Introduction to Algebra for the Use of Secondary Schools And Technical Colleges
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In our eReader you can find the full English version of the book. Read Introduction to Algebra for the Use of Secondary Schools And Technical Colleges 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 Introduction to Algebra for the Use of Secondary Schools And Technical Colleges
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V12 and V27. 11. 5 + 7V2 and (29 + 47V2)/73.
12. Insert four mean proportionals between 6 and 192.
13. Given the third and fifth of a series of quantities in continued proportion, find the first and fourth of the series.
14. Find two numbers such that their sum, their difference, and the sum of their squares are in the ratio 5 : 3 : 51.
15. Three positive quantities are in continued proportion. The difterence between the greatest and least is 624, and the other number is 91. What are the number...s ?
16. Three numbers are in continued proportion ; the middle number is 12 and the sum of the others 25 ; find the numbers.
17. Lix-x' :y-y' = x + x' :y + y', show that £C :a;' = 2/ • ?/'• 18. Lix-\-x' :y + y' = xx' \yy', show that a;?/ : a; V = ?/ - a; : cc' - y'.
19. Li{a + b + c-^d){a-b-c + d) = {a-b + c-d){a + b-c-d) then a, 6, c, d are" proportionals.
i8 274 EXERCISES ch. Xviii 20. Li a:b = c:d, show that ab + cd is a mean proportional between a2 + c2and&2 + (^2^ 21. If {a + bx)/{b + cy) = {b + cx)/{c + ay) = {c + ax)/{a + hy), then in general each is equal to {l+x)/{l + y).
What to read after Introduction to Algebra for the Use of Secondary Schools And Technical Colleges?
You can find similar books in the "Read Also" column, or choose other free books by G George Chrystal to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
V12 and V27. 11. 5 + 7V2 and (29 + 47V2)/73.
12. Insert four mean proportionals between 6 and 192.
13. Given the third and fifth of a series of quantities in continued proportion, find the first and fourth of the series.
14. Find two numbers such that their sum, their difference, and the sum of their squares are in the ratio 5 : 3 : 51.
15. Three positive quantities are in continued proportion. The difterence between the greatest and least is 624, and the other number is 91. What are the number...s ?
16. Three numbers are in continued proportion ; the middle number is 12 and the sum of the others 25 ; find the numbers.
17. Lix-x' :y-y' = x + x' :y + y', show that £C :a;' = 2/ • ?/'• 18. Lix-\-x' :y + y' = xx' \yy', show that a;?/ : a; V = ?/ - a; : cc' - y'.
19. Li{a + b + c-^d){a-b-c + d) = {a-b + c-d){a + b-c-d) then a, 6, c, d are" proportionals.
i8 274 EXERCISES ch. Xviii 20. Li a:b = c:d, show that ab + cd is a mean proportional between a2 + c2and&2 + (^2^ 21. If {a + bx)/{b + cy) = {b + cx)/{c + ay) = {c + ax)/{a + hy), then in general each is equal to {l+x)/{l + y).
What to read after Introduction to Algebra for the Use of Secondary Schools And Technical Colleges?
You can find similar books in the "Read Also" column, or choose other free books by G George Chrystal to read onlineMoreLess
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