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 8
... , is that which is terminated by one re- entering curve line , all points of which are at an equal distance from one and the same point called the centre . A plane surface thus terminated , is called a circle . Tangent 8 GEOMETRY .
... , is that which is terminated by one re- entering curve line , all points of which are at an equal distance from one and the same point called the centre . A plane surface thus terminated , is called a circle . Tangent 8 GEOMETRY .
Σελίδα 9
Francis Joseph Grund. surface thus terminated , is called a circle . Tangent Radius Drameter Chord The curve line itself is called the circum- ference . Any part of it is called an arc . A straight line drawn from the centre of a circle ...
Francis Joseph Grund. surface thus terminated , is called a circle . Tangent Radius Drameter Chord The curve line itself is called the circum- ference . Any part of it is called an arc . A straight line drawn from the centre of a circle ...
Σελίδα 10
... tangent . ( See the figure on page 9. ) QUESTIONS ON DEFINITIONS . WHAT is that science called , which treats of the extensions of bodies , consid- ered separately from all their other quali- ties ? What are the extensions of bodies ...
... tangent . ( See the figure on page 9. ) QUESTIONS ON DEFINITIONS . WHAT is that science called , which treats of the extensions of bodies , consid- ered separately from all their other quali- ties ? What are the extensions of bodies ...
Σελίδα 138
... line DE is a F G A D D tangent to the circle . ( See Def . page 9. ) B Q. But why can the line ED have no other point common with the circumference ? A. Because the perpendicular AC is the shortest line which 138 GEOMETRY . 79 8 85 90.
... line DE is a F G A D D tangent to the circle . ( See Def . page 9. ) B Q. But why can the line ED have no other point common with the circumference ? A. Because the perpendicular AC is the shortest line which 138 GEOMETRY . 79 8 85 90.
Σελίδα 139
... tangent perpendicular to the tangent , passes , when suffi- ciently far extended , through the centre of the circle . QUERY X. B D K x W A What relation does the angle ACB , measured by the arc AB , bear to the angle y , formed by the ...
... tangent perpendicular to the tangent , passes , when suffi- ciently far extended , through the centre of the circle . QUERY X. B D K x W A What relation does the angle ACB , measured by the arc AB , bear to the angle y , formed by 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...