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
... Truths contained in the Second Section , Part I. Recapitulation of the Truths contained in Part II . Questions on Proportions Questions on Similarity of Triangles 63 79 * 2 8 85 90 95 97 SECTION III . Of the Measurement of Surfaces 101 ...
... Truths contained in the Second Section , Part I. Recapitulation of the Truths contained in Part II . Questions on Proportions Questions on Similarity of Triangles 63 79 * 2 8 85 90 95 97 SECTION III . Of the Measurement of Surfaces 101 ...
Σελίδα
... Truths in the Third Section 127 SECTION IV . Of the Properties of the Circle . What is meant by Squaring a Circle 131 166 Recapitulation of the Truths contained in the Fourth Section 173 SECTION V. Application of the foregoing ...
... Truths in the Third Section 127 SECTION IV . Of the Properties of the Circle . What is meant by Squaring a Circle 131 166 Recapitulation of the Truths contained in the Fourth Section 173 SECTION V. Application of the foregoing ...
Σελίδα 17
... point denoted ? How a line ? How an angle ? How a triangle ? How a quadrilateral ? How any polygon ? Axioms . There are certain invariable truths , which are 2 * GEOMETRY . 17 Questions on Notation and Significations.
... point denoted ? How a line ? How an angle ? How a triangle ? How a quadrilateral ? How any polygon ? Axioms . There are certain invariable truths , which are 2 * GEOMETRY . 17 Questions on Notation and Significations.
Σελίδα 18
... TRUTH I. Things , which are equal to the same thing , are equal to one another . TRUTH II . Things , which are similar to the same thing , are similar to one another . TRUTH III . If equals be added to equals , the wholes are equal . TRUTH ...
... TRUTH I. Things , which are equal to the same thing , are equal to one another . TRUTH II . Things , which are similar to the same thing , are similar to one another . TRUTH III . If equals be added to equals , the wholes are equal . TRUTH ...
Σελίδα 19
... TRUTH VI . The sum of all the parts is equal to the whole . TRUTH VII . Magnitudes , which coincide with one another , that is , which exactly fill the same space , are equal to one another . TRUTH VIII . Between two points only one ...
... TRUTH VI . The sum of all the parts is equal to the whole . TRUTH VII . Magnitudes , which coincide with one another , that is , which exactly fill the same space , are equal to one another . TRUTH VIII . Between two points only one ...
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...