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 1 - 5 από τα 12.
Σελίδα 37
... adding the angle c to the two angles a and b , it will make with them two right angles ; and by adding it to the angle e alone , the sum of the two angles , e and c , will also be equal to two right angles , which could not be , if the ...
... adding the angle c to the two angles a and b , it will make with them two right angles ; and by adding it to the angle e alone , the sum of the two angles , e and c , will also be equal to two right angles , which could not be , if the ...
Σελίδα 50
... adding the greater to the greater must be greater , than the sum obtained by adding the smaller to the smaller ; that is , a line which is as long as the four lines AC , CD , BD , DM , together , must be greater than one only as long as ...
... adding the greater to the greater must be greater , than the sum obtained by adding the smaller to the smaller ; that is , a line which is as long as the four lines AC , CD , BD , DM , together , must be greater than one only as long as ...
Σελίδα 70
... its corresponding fourth term ; therefore , adding a b and a c together , their sum will be just one half of the sum of AB and AC ; and so will b c and a b , be , together , one half of the sum of BC and AB . For the 70 GEOMETRY .
... its corresponding fourth term ; therefore , adding a b and a c together , their sum will be just one half of the sum of AB and AC ; and so will b c and a b , be , together , one half of the sum of BC and AB . For the 70 GEOMETRY .
Σελίδα 73
... adding the second term of a proportion once , or any number of times , to the first term , and the fourth term the same number of times to the third term , you will still have a proportion . To give an example : In the proportion AB ...
... adding the second term of a proportion once , or any number of times , to the first term , and the fourth term the same number of times to the third term , you will still have a proportion . To give an example : In the proportion AB ...
Σελίδα 74
... adding the first term once , or any num- ber of times , to the second term , and the third term the same number of times to the fourth term , the result will still be a proportion . Thus , our proportion AB : ab AC : a c , may be ...
... adding the first term once , or any num- ber of times , to the second term , and the third term the same number of times to the fourth term , the result will still be a proportion . Thus , our proportion AB : ab AC : a c , may be ...
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...