First lessons in Plane Geometry. Together with an application of them to the solution of problems, etcCarter and Hendee, 1830 - 12 σελίδες |
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Σελίδα 36
Francis Joseph Grund. EF , or ( in Fig . II . ) the difference between the equal distances , must be equal ; that is , the lines CD , EF , must likewise be equidistant ; and consequently , parallel to each other . QUERY XIV . What is the ...
Francis Joseph Grund. EF , or ( in Fig . II . ) the difference between the equal distances , must be equal ; that is , the lines CD , EF , must likewise be equidistant ; and consequently , parallel to each other . QUERY XIV . What is the ...
Σελίδα 77
... difference con- sists in the mean terms having now become the extreme terms , and vice versa . If we change the order of our ratios , namely , 12 : 38 : 2 , the result of the multiplication of the mean and extreme terms is still the ...
... difference con- sists in the mean terms having now become the extreme terms , and vice versa . If we change the order of our ratios , namely , 12 : 38 : 2 , the result of the multiplication of the mean and extreme terms is still the ...
Σελίδα 132
... two circles touch each other interiorly ? A. When the distance OP between their centres , O and P , is equal to the difference between their radii , OM and PM . ОР M QUERY V. When are the circumferen- ces of two circles 132 GEOMETRY .
... two circles touch each other interiorly ? A. When the distance OP between their centres , O and P , is equal to the difference between their radii , OM and PM . ОР M QUERY V. When are the circumferen- ces of two circles 132 GEOMETRY .
Σελίδα 164
... difference between the circumference of a cir- cle and the sum of all the sides of an inscribed polygon of a great number of sides is imper- ceptible ( last Query ) , we may say that the cir- cumferences themselves are in the same ratio ...
... difference between the circumference of a cir- cle and the sum of all the sides of an inscribed polygon of a great number of sides is imper- ceptible ( last Query ) , we may say that the cir- cumferences themselves are in the same ratio ...
Σελίδα 165
Francis Joseph Grund. number of sides is inscribed , the difference be- tween the areas of the polygons and the areas of the circles themselves will be impercepti- ble ; and because the areas of two regular polygons of the same number of ...
Francis Joseph Grund. number of sides is inscribed , the difference be- tween the areas of the polygons and the areas of the circles themselves will be impercepti- ble ; and because the areas of two regular polygons of the same number of ...
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First Lessons in Plane Geometry: Together with an Application of Them to the ... Francis Joseph Grund Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2009 |
First Lessons in Plane Geometry: Together with an Application of Them to the ... Francis Joseph Grund Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2009 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles angle ABC angle ACB angle opposite angle x basis and height bisected called centre chord circum circumference circumscribed circle consequently construct the triangle DEMON diagonal diameter draw the lines equal angles exterior angle figure ABCDEF found by multiplying fourth term geometrical figures geometrical proportion given angle given circle given straight line given triangle hypothenuse isosceles triangle line AB line AC line CD line MN LUDOLPH VAN CEULEN mean proportional number of sides parallel lines parallelogram perpendicular points of division PROBLEM prove quadrilateral Query 11 radii radius ratio rectilinear figure regular polygon ABCDEF remaining sides Remark right angles right-angular triangle Sect semicircle side AB side AC similar triangles smaller SOLUTION square feet square inches square seconds tangent third line three angles three sides trapezoid trian triangle ABC triangle are equal vertex zoid
Δημοφιλή αποσπάσματα
Σελίδα 195 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 94 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Σελίδα 211 - HDG, the corresponding sides are proportional (page 70, 4thly) ; therefore we have the proportion ED : DG =AD : HD (II.) This last proportion has the first ratio common with the first proportion ; consequently the two remaining ratios are in a geometrical proportion (Theory of Prop., Prin. 3d) ; that is, we have AD : HD = DG: BD; and as, in...
Σελίδα 173 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 176 - 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.
Σελίδα 175 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Σελίδα 129 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...