Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page iii
... term solid , used not only by Legendre , but by many other authors , to denote a limited portion of space , seems calculated to introduce the foreign idea of matter into a science which deals only with the abstract properties and ...
... term solid , used not only by Legendre , but by many other authors , to denote a limited portion of space , seems calculated to introduce the foreign idea of matter into a science which deals only with the abstract properties and ...
Page viii
... 141 Volume of a Prismoid , 144 Volumes of Regular Polyedrons , 146 LOGARITHMIC TABLES . Logarithms of Numbers from 1 to 10,000 .. Sines and Tangents .. 1-16 17-62 ELEMENTS OF GEOMETRY . INTRODUCTION . DEFINITIONS OF TERMS . viii CONTENTS .
... 141 Volume of a Prismoid , 144 Volumes of Regular Polyedrons , 146 LOGARITHMIC TABLES . Logarithms of Numbers from 1 to 10,000 .. Sines and Tangents .. 1-16 17-62 ELEMENTS OF GEOMETRY . INTRODUCTION . DEFINITIONS OF TERMS . viii CONTENTS .
Page 9
... TERMS . 1. QUANTITY is any thing which can be increased , dimin- ished , and measured . To measure a thing , is to find out how many times it contains some other thing , of the same kind , taken as a stand- ard . The assumed standard is ...
... TERMS . 1. QUANTITY is any thing which can be increased , dimin- ished , and measured . To measure a thing , is to find out how many times it contains some other thing , of the same kind , taken as a stand- ard . The assumed standard is ...
Page 52
... terms in every proportion . The first and second form the first couplet , and the third and fourth , the second couplet . The first and fourth terms are BOOK II Ratios and Proportions, 52 22.
... terms in every proportion . The first and second form the first couplet , and the third and fourth , the second couplet . The first and fourth terms are BOOK II Ratios and Proportions, 52 22.
Page 53
... terms are called extremes ; the second and third , means , and the fourth term , a fourth proportional to the three others . When the second term is equal to the third , it is said to be a mean proportional between the extremes . In ...
... terms are called extremes ; the second and third , means , and the fourth term , a fourth proportional to the three others . When the second term is equal to the third , it is said to be a mean proportional between the extremes . In ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence