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
... Proportions and Similarity of Triangles . Theory of Geometrical Proportions Similarity of Triangles • Recapitulation of the Truths contained in the Second Section , Part I. Recapitulation of the Truths contained in Part II . Questions ...
... Proportions and Similarity of Triangles . Theory of Geometrical Proportions Similarity of Triangles • Recapitulation of the Truths contained in the Second Section , Part I. Recapitulation of the Truths contained in Part II . Questions ...
Σελίδα 62
... will be as many times two right angles in all the angles of your figure , as there are triangles ; that is , twice as many right an- gles , as the figure has sides less two . SECTION II . PART II . * OF GEOMETRICAL PROPORTIONS 62 GEOMETRY .
... will be as many times two right angles in all the angles of your figure , as there are triangles ; that is , twice as many right an- gles , as the figure has sides less two . SECTION II . PART II . * OF GEOMETRICAL PROPORTIONS 62 GEOMETRY .
Σελίδα 63
... proportions , and to estab- lish every principle geometrically , and by simple induction . Intending the above theory for those who have ... Proportions and Similarity of Triangles Theory of Geometrical Proportions Similarity of Triangles.
... proportions , and to estab- lish every principle geometrically , and by simple induction . Intending the above theory for those who have ... Proportions and Similarity of Triangles Theory of Geometrical Proportions Similarity of Triangles.
Σελίδα 64
... proportion . This is frequently the case in the fine arts ; but particularly in the science of Geometry , from which these proportions are called geometrical . To give an example : If you draw a house , you must draw it according to a ...
... proportion . This is frequently the case in the fine arts ; but particularly in the science of Geometry , from which these proportions are called geometrical . To give an example : If you draw a house , you must draw it according to a ...
Σελίδα 66
... proportion is nothing else than the equality of two ratios , the third way of denoting a proportion , in which the sign of equality is put between the two ratios , seems to be the most natural . The reason why the sign of di- vision ...
... proportion is nothing else than the equality of two ratios , the third way of denoting a proportion , in which the sign of equality is put between the two ratios , seems to be the most natural . The reason why the sign of di- vision ...
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...