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 59
... and ABD , each of which must be equal to half of what is wanting to complete the sum of the four right angles . Q. If you have a quadrilateral , in which the opposite sides are respectively equal , does it follow that GEOMETRY . 59.
... and ABD , each of which must be equal to half of what is wanting to complete the sum of the four right angles . Q. If you have a quadrilateral , in which the opposite sides are respectively equal , does it follow that GEOMETRY . 59.
Σελίδα 65
... half of the side AC , and the side bc half of the side BC ; that is , the three sides , a b , a c , bc , of the triangle a b c , must be in pro- portion to the three sides , AB , AC , BC , of the triangle ABC . Again , if ( Fig . I. and ...
... half of the side AC , and the side bc half of the side BC ; that is , the three sides , a b , a c , bc , of the triangle a b c , must be in pro- portion to the three sides , AB , AC , BC , of the triangle ABC . Again , if ( Fig . I. and ...
Σελίδα 68
... half dol- lar and one hundred half dollars ; or that one hundred dollars are just as many times greater than one dollar , as one hundred half dollars are greater than one half dollar . The second pro- portion would still be correct , if ...
... half dol- lar and one hundred half dollars ; or that one hundred dollars are just as many times greater than one dollar , as one hundred half dollars are greater than one half dollar . The second pro- portion would still be correct , if ...
Σελίδα 70
... half of AC ; consequently ab is also half of AB , and , in the second propor- tion , b c is half of BC . Thus , each of the two first terms , ab , a c , is half of its second term ; and consequently each of the third terms , bc , ab ...
... half of AC ; consequently ab is also half of AB , and , in the second propor- tion , b c is half of BC . Thus , each of the two first terms , ab , a c , is half of its second term ; and consequently each of the third terms , bc , ab ...
Σελίδα 71
... half of the line BC . For the line b c , composed of two parts , ab , a c , each measuring exactly one half of the corresponding two parts , AB , AC , of which the line BC is composed , must evident- ly be one half of the whole line BC ...
... half of the line BC . For the line b c , composed of two parts , ab , a c , each measuring exactly one half of the corresponding two parts , AB , AC , of which the line BC is composed , must evident- ly be one half of the whole line BC ...
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...