Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface
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Home > Art, Film & Photography > Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface
Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface

Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1733 Excerpt: ... the Right Line AB stand at Right Angles fai the Point of Contact B, to the three Right Lines B C, BD, BE. I fay BC, BD, BE, are irt One and the fame Plane. For if they are not, let BD, BE, be in one Plane, and BC above it; and let the Plane passing thro' AB, B C, be produced, and it will make the common 3 's'H'. Section, with the other Plane, a strait Line, which iet be B F. Then three Right Lines A B, B C, B F, ' are in one Plane drawn thro' AB, B C; and since AB stands at Right Angles to BD and BE, it shall be+ at Right Angles to a Plane drawn thro' BEt+t/''. DB; and so AB shall make J Right Angles with%'/ 3all Right Lines touching it that are in the fame Plane; but BF being in the faid Plane, touches it. Wherefore the Angle A BF is a Right Angle, but the Angle ABC (by the Hyp.) is also a Right Angle. Therefore the Angle ABF is equal to the Angle ABC, and they are both in the fame Plane, which cannot be; and so the Right Line B C is not above the Plane passing thro' BE and BD. Wherefore the three Lines B C, B D, BE, are in one and the fame Plane. Therefore, if to thret Right Lines, touching one antther, a third stands at Right Angles in their common Setlion, those thret Right Lines Jhall ht in one and the Jam s lant s which was to be demonstrated. PROPOSITION VL Taiffil M, ., . If two Right Lines he perpendicular to the and the fame Plane, those Right Lines are parallel to one another.. LET two Right Lines AB, CD, be perpendicular to one and the Tame Plane. I fay, A B is parallel to CD..... For let them meet the Plane in the Points B, D, and join the Right Line B D, to which let D E be drawn in the fame Plane at Right Angles; make DE equal to AB; and join BE, AE, AD. Then because AB is at Right Angles to the afore Dts-3-'/faid Plane, it shall be at Right A.


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Product Details
  • ISBN-13: 9781236319098
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 112
  • Spine Width: 6 mm
  • Width: 189 mm
  • ISBN-10: 1236319095
  • Publisher Date: 20 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 213 gr


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Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface
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Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface
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Euclid's Elements of Geometry; From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature of Arithmetic of Logarithms Likewise Another of the Elements of Plain and Spherical Trigonometry with a Preface

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