The Elements of Geometry
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In our eReader you can find the full English version of the book. Read The 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 The Elements of Geometry
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If one leg of a right triangle is double the other, the perpen- dicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and , respectively, prove BD ^_ BF = DF CE CG EG' 24. C and D are the middle points of a chord AB and its sub- tended arc. If AD = 12 and CD = 8, what is the diameter of the circle ?
25. If AD and BE are the perpendic...ulars from the vertices A and B of the triangle ABC to the opposite sides, prove that AC:DC= BC'. EC: 26. If D is the middle point of the side BC of the triangle AB C, right-angled at C, prove that AB 2 AD 2 = 3 ~CD*.
27. The diameters of two concentric circles are 14 arid 50 units, respectively. Find the length of a chord of the greater circle which is tangent to the smaller.
28. The length of a tangent to a circle from a point 8 units dis- tant from the nearest point of the circumference, is 12 units.
What to read after The Elements of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If one leg of a right triangle is double the other, the perpen- dicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and , respectively, prove BD ^_ BF = DF CE CG EG' 24. C and D are the middle points of a chord AB and its sub- tended arc. If AD = 12 and CD = 8, what is the diameter of the circle ?
25. If AD and BE are the perpendic...ulars from the vertices A and B of the triangle ABC to the opposite sides, prove that AC:DC= BC'. EC: 26. If D is the middle point of the side BC of the triangle AB C, right-angled at C, prove that AB 2 AD 2 = 3 ~CD*.
27. The diameters of two concentric circles are 14 arid 50 units, respectively. Find the length of a chord of the greater circle which is tangent to the smaller.
28. The length of a tangent to a circle from a point 8 units dis- tant from the nearest point of the circumference, is 12 units.
What to read after The Elements of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
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