Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
Dentro del libro
Resultados 1-5 de 37
Página 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 ...
Página 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 ...
Página 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 ...
Página 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.
Página 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 ...
Otras ediciones - Ver todas
Términos y frases comunes
AB² ABCD AC² adjacent angles altitude 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 difference 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 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 slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Pasajes populares
Página 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 59 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 28 - If two triangles have two sides of the one equal to two sides of the...
Página 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 99 - The area of a parallelogram is equal to the product of its base and altitude.
Página 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Página 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.