Elements of Geometry
Elements of Geometry
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In our eReader you can find the full English version of the book. Read 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 Elements of Geometry
What reading level is Elements of Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
that is, ft d or, a + I : b : : c + d : d.
Q. E. D.
134 GEOMETRY. BOOK III.
PROPOSITION VII.
265. If four quantities be in proportion, they will be in proportion by division.
Let a : b : : c : d.
We are to prove a b : b : : c d : d. Now a c b d Subtract 1 from each member of the equation.
1 d Then ^ _ i = __ i *' that is, , b d or, a b : b : :' c d : d.
Q. E. D.
PROPOSITION VIII. 266. In a series of equal ratios, the sum of the ante- // I hi' XH m of the consequents as any antecedent is ' its c...onsequent.
Let a : b = c : d e '. F = g : h.
We are to prove a + c + e + g \b + d + f + h : : a \b.
Denote each ratio by r.
a c e g Then r T == ~j == 7 ~ T ' b d f h Whence, a = br, c = dr, e=fr, g"=hr. Add these equations.
Then a + c + e + g = (b + d + f + h) r. Divide by (b + d + J + //).
"///"//.
What to read after Elements 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:
that is, ft d or, a + I : b : : c + d : d.
Q. E. D.
134 GEOMETRY. BOOK III.
PROPOSITION VII.
265. If four quantities be in proportion, they will be in proportion by division.
Let a : b : : c : d.
We are to prove a b : b : : c d : d. Now a c b d Subtract 1 from each member of the equation.
1 d Then ^ _ i = __ i *' that is, , b d or, a b : b : :' c d : d.
Q. E. D.
PROPOSITION VIII. 266. In a series of equal ratios, the sum of the ante- // I hi' XH m of the consequents as any antecedent is ' its c...onsequent.
Let a : b = c : d e '. F = g : h.
We are to prove a + c + e + g \b + d + f + h : : a \b.
Denote each ratio by r.
a c e g Then r T == ~j == 7 ~ T ' b d f h Whence, a = br, c = dr, e=fr, g"=hr. Add these equations.
Then a + c + e + g = (b + d + f + h) r. Divide by (b + d + J + //).
"///"//.
What to read after Elements 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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