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 34
... remain throughout equidistant . Q. When do you call two lines equidistant ? A. When all the perpendiculars , dropped ... side MP common ; and the angle a is equal to the angle b ; because a and b are alternate angles , formed by the two ...
... remain throughout equidistant . Q. When do you call two lines equidistant ? A. When all the perpendiculars , dropped ... side MP common ; and the angle a is equal to the angle b ; because a and b are alternate angles , formed by the two ...
Σελίδα 43
... side ab = AB , 66 α c = AC , 66 bc BC . The angle at a = angle at A , 66 b 66 = 66 66 C = B , C. Then the sides , AB , AC , a b , a c , being all equal to one another , and the angle at a remaining the same , whichever way we place it ...
... side ab = AB , 66 α c = AC , 66 bc BC . The angle at a = angle at A , 66 b 66 = 66 66 C = B , C. Then the sides , AB , AC , a b , a c , being all equal to one another , and the angle at a remaining the same , whichever way we place it ...
Σελίδα 59
... sides of a parallelogram are equal : that is , the side CD is equal to the side AB , and the side CA to the side DB ... remain but the two angles , ACD and ABD , each of which must be equal to half of what is wanting to complete the sum ...
... sides of a parallelogram are equal : that is , the side CD is equal to the side AB , and the side CA to the side DB ... remain but the two angles , ACD and ABD , each of which must be equal to half of what is wanting to complete the sum ...
Σελίδα 61
... remaining side of the figure will , together with two diagonals , form a triangle ; therefore there will be as many triangles formed , as there are sides less the two , which are additionally employed in the forma- tion of the two ...
... remaining side of the figure will , together with two diagonals , form a triangle ; therefore there will be as many triangles formed , as there are sides less the two , which are additionally employed in the forma- tion of the two ...
Σελίδα 69
... remain- ing ratios will , again , make a proportion ; for if two ratios be equal to the same ratio , they must be ... sides , AB and a b , are in proportion to the sides , AC and a c , and also in proportion to the sides , BC and b c ...
... remain- ing ratios will , again , make a proportion ; for if two ratios be equal to the same ratio , they must be ... sides , AB and a b , are in proportion to the sides , AC and a c , and also in proportion to the sides , BC and b c ...
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...