Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: To which are Added, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 16
Pagina 2
... polygons , by more than four straight lines . XIX . Of three - sided fig- ures , an equilateral triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal . AA XXI . A scalene ...
... polygons , by more than four straight lines . XIX . Of three - sided fig- ures , an equilateral triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal . AA XXI . A scalene ...
Pagina 107
... polygons have ; and the polygon ABCDE has to the polygon FGHKL a ratio duplicate of that which the side AB has to the side FG . Join BE , EC , GL , LH ; and because the polygon ABCDE is X similar to the polygon FGHKL , the angle BAE is 2.8 ...
... polygons have ; and the polygon ABCDE has to the polygon FGHKL a ratio duplicate of that which the side AB has to the side FG . Join BE , EC , GL , LH ; and because the polygon ABCDE is X similar to the polygon FGHKL , the angle BAE is 2.8 ...
Pagina 108
... polygons have to one another , the antecedents being ABE , EBC , ECD , and the consequents FGL , LGH , LHK ; and the polygon ABCDE has to the polygon FGHKL the duplicate ratio of that which the side AB has to the homologous side FG ...
... polygons have to one another , the antecedents being ABE , EBC , ECD , and the consequents FGL , LGH , LHK ; and the polygon ABCDE has to the polygon FGHKL the duplicate ratio of that which the side AB has to the homologous side FG ...
Pagina 109
... polygon ABCDE to the polygon FGHKL ; but the triangle ABE has to the triangle FGL the duplicate ratio of that which the side AB has to the homologous side FG . Therefore also the polygon ABCDE has to the polygon FGHKL the duplicate ...
... polygon ABCDE to the polygon FGHKL ; but the triangle ABE has to the triangle FGL the duplicate ratio of that which the side AB has to the homologous side FG . Therefore also the polygon ABCDE has to the polygon FGHKL the duplicate ...
Pagina 125
... polygon described about a circle is greater than the circumference of the circle . AXIOM II . The space which is greater than any polygon that can be inscribed in a given circle , and less than any polygon that can be described about it ...
... polygon described about a circle is greater than the circumference of the circle . AXIOM II . The space which is greater than any polygon that can be inscribed in a given circle , and less than any polygon that can be described about it ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore