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
... terms , but by means of the diagrams employed in their demonstration . This departure from the method of EUCLID is much ... term solid , used not only by LEGENDRE , but by many other authors , to denote a limited portion of space , seems ...
... terms , but by means of the diagrams employed in their demonstration . This departure from the method of EUCLID is much ... term solid , used not only by LEGENDRE , but by many other authors , to denote a limited portion of space , seems ...
Page iv
... term volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made ...
... term volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made ...
Page 9
... TERMS . 1. QUANTITY is anything 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 anything 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 50
... 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, 50.
... 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, 50.
Page 51
... terms are called extremes ; the second and third , means , and the fourth term , a fourth proportional to the other three . When the second term is equal to the third , it is said to be a mean proportional between the extremes . In this ...
... terms are called extremes ; the second and third , means , and the fourth term , a fourth proportional to the other three . When the second term is equal to the third , it is said to be a mean proportional between the extremes . In this ...
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Common terms and phrases
ABē ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence