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 Llibres Llibres 11 - 20 de 167 sobre 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. The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Pàgina 167
per Robert Simson - 1762 - 466 pàgines
Visualització completa - Sobre aquest llibre ## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 pàgines
...given flraight line fimilar to one given, »nd fo on. Which was to be done. PROP. XIX. THE OR. S IMILAR triangles are to one another in the duplicate ratio of their homologous fides. D 13. def-5. Let ABC, DEF be fimilar triangles, havfng the angle B equal to the angle E, and let AB...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...fides, and it has already been proved in triangles. Therefore univerfally, fimilar rectilineal figures are to one another in the duplicate ratio of their homologous fides. CoR. 2. And if to AB, FG two of the homologous fides a h.io.Def.5. third proportional M be taken, AH...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pàgines
...described upon a given straight line similar to one given. Which was to be done. PROP. XIX. THEOR. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. Let ABC, DEF be two similar triangles, having the angle B equal to the angle E ; and let AB...
Visualització completa - Sobre aquest llibre ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...rectilineal figure similar, and similarly situated to a given rectilineal figure. Prop. XIX. Tbeor. Similar triangles are to one another in the duplicate ratio of their homologous sides. Prop. XX. Theor. Similar polygons may be divided into the same number of similar triangles,...
Visualització completa - Sobre aquest llibre ## The Eclectic review. vol. 1-New [8th]

1814
...he should have met it before. The demonstration of the 19tb Prop, of Euclid's 6th book, ie " Similar triangles are to one another in the duplicate ratio of their homologous sides," requires the previous or the syn hro nous establishment of Props, vi. 11, v. 16, v. 11, vi....
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pàgines
...given straight line similar to one given, and so on. Which was to be done. PROP. XIX. THEOR. 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...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pàgines
...given straight line similar Co one given, and so on. Which was to be done. ^ PROP. XIX. THEOR. Similar triangles are to one another in the duplicate ratio of their homologous sides. D Let ABC, DEF be similar triangles, having the angle B equal to the angle E, and let AB be...
Visualització completa - Sobre aquest llibre ## The Elements of geometry [Euclid book 1-3] in general terms, with ..., Part 3

Euclides - 1821
...from the proportionality of the sides about 'the «£^.s composing them. 52 PROP. XIX. THEOR. Similar triangles are to one another in the duplicate ratio of their homologous sides. Assume on the greater base from either extremity a third proportional to that base and the homologous...
Visualització completa - Sobre aquest llibre ## A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 434 pàgines
...the triangle ABC is to the triangle ADE, as the square of BC to the square of DE. That is, similar triangles are to one another in the duplicate ratio of their homologous sides. (Euc. VI. 19. Simp. IV. 24. Em. II. BC THEOREM XIV. In any triangle ABC, double the square of...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 pàgines
...triangles are to one another in the duplieate 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, ag DE to EF, so that the side BC is homologous to EF (def. 13. 5.): the triangle ABC hag to the triangle...
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