Lessons in Geometry
Lessons in Geometry
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In our eReader you can find the full English version of the book. Read Lessons in 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 Lessons in Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
2. Problem. — To find the mean proportional be- tween two given lines a and b (Fig. IS^).
(1) By calculation. Measure the two lines, multiply their lengths together, and find the square root of the product.
(2) By construction. Draw a straight line, and upon it lay off AB = a^ and BC=b. a, , Upon AC as a diameter, describe ^ " a semicircle.
Erect at ^ a perpendicular, cutting the semicircle at D.
Then BD will be the mean pro- A O B~ portional required. ^«- 1^- Note. — This construction can be p...roved to be correct with the aid of the Theorem of Pythagoras, but the shortest and easiest proof is founded on the properties of similar triangles (see page 151, Ex. 8).
3. Draw a line 2 in. long and a line 3^ in. long, and then find (1) by calculation, (2) by construction, the mean pro- portional between them.
4. Find the mean proportionals between the following numbers : 1 and 9, 9 and 25, 16 and 25, 1 and \, ^ and -^.
5. What is meant by transforming a figure f To trfmsfonn a figure is to change its shape without chang- ing its size.
What to read after Lessons in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Anthony Hill to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. Problem. — To find the mean proportional be- tween two given lines a and b (Fig. IS^).
(1) By calculation. Measure the two lines, multiply their lengths together, and find the square root of the product.
(2) By construction. Draw a straight line, and upon it lay off AB = a^ and BC=b. a, , Upon AC as a diameter, describe ^ " a semicircle.
Erect at ^ a perpendicular, cutting the semicircle at D.
Then BD will be the mean pro- A O B~ portional required. ^«- 1^- Note. — This construction can be p...roved to be correct with the aid of the Theorem of Pythagoras, but the shortest and easiest proof is founded on the properties of similar triangles (see page 151, Ex. 8).
3. Draw a line 2 in. long and a line 3^ in. long, and then find (1) by calculation, (2) by construction, the mean pro- portional between them.
4. Find the mean proportionals between the following numbers : 1 and 9, 9 and 25, 16 and 25, 1 and \, ^ and -^.
5. What is meant by transforming a figure f To trfmsfonn a figure is to change its shape without chang- ing its size.
What to read after Lessons in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Anthony Hill to read onlineMoreLess
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