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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... "
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... - Σελίδα 207
των Isaac Dalby - 1807
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 σελίδες
...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,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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...and the sides about the equal angles proportional. Book VI. Two sides of one figure are said to be reciprocally proportional to two sides of another,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...very frequentlv made use of by geometers. THE ELEMENTS OF EUCLID. BOOK VI. DEFINITIONS. BookVI. I. SIMILAR rectilineal figures are those which have their...each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, are such See KK " as have...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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...each, to each, and the sides about the equal angles proportionals. 2. Reciprocal figures, viz. triangles and parallelograms, are such as have their sides...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 σελίδες
...geometers. THE ELEMENTS O» EUCLID. BOOK VI. DEFINITIONS. SIMILAR rectilineal figures -x'1 Boo* VI. 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 See N. " such as have...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
....i ' . i m ELEMENTS EUCLID. . ( BOOK VI. DEFINITIONS. I. SIMILAR rectilineal . figures .s\ BouK VI. 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 See N, "such as have...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...whatever be the number of ratios. Therefore, &c. ' Q, ED ELEMENTS GEOMETRY. BOOK VI. DEFINITIONS. I. S~'IMILAR rectilineal figures are those which have...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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...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...

Universal Technological Dictionary: Or, Familiar Explanations of ..., Τόμος 2

George Crabb - 1823 - 704 σελίδες
...and equilateral ; irregular, when they are not equiangular and equilateral. — Similar rectilinear ^figures are those which have their several angles...and the sides about the equal angles proportional. — Reciprocal ^figures, ie triangles and parallelograms, are such as have their sides about two of...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...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 are such as have their sides about two of their angles proportional in such a...




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