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 iii
... forming properly a supplement to this arithmetic , is prefixed to the work under the title of an Introduction . The parts omitted in the former edition of this translation on spherical isoperimetrical polygons , and on the regular poly ...
... forming properly a supplement to this arithmetic , is prefixed to the work under the title of an Introduction . The parts omitted in the former edition of this translation on spherical isoperimetrical polygons , and on the regular poly ...
Σελίδα x
... formed by the multiplication of three equal factors ; each of these factors is the cube root of this product ; 125 is the product of 5 multiplied twice by itself , or 5 × 5 × 5 ; and 5 is the cube root of 125 . In general A2 , being an ...
... formed by the multiplication of three equal factors ; each of these factors is the cube root of this product ; 125 is the product of 5 multiplied twice by itself , or 5 × 5 × 5 ; and 5 is the cube root of 125 . In general A2 , being an ...
Σελίδα 5
... formed on the same side of the straight Fig . 34 . line BF , are together equal to two right angles ; for their sum is equal to that of the two angles BAM , MAF ; AM being perpen- dicular to BF . THEOREM . 32. Two straight lines , which ...
... formed on the same side of the straight Fig . 34 . line BF , are together equal to two right angles ; for their sum is equal to that of the two angles BAM , MAF ; AM being perpen- dicular to BF . THEOREM . 32. Two straight lines , which ...
Σελίδα 6
... formed about a point by two straight lines which cut each other , are together equal to four right angles ; for the angles ACE , BCE , taken together , are equal to two right angles ; also the other angles ACD , BCD , are together equal ...
... formed about a point by two straight lines which cut each other , are together equal to four right angles ; for the angles ACE , BCE , taken together , are equal to two right angles ; also the other angles ACD , BCD , are together equal ...
Σελίδα 22
... formed by two chords , as BAC . An inscribed triangle is a triangle whose three angles have their vertices in the circumference of the circle , as BAC . * In common discourse the circle is sometimes confounded with its circumference ...
... formed by two chords , as BAC . An inscribed triangle is a triangle whose three angles have their vertices in the circumference of the circle , as BAC . * In common discourse the circle is sometimes confounded with its circumference ...
Άλλες εκδόσεις - Προβολή όλων
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
Δημοφιλή αποσπάσματα
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.