Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1869 - 382 sider |
Inni boken
Resultat 1-5 av 21
Side 11
... EQUILATERAL TRIANGLE is one which has its three sides equal ; as the triangle ABC . A B C D An ISOSCELES TRIANGLE is one which has two of its sides equal ; as the triangle D E F. A SCALENE TRIANGLE is one which has no two of its sides ...
... EQUILATERAL TRIANGLE is one which has its three sides equal ; as the triangle ABC . A B C D An ISOSCELES TRIANGLE is one which has two of its sides equal ; as the triangle D E F. A SCALENE TRIANGLE is one which has no two of its sides ...
Side 12
... isosceles triangle , it is usual to consider that side the base which is not equal to either of the other sides . 31. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its angles ...
... isosceles triangle , it is usual to consider that side the base which is not equal to either of the other sides . 31. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its angles ...
Side 20
... isosceles triangle at right angles , bisects also the verti- cal angle . 59. Cor . 3. Every equilateral triangle is also equian- gular . PROPOSITION VIII . - THEOREM . A 60. If two angles of a triangle are equal , the opposite sides are ...
... isosceles triangle at right angles , bisects also the verti- cal angle . 59. Cor . 3. Every equilateral triangle is also equian- gular . PROPOSITION VIII . - THEOREM . A 60. If two angles of a triangle are equal , the opposite sides are ...
Side 37
... triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles ... equilateral triangle is also equiangular ( Prop . VII . Cor . 3 ) , each of its angles will be equal to two thirds of ...
... triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles ... equilateral triangle is also equiangular ( Prop . VII . Cor . 3 ) , each of its angles will be equal to two thirds of ...
Side 78
... triangles DAF , CBE , are mutu- ally equilateral , and consequently equal ( Prop . XVIII . Bk . I. ) . If from the quadrilateral A B E D , we take away the tri- angle A D F , there will remain the parallelogram ABEF ; and if from the ...
... triangles DAF , CBE , are mutu- ally equilateral , and consequently equal ( Prop . XVIII . Bk . I. ) . If from the quadrilateral A B E D , we take away the tri- angle A D F , there will remain the parallelogram ABEF ; and if from the ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1862 |
Elements of Geometry and Trigonometry;: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1863 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle equal angles ACD base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater GREENLEAF'S half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent triangle ABC triangle equal trigonometric functions TRIGONOMETRY vertex
Populære avsnitt
Side 37 - 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.
Side 103 - 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.
Side 95 - Each side of a spherical triangle is less than the sum of the other two sides.
Side 172 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their common section, will be perpendicular to the other plane.
Side 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 272 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Side 33 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Side 94 - In any quadrilateral the sum of the squares of the sides is equivalent to the sum of the squares of the diagonals, plus four times the square of the straight line that joins the middle points of the diagonals.
Side 102 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.