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 Books Books If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 22
by John Mason Good - 1819
Full view - About this book ## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...angles reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one equal to one angle of the other, and their sides...reciprocally proportional, are equal to one another. In a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, it...
Full view - About this book ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...EB and of В С to В F ; 39. being cited instead of 35. Therefore, &c. Cor. Triangles, which have one angle of the one equal to one angle of the other, are to one another as the rectangles under the sides about the equal angles (37.). PROP. 41. (Eue....
Full view - About this book ## A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

...that are the same to the same ratio, are the same to one another. 13. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. M. In a plane triangle, of which...
Full view - About this book ## Library of Useful Knowledge: Natural philosophy, Volume 3

1834
...A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are equiangular, and consequently similar...
Full view - About this book ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pages
...is found. Which was to be done. a 11. 1. b 31. 3. PROP. XIV. THEOR. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms that have one...
Full view - About this book ## Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

Mathematics - 1835
...angles reciprocally proportional, are equal to one another; and, conversely, equal triangles, which have one angle of the one equal to one angle of the other, have the sides about the equal angles reciprocally proportional . .66 (g) Two triangles are similar,...
Full view - About this book ## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...the equal angles reciprocally proportional, are equal to one another. XV. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle...
Full view - About this book ## The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one...
Full view - About this book ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 pages
...proportional : And pa allelograms which have one angle of the one equal to one angle of the ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another. Let AB, BC be equal parallel- ^ xt ograms, which have the angles at B rr \ equal, and let the sides...
Full view - About this book ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 390 pages
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals ; the remaining angles are equal, each to each, viz.,...
Full view - About this book