A Treatise On Geometry And Its Application in the Arts
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In our eReader you can find the full English version of the book. Read A Treatise On Geometry And Its Application in the Arts 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 A Treatise On Geometry And Its Application in the Arts
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But B D is equal to A C ; therefore A E is equal to A C. The triangle C A E is therefore isosceles, and the angle A E C is equal to the angle C ; but since A E is parallel to B D, the angle A E C is equal to the angle D ; therefore the angle C must be equal to the angle D, which are the angles that the sides make with the base C D. Again since A B is parallel to C D, the angles BAG and G, as well as B andD, are supplemental (41. ) ; but the angle C has been proved to be equal to the angle D ; t...here- fore the angle G A B is equal to the angle B, which are the angles that the sides make with the base A B.
(150. ) If the angles at the base of a trapezium b6 equal, its sides will be equal.
CHAP. Vr. GEOMETRY. 73 For, let A E ( fig, 70. ) be drawn parallel to B D ; then, as in (149. )) A E will be equal to B D ; but since the angle A E C is equal to the angle D, it is also equal to the angle C, and therefore the triangle C A E is isosceles, and the side C A is equal to the side AE ; but A E has been proved equal to B D, and therefore A C is equal to B D.
What to read after A Treatise On Geometry And Its Application in the Arts?
You can find similar books in the "Read Also" column, or choose other free books by Dionysius Lardner to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
But B D is equal to A C ; therefore A E is equal to A C. The triangle C A E is therefore isosceles, and the angle A E C is equal to the angle C ; but since A E is parallel to B D, the angle A E C is equal to the angle D ; therefore the angle C must be equal to the angle D, which are the angles that the sides make with the base C D. Again since A B is parallel to C D, the angles BAG and G, as well as B andD, are supplemental (41. ) ; but the angle C has been proved to be equal to the angle D ; t...here- fore the angle G A B is equal to the angle B, which are the angles that the sides make with the base A B.
(150. ) If the angles at the base of a trapezium b6 equal, its sides will be equal.
CHAP. Vr. GEOMETRY. 73 For, let A E ( fig, 70. ) be drawn parallel to B D ; then, as in (149. )) A E will be equal to B D ; but since the angle A E C is equal to the angle D, it is also equal to the angle C, and therefore the triangle C A E is isosceles, and the side C A is equal to the side AE ; but A E has been proved equal to B D, and therefore A C is equal to B D.
What to read after A Treatise On Geometry And Its Application in the Arts?
You can find similar books in the "Read Also" column, or choose other free books by Dionysius Lardner to read onlineMoreLess
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