Libros Libros SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 165
por Euclides - 1814
Vista completa - Acerca de este libro ## Dublin examination papers

Dublin city, univ - 1876
...the other segment. If the whole line be 10 feet long, find the lengths of the segments. 2. Prove that similar triangles are to one another in the duplicate ratio of their sides. Divide a triangle into three equal parts by right lines drawn parallel to its base. 3. Divide...
Vista completa - Acerca de este libro ## Mathematical exercises

Samuel H.. Winter - 1877
...have the same base, are to one another as their altitudes. 7. Define duplicate ratio, and prove that similar triangles are to one another in the duplicate ratio of their homologous sides. On the side AB of a triangle ABC, AD is taken equal to one third of AB ; and on AC, AE is taken equal...
Vista completa - Acerca de este libro ## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...HE, HF. Then EHF is the triangle required, for it is isosceles and equal to EFG, that is, to ABC. 10. Similar triangles are to one another in the duplicate ratio of their homologous sides. 11. Given a point O in the line AB, find two other points 0, J?, such that a line OP given in direction...
Vista completa - Acerca de este libro ## Elementary geometry

James Maurice Wilson - 1878
...triangle DEF in the duplicate ratio of BC to EF. THEOREM 16. The areas of similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. Let ABCDE, PQ_RST\3z similar polygons. JD S Divide each of them into the same number of similar triangles...
Vista completa - Acerca de este libro ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...and this has been proced of triangles (P. 34). Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. Cor. 2. If to AB and FG, two of the homologous sides ; of the polygon, a third proportional M Is taken...
Vista completa - Acerca de este libro ## Elementary algebra: with brief notices of its history

Robert Potts - 1879
...triplícala ratios in Geometry correspond to the ratios of the squares and cubes in Algebra : — 1. Similar triangles are to one another in the duplicate ratio of their homologous sides. (Eue. VI. 19.) Let а, Ь, с ; a', I', c' represent the sides of two similar triangles ; Then, because...
Vista completa - Acerca de este libro ## Elementary algebra, with brief notices of its history

Robert Potts - 1879
...triplicate ratios in Geometry correspond to the ratios of the squares and cubes in Algebra : — 1. Similar triangles are to one another in the duplicate ratio of their homologous sides. (Eue. VI. 19.) Let а, Ь, с ; a', V, ¿ represent the sides of two similar triangles ; Then, because...
Vista completa - Acerca de este libro ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...or more sides may be described, on a given line, similar to a given fig. PROPOSITION XIX. THEOREM. Similar triangles are to one another in the duplicate ratio of their houwlogous sides. H Let ABC, DEF be similar A s, haying L s at A, B, C= L s at D, E, F respectively,...
Vista completa - Acerca de este libro ## Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 páginas
...BC, AC meet the tangents at A, B in D, E; prove that AB is a mean proportional between AD, BE. 12. Similar triangles are to one another in the duplicate ratio of their homologous sides. TRIGONOMETRY. Examiner.— Prof. C. NIVEN. Lieutenants qualifying for gunnery and torpedo officers....
Vista completa - Acerca de este libro ## Military examinations. Mathematical examination papers, set for entrance to ...

...inscribe a triangle equiangular to a given triangle. Show how to inscribe a circle in a given rhombus. 9. Similar triangles are to one another in the duplicate ratio of their homologous sidos. The sides of a regular hexagon ABCDEF are produced both ways, forming with each other six points...
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