The Elements of Geometry
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In our eReader you can find the full English version of the book. Read The Elements of 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 The Elements of Geometry
What reading level is The Elements of Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
But, by 211, all interior 2j^'s = (n — 2) st. 2^'s.
. *. Sum of all exterior ^ 's = a perigon.
Exercises. 30. How many diagonals can be drawn in a polygon of n sides ?
31. The exterior angle of a regular polygon is one-third of a right angle : find the number of sides in the polygon.
32. The four bisectors of the angles of a quadrilateral form a second quadrilateral whose opposite angles are supplemental.
33. Divide a right-angled triangle into two isosceles tri- angles.
34. In a right-angled t...riangle, the sect from the mid-point of the hypothenuse to the right angle is half the hypothenuse.
POL YGONS. 67 III. Parallelograms.
Theorem XXXI.
216. If two opposite sides of a quadrilateral are equal and parallel^ it is a parallelogram.
Hypothesis. ABCD a quadrilateral, with AB = and \\ CD, Conclusion. AjD \\ BC. Proof. Join AC. Then ^BAC = ^ A CD. (168. If a transversal cuts two parallels, the alternate angles are equal. ) By hypothesis, AB = CD, and ACis common, /. ^ BCA = ^ CAD, (124. Triangles are congruent if two sides and the included angle are equal in each.
What to read after The Elements of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
But, by 211, all interior 2j^'s = (n — 2) st. 2^'s.
. *. Sum of all exterior ^ 's = a perigon.
Exercises. 30. How many diagonals can be drawn in a polygon of n sides ?
31. The exterior angle of a regular polygon is one-third of a right angle : find the number of sides in the polygon.
32. The four bisectors of the angles of a quadrilateral form a second quadrilateral whose opposite angles are supplemental.
33. Divide a right-angled triangle into two isosceles tri- angles.
34. In a right-angled t...riangle, the sect from the mid-point of the hypothenuse to the right angle is half the hypothenuse.
POL YGONS. 67 III. Parallelograms.
Theorem XXXI.
216. If two opposite sides of a quadrilateral are equal and parallel^ it is a parallelogram.
Hypothesis. ABCD a quadrilateral, with AB = and \\ CD, Conclusion. AjD \\ BC. Proof. Join AC. Then ^BAC = ^ A CD. (168. If a transversal cuts two parallels, the alternate angles are equal. ) By hypothesis, AB = CD, and ACis common, /. ^ BCA = ^ CAD, (124. Triangles are congruent if two sides and the included angle are equal in each.
What to read after The Elements of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
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