Elements of Geometry...: Translated from the French for the Use of the Students of the University at Cambridge, New EnglandHilliard and Metcalf, 1825 - 224 σελίδες |
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Σελίδα 105
... inclination of two planes is the quantity , whether greater or less , by which they depart from each other ; this quantity is measured by the angle contained by two straight lines drawn from the same point per- pendicularly to the ...
... inclination of two planes is the quantity , whether greater or less , by which they depart from each other ; this quantity is measured by the angle contained by two straight lines drawn from the same point per- pendicularly to the ...
Σελίδα 108
... inclination of the oblique line AB to the plane MN . It is manifest that this incli- nation is the same for all the oblique lines AB , AC , AD , & c . , which depart equally from the perpendicular ; for all the trian- gles ABP , ACP ...
... inclination of the oblique line AB to the plane MN . It is manifest that this incli- nation is the same for all the oblique lines AB , AC , AD , & c . , which depart equally from the perpendicular ; for all the trian- gles ABP , ACP ...
Σελίδα 117
... inclination to each other as the planes of the homologous angles in the other . = Demonstration . Let the angle ASC DTF ( fig . 197 ) , the Fig . 197 . angle ASB DTE , and the angle BSC ETF ; we say that the two planes ASC , ASB , will ...
... inclination to each other as the planes of the homologous angles in the other . = Demonstration . Let the angle ASC DTF ( fig . 197 ) , the Fig . 197 . angle ASB DTE , and the angle BSC ETF ; we say that the two planes ASC , ASB , will ...
Σελίδα 118
... inclination of the two planes ASB , ASC ; and the angle PDE is the inclina- tion of the two planes DTE , DTF ; therefore these two inclina- tions are equal to each other . It should be observed , however , that the angle A of the right ...
... inclination of the two planes ASB , ASC ; and the angle PDE is the inclina- tion of the two planes DTE , DTF ; therefore these two inclina- tions are equal to each other . It should be observed , however , that the angle A of the right ...
Σελίδα 120
... inclination of the planes SAB , SAC , in the solid angle . When the point O falls between A and B ' in the plane figure , the angle EAb becomes obtuse , and always measures the true inclination of the planes . It is on this account that ...
... inclination of the planes SAB , SAC , in the solid angle . When the point O falls between A and B ' in the plane figure , the angle EAb becomes obtuse , and always measures the true inclination of the planes . It is on this account that ...
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Elements of Geometry...: Translated from the French for the Use of the ... Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2020 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 geometry 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 triangular prism triangular pyramids vertex vertices whence
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Σελίδα 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...
Σελίδα 9 - 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.
Σελίδα 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 9 - Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts.
Σελίδα 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...
Σελίδα 61 - 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'.
Σελίδα 166 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 153 - 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.
Σελίδα 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Σελίδα 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.