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 Książki Książki 81–90 z 194 na temat Similar triangles are to one another in the duplicate ratio of their homologous sides..
Similar triangles are to one another in the duplicate ratio of their homologous sides.
Reports on Elementary schools - Strona 766
autor: Her MAjesty' Inspectors of schools - 1850
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## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...described upon a given straight line similar to one given, and so on. QE r. PROPOSITION XIX. THEOREM. Similar triangles are to one another in the duplicate ratio of their homologous sides. Let ABC, DEF be similar triangles, having the angle B equal to the angle E, and let AB be to BC, as...
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## The college Euclid: comprising the first six and the parts of the eleventh ...

...describe a rectilineal figure similar, and similarly situated, to a given rectilineal figure. Prop. 19. Similar triangles are to one another in the duplicate ratio of their homologous sides. Cor. If three straight lines be proportionals as the first is to the third, so is any triangle upon...
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## McGill University Calendar, and Examination Papers

1865
...proportion, and show that it agrees with Euclid's. 9. Find a third proportional to two given lines. 10. Similar triangles are to one another in the duplicate ratio of their homologous sides. 11. If 3 men can mow 7 acres of grass in 5 days of 9 hours each, in how many days of 8 hours each will...
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## A Rudimentary Treatise on Land and Engineering Surveying, with all the ...

Thomas BAKER (Civil Engineer) - 1865 - Liczba stron: 232
...then, the triangle ABC is to the triangle AED as the square of AB is to I lie. square of AE : that is, similar triangles are to one another in the duplicate ratio of their homologous sides. (Euc. VI. 19.) THEOREM VIII. All similar figures are to one another as the squares of their homologous,...
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## Rudimentary treatise on mensuration and measuring

1865
...greatest angle : theorem, 17 ; any two angles being Rven, the, becomes known : theorem, ' ; similar, are to one another in the duplicate ratio of their homologous sides: theorem, 17. Triangular prism, definition of, 52. Triangular fields, method of surveying with chain...
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## A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - Liczba stron: 404
...together with the segmenta of the former will be equal to the square of the radius of the circle. i 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. 4. If two straight lines be at right angles to the same plane, they shall be parallel to one another....
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...Of similar triangles, having the same ratio to one another that the polygons have; and the polygons are to one another in the duplicate ratio of their homologous sides. Let ABCDE, FGHKL be similar polygons, and let AB be the side homologous to the side FG : the polygons...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - Liczba stron: 410
...described upon a given straight line similar to one given, and so on. QEF PROPOSITION XIX. THEOREM. Similar triangles are to one another in the duplicate ratio of their homologous sides. Let ABC, DEF be similar triangles, having the angle B equal to the angle E, and let AB be to BC, as...
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## Report of the commissioners, Tom 6

...inscribed in a circle is equal to the interior and opposite. 7. Describe a circle about a given square. 8. Similar triangles are to one another in the duplicate ratio of their homologous sides. XIX. (Two hours.) Maximum. 1. Translate into French : — Two worthy peasants went together to find...
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## How I rose in the world, Tom 1

How - 1868
...English, Latin, and Greek tongues, and understood (what few lads of my age then understood) , that ' similar triangles are to one another in the duplicate ratio of their homologous sides." In a word, then, I was something of a scholar, and I may well be forgiven if I were a little proud...
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