A Text-Book of Geometry
A Text-Book of Geometry
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In our eReader you can find the full English version of the book. Read A Text-Book 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 A Text-Book of Geometry
What reading level is A Text-Book of Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
Then (1) Digitized by Google AREAS OP POLYGONS.
181 These rectangles are all equal.
rectAO __7 4 AB Hence From (1) and (2) rect.J.i^ rect. AC TQct.AF AE Case II. When AB and AE are incommensurable.
I>i ! 1 ! ! ! \0 l>r- §186 (2) Ax. 1 T Divide AB into any number of equal parts, and apply one of them to AE as often as it will be contained in AE.
Since AB and AE are incommensurable, a certain number of these parts will extend from ^ to a point K, leaving a remainder KE less than one of the parts....
DT2iW KIT W to EF.
Since AB and -4^ are commensurable, rect.^^ AK rect. AO AB These ratios continue equal, as the unit of measure is indefi- nitely diminished, and approach indefinitely the limiting ratios rect.^i^ . AE ,. , -— and -—- respectively.
rect AG AB rect. AF AE §280 rect. AO AB (if two variables are constantly equal, and each approaches a limit, the limits are eqiial). q^ e^ q^ 861. Cor. The areas of two rectangles having eqiial bases are io each other as their altitudes. For AB and AE may be con- sidered as the altitudes, AI) and AI) as the bases.
What to read after A Text-Book of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Albert Wentworth to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Then (1) Digitized by Google AREAS OP POLYGONS.
181 These rectangles are all equal.
rectAO __7 4 AB Hence From (1) and (2) rect.J.i^ rect. AC TQct.AF AE Case II. When AB and AE are incommensurable.
I>i ! 1 ! ! ! \0 l>r- §186 (2) Ax. 1 T Divide AB into any number of equal parts, and apply one of them to AE as often as it will be contained in AE.
Since AB and AE are incommensurable, a certain number of these parts will extend from ^ to a point K, leaving a remainder KE less than one of the parts....
DT2iW KIT W to EF.
Since AB and -4^ are commensurable, rect.^^ AK rect. AO AB These ratios continue equal, as the unit of measure is indefi- nitely diminished, and approach indefinitely the limiting ratios rect.^i^ . AE ,. , -— and -—- respectively.
rect AG AB rect. AF AE §280 rect. AO AB (if two variables are constantly equal, and each approaches a limit, the limits are eqiial). q^ e^ q^ 861. Cor. The areas of two rectangles having eqiial bases are io each other as their altitudes. For AB and AE may be con- sidered as the altitudes, AI) and AI) as the bases.
What to read after A Text-Book of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Albert Wentworth to read onlineMoreLess
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