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 6 - 10 από τα 17.
Σελίδα 62
... 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 .
... 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 84
... The third angle in every triangle , making with the two other angles two right angles , will always be equal to two right angles less the sum of the two other angles . a b c , placed as before , upon the 84 GEOMETRY .
... The third angle in every triangle , making with the two other angles two right angles , will always be equal to two right angles less the sum of the two other angles . a b c , placed as before , upon the 84 GEOMETRY .
Σελίδα 94
... less two . 29. The sum of all the angles in a rectilinear figure , is equal to as many times two right an- gles as the figure has sides less two . * RECAPITULATION OF THE TRUTHS CONTAINED IN PART II . 1. 94 GEOMETRY .
... less two . 29. The sum of all the angles in a rectilinear figure , is equal to as many times two right an- gles as the figure has sides less two . * RECAPITULATION OF THE TRUTHS CONTAINED IN PART II . 1. 94 GEOMETRY .
Σελίδα 132
... less than the sum of their radii OM , PM . QUERY III . When do two circles touch each other inte- riorly ? A. When the dis- tance OP , between their centres , O and P , 0 M is equal to the sum of their radii OM , PM . QUERY IV . When do ...
... less than the sum of their radii OM , PM . QUERY III . When do two circles touch each other inte- riorly ? A. When the dis- tance OP , between their centres , O and P , 0 M is equal to the sum of their radii OM , PM . QUERY IV . When do ...
Σελίδα 148
... less two of the equal arcs , into which the circumference is divided , they all measure the same number of degrees ... less the two arcs AB , BC ; and the angle BCD has its legs standing on the whole circumference less the two equal arcs ...
... less two of the equal arcs , into which the circumference is divided , they all measure the same number of degrees ... less the two arcs AB , BC ; and the angle BCD has its legs standing on the whole circumference less the two equal arcs ...
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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...