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 63
... demon- stration be made obvious to the eye like a geometrical one . of whom is worth $ 10000 , and the other PART II Of Geometrical Proportions and Similarity of Triangles Theory of Geometrical Proportions Similarity of Triangles.
... demon- stration be made obvious to the eye like a geometrical one . of whom is worth $ 10000 , and the other PART II Of Geometrical Proportions and Similarity of Triangles Theory of Geometrical Proportions Similarity of Triangles.
Σελίδα 182
... , another arc cutting the first . 3. Through the point of intersection C and the point D draw a straight line CD , which will be perpendicular to the line MN . DEMON . The three sides of the triangle BCD are 182 GEOMETRY .
... , another arc cutting the first . 3. Through the point of intersection C and the point D draw a straight line CD , which will be perpendicular to the line MN . DEMON . The three sides of the triangle BCD are 182 GEOMETRY .
Σελίδα 183
Francis Joseph Grund. DEMON . The three sides of the triangle BCD are equal to the three sides of the triangle ACD ; each to each , viz . the side BC equal to AC 66 66 ' BD 66 " DA CD 66 " CD ; therefore the three angles in the triangle ...
Francis Joseph Grund. DEMON . The three sides of the triangle BCD are equal to the three sides of the triangle ACD ; each to each , viz . the side BC equal to AC 66 66 ' BD 66 " DA CD 66 " CD ; therefore the three angles in the triangle ...
Σελίδα 184
... DEMON . The two triangles Am D , Am E , have the three sides in the one , equal to the three sides in the other , viz . the side AD to the side AE = " mD 66 66 66 m E and " " Am = 66 66 Am ; consequently these two triangles are equal to ...
... DEMON . The two triangles Am D , Am E , have the three sides in the one , equal to the three sides in the other , viz . the side AD to the side AE = " mD 66 66 66 m E and " " Am = 66 66 Am ; consequently these two triangles are equal to ...
Σελίδα 185
... DEMON . The two triangles ABD , ACD , have two sides AB , AD , in the one , equal to two sides AC , AD , in the other , each to each ; ( AC , AB , being radii of the same circle , and the side AD being common to both ) ; and have the ...
... DEMON . The two triangles ABD , ACD , have two sides AB , AD , in the one , equal to two sides AC , AD , in the other , each to each ; ( AC , AB , being radii of the same circle , and the side AD being common to both ) ; and have the ...
Άλλες εκδόσεις - Προβολή όλων
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...