Elements of GeometryHilliard and Metcalf, 1825 - 224 sider |
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Resultat 6-10 av 54
Side 6
... taken together , are equal to two right angles ; also the other angles ACD , BCD , are together equal to two right angles . In general , if any number of straight lines , as CA , CB ( fig . 22 ) , & c . , meet in the same point C , the ...
... taken together , are equal to two right angles ; also the other angles ACD , BCD , are together equal to two right angles . In general , if any number of straight lines , as CA , CB ( fig . 22 ) , & c . , meet in the same point C , the ...
Side 10
... taken indifferently for a base ; and then its vertex is that of the opposite angle . In an isosceles triangle , the base is that side which is not equal to one of the others . Fig . 20 . Fig . 30 . THEOREM . 48. Reciprocally , if two ...
... taken indifferently for a base ; and then its vertex is that of the opposite angle . In an isosceles triangle , the base is that side which is not equal to one of the others . Fig . 20 . Fig . 30 . THEOREM . 48. Reciprocally , if two ...
Side 13
... taken in the direction AE , let fall upon AB the perpendicular FG ; the point G will not fall upon A , since the angle FAB is less than a right angle ; still less can it fall upon H in BA produced , for then there would be two ...
... taken in the direction AE , let fall upon AB the perpendicular FG ; the point G will not fall upon A , since the angle FAB is less than a right angle ; still less can it fall upon H in BA produced , for then there would be two ...
Side 14
... taken double of AF , we shall find that AM is exactly double of AG ; also , if AL be taken triple of AF , we shall find that A is triple of AG , and in general there will always be the same ratio between AM and AG , that there is ...
... taken double of AF , we shall find that AM is exactly double of AG ; also , if AL be taken triple of AF , we shall find that A is triple of AG , and in general there will always be the same ratio between AM and AG , that there is ...
Side 15
... taken together would be equal to four right angles . But the sum of the two angles BAM , ABD , is greater than two right angles , therefore the sum of the two remaining ones BAN , ABF , is less than two right angles , and the two right ...
... taken together would be equal to four right angles . But the sum of the two angles BAM , ABD , is greater than two right angles , therefore the sum of the two remaining ones BAN , ABF , is less than two right angles , and the two right ...
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Vanlige uttrykk og setninger
ABC fig adjacent angles altitude angle ACB angle BAD angles equal base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle intersection isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence
Populære avsnitt
Side 65 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Side 21 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Side 63 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 22 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Side ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Side 80 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 164 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Side 24 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 153 - XVII.) ; hence two similar pyramids are to each other as the cubes of their homologous sides.