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 25
... circle may be made to pass through any three points , A , B , C ( fig . 52 ) , which are not in the same Fig . 52 . Geom 4 straight line , but the circumference of only one circle Of the Circle . 25.
... circle may be made to pass through any three points , A , B , C ( fig . 52 ) , which are not in the same Fig . 52 . Geom 4 straight line , but the circumference of only one circle Of the Circle . 25.
Σελίδα 26
... circle may be made to pass through any three given points , which are not in the same straight line ; it remains to show , that there is only one circle , which can be so described . If there were another circle , the circumference of ...
... circle may be made to pass through any three given points , which are not in the same straight line ; it remains to show , that there is only one circle , which can be so described . If there were another circle , the circumference of ...
Σελίδα 27
... circle , and the line BD has only the point A in common with the circum- ference ; therefore BD is a tangent ( 97 ) ... circle and become a secant . Fig . 55 . Fig . 56 . THEOREM . Of the Circle . 27.
... circle , and the line BD has only the point A in common with the circum- ference ; therefore BD is a tangent ( 97 ) ... circle and become a secant . Fig . 55 . Fig . 56 . THEOREM . Of the Circle . 27.
Σελίδα 28
... circles cut each other in two points , the line which passes through their centres will be perpen- dicular to the chord , which joins the points of intersection , and will bisect it . Demonstration . The line AB ( fig . 57 , 58 ) ...
... circles cut each other in two points , the line which passes through their centres will be perpen- dicular to the chord , which joins the points of intersection , and will bisect it . Demonstration . The line AB ( fig . 57 , 58 ) ...
Σελίδα 29
... circles will cut each other . 58 . Demonstration . In order that the intersection may take place , the triangle ACD ( fig . 57 , 58 ) must be possible . It is necessary Fig . 57 , then , not only that CD ... circle , or Of the Circle . 29.
... circles will cut each other . 58 . Demonstration . In order that the intersection may take place , the triangle ACD ( fig . 57 , 58 ) must be possible . It is necessary Fig . 57 , then , not only that CD ... circle , or Of the Circle . 29.
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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.