Plane And Solid Geometry
Plane And Solid Geometry
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In our eReader you can find the full English version of the book. Read Plane And Solid 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 Plane And Solid Geometry
What reading level is Plane And Solid Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
1. To construct a right triangle, given an acute angle and the base ; given an acute angle and the hypotenuse.
2. To divide an angle into four equal parts.
3. Given an angle, to construct its complement ; to construct its sup- plement. See 40, 41.
PROPOSITION XIX. PROBLEM. 188. Given two angles of a triangle, to find the third.
E Let A and B be the given angles.
To find the third angle.
It is known (from 79) that the three angles of a triangle are equal to two right angles.
It is also known (fr...om 46) that the sum of the angles around a point on one side of a straight line is equal to two right angles.
Therefore, if the two angles be added together so that their vertices may coincide and both fall on the same side of a straight line, then the remaining angle on that side will be the angle required.
Hence at a point, say E in the line CD, construct (by 187) an angle, say CEO- equal to Z B, and an angle FED equal to Z A y then the remaining Z GEF will be the third angle re- quired.
EXERCISES.
What to read after Plane And Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by James Howard Gore to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
1. To construct a right triangle, given an acute angle and the base ; given an acute angle and the hypotenuse.
2. To divide an angle into four equal parts.
3. Given an angle, to construct its complement ; to construct its sup- plement. See 40, 41.
PROPOSITION XIX. PROBLEM. 188. Given two angles of a triangle, to find the third.
E Let A and B be the given angles.
To find the third angle.
It is known (from 79) that the three angles of a triangle are equal to two right angles.
It is also known (fr...om 46) that the sum of the angles around a point on one side of a straight line is equal to two right angles.
Therefore, if the two angles be added together so that their vertices may coincide and both fall on the same side of a straight line, then the remaining angle on that side will be the angle required.
Hence at a point, say E in the line CD, construct (by 187) an angle, say CEO- equal to Z B, and an angle FED equal to Z A y then the remaining Z GEF will be the third angle re- quired.
EXERCISES.
What to read after Plane And Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by James Howard Gore to read onlineMoreLess
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