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 Llibres Llibres In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Pàgina 191
per Euclid, Robert Simson - 1806 - 518 pàgines
Visualització completa - Sobre aquest llibre ## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...XXXI. THEOR. In a right-angled triangle (ACB), the rectilinear figure described upon the side (AB) opposite to the right angle, is equal to the similar and similarly described figures upon the sides (AC, CB) containing the right angle. From the vertex of the right angle draw CD perpendicular to the...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pàgines
...Which was to be done. PROP. XXXI. THEOR. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC: the rectilineal figure described upon BC shall be...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pàgines
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (46....
Visualització completa - Sobre aquest llibre ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pàgines
...to be done. PROPOSITION XXXI. THEOB. — In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. Draw the perpendicular AD : Therefore, because in the right-angled triangle ABC, AD is drawn from the...
Visualització completa - Sobre aquest llibre ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...def. 3.) QEfPROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal Jigure described upon the side opposite to the right angle, is equal to the similar and similarly described fgures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pàgines
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (46....
Visualització completa - Sobre aquest llibre ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC, and upon AB, AC, BC let any similar and similarly...
Visualització completa - Sobre aquest llibre ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...PROP. XXX. PROBLEM. PROP. XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. PROP. XXXII. THEOREM. If two triangles which have two sides of the one proportional to two sides of...
Visualització completa - Sobre aquest llibre ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (i....
Visualització completa - Sobre aquest llibre ## The English Journal of Education, Volum 6

1852
...are opposite to the homologous sides. 3. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. SECTION V. — 1. If two lines be drawn bisecting each other, the lines which join their extremities...
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