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 5
... legs of the an- gle . When a straight line meets another , so as to make the two adjacent angles equal , the angles are called right angles ,. and the lines are said to be perpendicular to each other , Any angle smaller than a right ...
... legs of the an- gle . When a straight line meets another , so as to make the two adjacent angles equal , the angles are called right angles ,. and the lines are said to be perpendicular to each other , Any angle smaller than a right ...
Σελίδα 6
... legs . Here the teacher may state , that the circle is divided into 360 equal parts , called degrees ; each degree , again , into 60 equal parts , called min- utes ; a minute , again , subdivided into 60 equal parts , called seconds ...
... legs . Here the teacher may state , that the circle is divided into 360 equal parts , called degrees ; each degree , again , into 60 equal parts , called min- utes ; a minute , again , subdivided into 60 equal parts , called seconds ...
Σελίδα 136
... legs . Q. How can you show this ? A. I divide the whole of the arc AD succes- sively into smaller and smaller parts , until one of the points of division shall have fallen upon B. Then , it is evident that by drawing to the points of ...
... legs . Q. How can you show this ? A. I divide the whole of the arc AD succes- sively into smaller and smaller parts , until one of the points of division shall have fallen upon B. Then , it is evident that by drawing to the points of ...
Σελίδα 137
... legs . The reason is now apparent ; for the arcs intercepted between their legs are in proportion to the an- gles at the centre . Remark 2. If the circumference of a circle is divided into 360 equal parts , called degrees ; each decree ...
... legs . The reason is now apparent ; for the arcs intercepted between their legs are in proportion to the an- gles at the centre . Remark 2. If the circumference of a circle is divided into 360 equal parts , called degrees ; each decree ...
Σελίδα 138
Francis Joseph Grund. of the arc intercepted by its legs ; but merely upon the number of degrees , minutes , seconds , & c . it measures of the circumference of the circle , of which that arc is a part . Thus , if the angle BAC mea ...
Francis Joseph Grund. of the arc intercepted by its legs ; but merely upon the number of degrees , minutes , seconds , & c . it measures of the circumference of the circle , of which that arc is a part . Thus , if the angle BAC mea ...
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...