ED ELEMENTS GEOMETRY. BOOK VI. DEFINITIONS. I. S~'IMILAR rectilineal figures are those which have...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...demonstrated, whatever be the number of ratios. Therefore. &c. ELEMENTS OF , GEOMETRY. BOOK VI. DEFINITIONS. I. SIMILAR rectilineal figures are those which have their several angles equal, each to ea''h, and the sides about the equal angles proportionals. Two sides of one figure are said to be reciprocally...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823 - 704 pages
...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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