Elements of Plane Geometry
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In our eReader you can find the full English version of the book. Read Elements of Plane Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Plane Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
The diagonals of a parallelogram mutually bisect each other (Prop. IV. ); hence AB^+AC2=:2EB2+2AE2, and BD2+DC2=. 2BE2+2DE2 (Prop. XXL). Add these equa- tions, and AB2+AC24- BD2+DC2rzi4BE2 +2 AE2+2ED2; or AB2+AC2+BD2+DC2=4BE2+4AE2. But since the square of a line is equal to four times the square of its half, AB2+AC2+BD2+DC2=AD2+BC2.
The foUoicing are Test Examples involving the First and Second JBooks solved or demonstrated : 1. To bisect a parallelogram from a point in 07ie of its sides.
Let A...BCD be D EC the given paral- lelogram, and P the given point.
On the line DC lay off a segment EC equal AP, and join the points P and E. The line PE bisects the parallelogram.
For, draw the diagonal AC* The two triangles ABC * The student may readily invent other methods of demonstrating this truth by drawing different hues.
64 ELEMENTS OF PLANE GEOMETRY.
and CDA are equal (Prop. III. ). In the two triangles APO and CEO the angles GAP and APO are equal to OCE and CEO, each to each (Prop. XXYH. , Bk.
What to read after Elements of Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Hunter to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The diagonals of a parallelogram mutually bisect each other (Prop. IV. ); hence AB^+AC2=:2EB2+2AE2, and BD2+DC2=. 2BE2+2DE2 (Prop. XXL). Add these equa- tions, and AB2+AC24- BD2+DC2rzi4BE2 +2 AE2+2ED2; or AB2+AC2+BD2+DC2=4BE2+4AE2. But since the square of a line is equal to four times the square of its half, AB2+AC2+BD2+DC2=AD2+BC2.
The foUoicing are Test Examples involving the First and Second JBooks solved or demonstrated : 1. To bisect a parallelogram from a point in 07ie of its sides.
Let A...BCD be D EC the given paral- lelogram, and P the given point.
On the line DC lay off a segment EC equal AP, and join the points P and E. The line PE bisects the parallelogram.
For, draw the diagonal AC* The two triangles ABC * The student may readily invent other methods of demonstrating this truth by drawing different hues.
64 ELEMENTS OF PLANE GEOMETRY.
and CDA are equal (Prop. III. ). In the two triangles APO and CEO the angles GAP and APO are equal to OCE and CEO, each to each (Prop. XXYH. , Bk.
What to read after Elements of Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Hunter to read onlineMoreLess
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