Elementary Synthetic Geometry
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In our eReader you can find the full English version of the book. Read Elementary Synthetic 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 Elementary Synthetic Geometry
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[c] Its diagonals are equal, and bisect each other, 296. Inversely, a quadrilateral with [«], [If], or \c] is a rectangle. 297. A symtral deltoid is called a square. 298. A square has symcentry, and so has a rhombus and a rectangle. 299. A quadrilateral with [i] and [<«], or [2] ^nd [p], or [3] and [c], is a square. CHAPTER XV. CONGRUENCE OF TRIANGLES. 300. Theorem, Triangles are congruent if they have a side and two angles adjacent to it equal ; or a side and two angles, . Fig. J47. one adjacent and one opposite to it, respectively equal ; or two sides and the included angle equal, or two sides and the angle opposite the greater equal, or three sides equal. Proof. Since in any triangle the sum of the three angles is a straight angle, the second case comes under the first. In every case, slide the two triangles in the plane until a pair of equal sides coincide, but beyond this common side are no coin- cident points. If then a pair of equal angles have a common vertex, or a second pair of equal sides have a common end point, the triangles are symmetrical with regard to the commort side.
What to read after Elementary Synthetic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read online
To quickly assess the difficulty of the text, read a short excerpt:
[c] Its diagonals are equal, and bisect each other, 296. Inversely, a quadrilateral with [«], [If], or \c] is a rectangle. 297. A symtral deltoid is called a square. 298. A square has symcentry, and so has a rhombus and a rectangle. 299. A quadrilateral with [i] and [<«], or [2] ^nd [p], or [3] and [c], is a square. CHAPTER XV. CONGRUENCE OF TRIANGLES. 300. Theorem, Triangles are congruent if they have a side and two angles adjacent to it equal ; or a side and two angles, . Fig. J47. one adjacent and one opposite to it, respectively equal ; or two sides and the included angle equal, or two sides and the angle opposite the greater equal, or three sides equal. Proof. Since in any triangle the sum of the three angles is a straight angle, the second case comes under the first. In every case, slide the two triangles in the plane until a pair of equal sides coincide, but beyond this common side are no coin- cident points. If then a pair of equal angles have a common vertex, or a second pair of equal sides have a common end point, the triangles are symmetrical with regard to the commort side.
What to read after Elementary Synthetic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read online
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