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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. Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone - Page 31
by Euclid - 1728 ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...angle- is perpendicular to tlie base. Hence an angle can be bisected. PROP, xxxin. THEOREM. (E. 6. 17). If two triangles have one angle of the one equal to one angle of the other and their sides about the equal angles proportionals, Tie triangles are equiangular... ## First Public Examination in Literis Graecis Et Latinis

...segments of the circle. 11. Inscribe an equilateral and equiangular quindecagon in a given circle. 12. 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 shall be equiangular... ## (Report).

Elizabethan club - 1880
...equal to the square on the line which meets it, the line which meets shall touch the circle. 49 10. 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 shall be equiangular... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 7. THEOREM. If two triangles have one. angle of the one equal to one angle of the other, and the sides about two other angles proportionals; then, if each of the remaining... ## Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...circle are equal to one another. 9. Define — .similar rectilineal figures, and reciprocal figures. 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 shall be equiangular... ## Military examinations. Mathematical examination papers, set for entrance to ...

...If AB, BC are sides of the hexagon, prove that the square on AC is three times the square on AB. 10. 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 similar.... ## Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - Measurement - 1881 - 266 pages
...rectangle from their ratio m:n, and its area E. f^jj l^g « = •»/ ; 0=-\l — . Ans. \ n \ m 521. If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal, then the third angles will be... ## Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...produced portion of such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. If two triangles have one angle of the one equal to one angle of the other, and the perpendiculars from the other two angles upon the opposite sides proportional,... ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 292 pages
...Therefore ABC, DEF are also equiangular, and therefore (V. 4) similar. Proposition 6. Theorem. — If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles will be similar.... 