Elements of Geometry and Trigonometry: Translated from the French of A.M. Legendre by Daniel Brewster : Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1848 - 359 Seiten |
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Ergebnisse 1-5 von 28
Seite 22
... perpen dicular , cutting off equal distances on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular will be the longer . Let A be the given point , DE the given ...
... perpen dicular , cutting off equal distances on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular will be the longer . Let A be the given point , DE the given ...
Seite 24
... perpen- dicular , and therefore equal ( Prop . XV . ) . So , likewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is equally distant from the extremities A and B. E B ...
... perpen- dicular , and therefore equal ( Prop . XV . ) . So , likewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is equally distant from the extremities A and B. E B ...
Seite 28
... perpen - C dicular to CD . Hence AB and CD are . perpendicular to the same straight line ; hence they are parallel ( Prop . XVIII . ) . A R Q P D B PROPOSITION XXIII . THEOREM . Two parallels are every where equally distant . Two ...
... perpen - C dicular to CD . Hence AB and CD are . perpendicular to the same straight line ; hence they are parallel ( Prop . XVIII . ) . A R Q P D B PROPOSITION XXIII . THEOREM . Two parallels are every where equally distant . Two ...
Seite 46
... perpen- dicular FG , it is also equally distant from the two points B and C : hence the three distances OA , OB , OC , are equal ; there- fore the circumference described from the centre O , with the radius OB , will pass through the ...
... perpen- dicular FG , it is also equally distant from the two points B and C : hence the three distances OA , OB , OC , are equal ; there- fore the circumference described from the centre O , with the radius OB , will pass through the ...
Seite 58
... perpen- dicular on this line . Let A be the point , and BD the straight line . From the point A as a centre , and with a radius sufficiently great , describe an arc cutting the line BD in the two points B and D ; then mark a point E ...
... perpen- dicular on this line . Let A be the point , and BD the straight line . From the point A as a centre , and with a radius sufficiently great , describe an arc cutting the line BD in the two points B and D ; then mark a point E ...
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Häufige Begriffe und Wortgruppen
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater hence homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex