Elements of Geometry Containing Books I to Vi And Portions of Books Xi And X
Elements of Geometry Containing Books I to Vi And Portions of Books Xi And X
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In our eReader you can find the full English version of the book. Read Elements of Geometry Containing Books I to Vi And Portions of Books Xi And X 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 Containing Books I to Vi And Portions of Books Xi And X
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If a parallelogram be described having the diameter of a given circle for one of its sides, and the intersection of its diagonals on the circumference, shew that the extremity of each of the diagonals moves on the circumference of another circle of double the diameter of the first.
58. One diagonal of a quadrilateral inscribed in a circle is fixed, and the other of constant length. Shew that the sides will meet, if produced, on the circumference of a fixed circle.
rook Ul] EUCLID'S PROOF OF TIL... 23. 175 We here insert Euclid's proofs of Props. 23, 24 of Book III. First observing that he gives the following definition of similar segments : — Def. Similar segments of circles are those in which the angles are equals or which contain equal angles.
Proposition XXIII. Theorem.
Upon the sa/me straight line, and upon the same side of U, ] there cannot be two similar segments of circles, not coinciding with each other* If Jt be possible, on the same base AB, and on the same side of it, let there be two similar segments of © s, ABC, ABD, which do not coincide.
What to read after Elements of Geometry Containing Books I to Vi And Portions of Books Xi And X?
You can find similar books in the "Read Also" column, or choose other free books by J Hamblin James Hamblin Smith to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If a parallelogram be described having the diameter of a given circle for one of its sides, and the intersection of its diagonals on the circumference, shew that the extremity of each of the diagonals moves on the circumference of another circle of double the diameter of the first.
58. One diagonal of a quadrilateral inscribed in a circle is fixed, and the other of constant length. Shew that the sides will meet, if produced, on the circumference of a fixed circle.
rook Ul] EUCLID'S PROOF OF TIL... 23. 175 We here insert Euclid's proofs of Props. 23, 24 of Book III. First observing that he gives the following definition of similar segments : — Def. Similar segments of circles are those in which the angles are equals or which contain equal angles.
Proposition XXIII. Theorem.
Upon the sa/me straight line, and upon the same side of U, ] there cannot be two similar segments of circles, not coinciding with each other* If Jt be possible, on the same base AB, and on the same side of it, let there be two similar segments of © s, ABC, ABD, which do not coincide.
What to read after Elements of Geometry Containing Books I to Vi And Portions of Books Xi And X?
You can find similar books in the "Read Also" column, or choose other free books by J Hamblin James Hamblin Smith to read onlineMoreLess
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