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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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 14
... follow- ing signs : = stands for equal ; e . g . , the line AB = CD , means , that the line AB is equal to the line CD . + stands for plus or more ; e . g . , the lines AB + CD , means , that the length of the line CD is to be added to ...
... follow- ing signs : = stands for equal ; e . g . , the line AB = CD , means , that the line AB is equal to the line CD . + stands for plus or more ; e . g . , the lines AB + CD , means , that the length of the line CD is to be added to ...
Σελίδα 21
... common , what must necessarily follow ? A. They must coincide with each other throughout , and make but one and the same straight line . Q. How can you C- M A -B prove this GEOMETRY . 21 SECTION I Of Straight Lines and Angles.
... common , what must necessarily follow ? A. They must coincide with each other throughout , and make but one and the same straight line . Q. How can you C- M A -B prove this GEOMETRY . 21 SECTION I Of Straight Lines and Angles.
Σελίδα 28
... follow that the other parallel line CD , must also be perpendicular to it ? A. Yes . Because I have proved ( query 7 ) that two lines , which are both perpendicular to a third line , must be parallel ; and this is only the reverse of it ...
... follow that the other parallel line CD , must also be perpendicular to it ? A. Yes . Because I have proved ( query 7 ) that two lines , which are both perpendicular to a third line , must be parallel ; and this is only the reverse of it ...
Σελίδα 35
... follows that every point in the line CD must be at an equal distance from the line AB ; and be- cause EF is also parallel to AB , every point in the line EF must also be at an equal distance from the line AB ; and therefore ( in Fig . I ...
... follows that every point in the line CD must be at an equal distance from the line AB ; and be- cause EF is also parallel to AB , every point in the line EF must also be at an equal distance from the line AB ; and therefore ( in Fig . I ...
Σελίδα 46
... fore be the greatest angle in the triangle ABD . Q. But does it follow , that because the greater angle is opposite to the greater side , the greater side is opposite to the greater angle ? A. Yes . For if , in the last figure 46 GEOMETRY .
... fore be the greatest angle in the triangle ABD . Q. But does it follow , that because the greater angle is opposite to the greater side , the greater side is opposite to the greater angle ? A. Yes . For if , in the last figure 46 GEOMETRY .
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...