Elements of Geometry and Trigonometry from the Works of A. M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes, 1857 - 432 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 10
... to the mind of the conceptions for which they stand 8. ANGLE is a term which designates the portion of a surface included by two lines meeting at a common point ; and it also denotes a portion of space included by 10 GEOMETRY .
... to the mind of the conceptions for which they stand 8. ANGLE is a term which designates the portion of a surface included by two lines meeting at a common point ; and it also denotes a portion of space included by 10 GEOMETRY .
Σελίδα 11
... common to all figures of the same class . 12. The portions of extension which constitute the geo- metrical magnitudes , are indicated to the mind by cer tain marks called lines . Thus , we say , the straight line AB , is the shortest ...
... common to all figures of the same class . 12. The portions of extension which constitute the geo- metrical magnitudes , are indicated to the mind by cer tain marks called lines . Thus , we say , the straight line AB , is the shortest ...
Σελίδα 14
... common point . The two straight lines are called the sides of the angle , and the common point of intersection , the vertex . Thus , the part of the plane includ- ed between AB and AC is called an angle : AB and AC are its sides , and A ...
... common point . The two straight lines are called the sides of the angle , and the common point of intersection , the vertex . Thus , the part of the plane includ- ed between AB and AC is called an angle : AB and AC are its sides , and A ...
Σελίδα 17
... question proposed , which requires a solution . 5. A lemma is a subsidiary truth , employed for the demonstration of a theorem , or the solution of a problem 6. The common name , proposition , is applied indifferent 2 BOOK I 17.
... question proposed , which requires a solution . 5. A lemma is a subsidiary truth , employed for the demonstration of a theorem , or the solution of a problem 6. The common name , proposition , is applied indifferent 2 BOOK I 17.
Σελίδα 18
... common name , proposition , is applied indifferent ly , to theorems , problems , and lemmas . 7. A corollary is an obvious consequence , deduced from one or several propositions . 8. A scholium is a remark on one or several preceding ...
... common name , proposition , is applied indifferent ly , to theorems , problems , and lemmas . 7. A corollary is an obvious consequence , deduced from one or several propositions . 8. A scholium is a remark on one or several preceding ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cos² cosine Cotang cubes cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar similar triangles sin² sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Σελίδα 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 1 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Σελίδα 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Σελίδα 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Σελίδα 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Σελίδα 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.