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 Libri Libri If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Report on the examination for admission to the Royal military academy at ... - Pagina 19
di Woolwich roy. military acad - 1861
Visualizzazione completa - Informazioni su questo libro ## Principles of psychology

Herbert Spencer - 1910
...foregoing theorem is inconveniently long. We shall find a titter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...
Visualizzazione completa - Informazioni su questo libro ## The Teaching of Geometry

David Eugene Smith - 1911 - 339 pagine
...is equal to two right angles. Euclid stated this as follows : " In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles." This states more than is necessary for the basal fact...
Visualizzazione completa - Informazioni su questo libro ## The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 512 pagine
...to draw a straight line parallel to a given straight line. 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. 33. The straight lines joining equal and parallel straight...
Anteprima limitata - Informazioni su questo libro ## Mathematics and the Image of Reason

Mary Tiles - 1991 - 188 pagine
...have been Aristotle's favourite example (Euclid 1926 pp. 320-1). In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. Figure 1 O BCD Construction Let ABC be a triangle and let...
Anteprima limitata - Informazioni su questo libro ## A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 355 pagine
...theorems, in that our geometer himself does so later in the case of equal angles: "In any triangle the exterior angle is equal to the two interior and opposite angles, and the three angles of a triangle are equal to two right angles."136 So here they think it appropriate in a similar...
Anteprima limitata - Informazioni su questo libro ## The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 pagine
...claim in the subsequent chapters of this book. Proposition 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. Proposition 47. In right-angled triangles the square on...
Anteprima limitata - Informazioni su questo libro ## Steno on Muscles

Troels Kardel, Nicolaus Steno - 1994 - 252 pagine
...together in any manner are greater than the remaining one. I. 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. I. 34. In parallelogrammic areas the opposite sides and...
Visualizzazione completa - Informazioni su questo libro ## Pascal: The Man and His Two Loves

John R Cole - 1995 - 349 pagine
...historique et critique, 3d ed. (Rotterdam, 1720), sv "Pascal." 5. "In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles." 6. VMP, 13-15. There is no independent confirmation of...
Anteprima limitata - Informazioni su questo libro ## The Cambridge Companion to Galileo

Peter Machamer - 1998 - 462 pagine
...scientific demonstrations. Using Proclus's analysis of Euclid I, 32 [In any triangle, if one of the sides be produced, the exterior angle is equal to the two...and opposite angles, and the three interior angles are equal to two right angles) as an example for a noncausal demonstration he claimed it could not...
Anteprima limitata - Informazioni su questo libro ## Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - 288 pagine
...the given straight line BC. QEF 8 c ^O Figure 2.5 PROPOSITION 32 In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. [Fig. 2.5] Let ABC be a triangle, and let one side of it...
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