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 31
... alternate angles equal ; and 3dly , When the sum of two interior angles , made by the intersection of a third line , are to- gether equal to two right angles . Q. Will you now repeat the demonstration of each separate GEOMETRY . 31.
... alternate angles equal ; and 3dly , When the sum of two interior angles , made by the intersection of a third line , are to- gether equal to two right angles . Q. Will you now repeat the demonstration of each separate GEOMETRY . 31.
Σελίδα 32
Francis Joseph Grund. Q. Will you now repeat the demonstration of each separate case ? * * QUERY X. Supposing the two straight lines CD , EF , to be cut by a third line AM at unequal angles ABC , BHE , ( Fig . I. and II . ) , or so as to ...
Francis Joseph Grund. Q. Will you now repeat the demonstration of each separate case ? * * QUERY X. Supposing the two straight lines CD , EF , to be cut by a third line AM at unequal angles ABC , BHE , ( Fig . I. and II . ) , or so as to ...
Σελίδα 39
... right angle is equal to the sum of the two other angles . * * The teacher may now ask his pupils to repeat the demonstrations of these principles . SECTION II . OF EQUALITY AND SIMILARITY OF TRIANGLES . GEOMETRY . 39 10 14 17 18.
... right angle is equal to the sum of the two other angles . * * The teacher may now ask his pupils to repeat the demonstrations of these principles . SECTION II . OF EQUALITY AND SIMILARITY OF TRIANGLES . GEOMETRY . 39 10 14 17 18.
Σελίδα 44
... demonstration , I have two triangles , as you see , along side of each other , with their bases , AB and ab , together , and have joined their opposite vertices , C and c , by the straight line C c . What can you now observe with regard ...
... demonstration , I have two triangles , as you see , along side of each other , with their bases , AB and ab , together , and have joined their opposite vertices , C and c , by the straight line C c . What can you now observe with regard ...
Σελίδα 74
... same principle will hold of any other geometrical proportion . * * The teacher had better show this to the pupil , particu- larly as the above mode of demonstrating this principle 6th . If three terms of a proportion be given 71 GEOMETRY .
... same principle will hold of any other geometrical proportion . * * The teacher had better show this to the pupil , particu- larly as the above mode of demonstrating this principle 6th . If three terms of a proportion be given 71 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...