The Elements of GeometryMacmillan, 1886 - 366 páginas |
Dentro del libro
Resultados 1-5 de 14
Página viii
... arms , defined 59. Explement defined 60. Equal angles defined 10 84. Equivalent defined 15 · 10 10 10 10 metic . • 10 • II 11 61. Adjacent angles and their sum de- fined . . . • • II 62. Straight angle defined . 63. When two adjacent ...
... arms , defined 59. Explement defined 60. Equal angles defined 10 84. Equivalent defined 15 · 10 10 10 10 metic . • 10 • II 11 61. Adjacent angles and their sum de- fined . . . • • II 62. Straight angle defined . 63. When two adjacent ...
Página 11
... Arms , of the angle . A line drawn from the vertex , and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other , is said to turn through the angle ; and ...
... Arms , of the angle . A line drawn from the vertex , and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other , is said to turn through the angle ; and ...
Página 12
... arms in the same line , and on different sides of the vertex . B А 63. The sum of two adjacent angles which have their exterior arms in the same line on different sides of the vertex is a straight angle . B A 64. When the sum of any two ...
... arms in the same line , and on different sides of the vertex . B А 63. The sum of two adjacent angles which have their exterior arms in the same line on different sides of the vertex is a straight angle . B A 64. When the sum of any two ...
Página 13
George Bruce Halsted. arms will form one line ; and then the two angles are called Supplemental Adjacent Angles . C 0 66. A Right Angle is half a straight angle . A 67. A Perpendicular to a line is a line that makes a right angle with it ...
George Bruce Halsted. arms will form one line ; and then the two angles are called Supplemental Adjacent Angles . C 0 66. A Right Angle is half a straight angle . A 67. A Perpendicular to a line is a line that makes a right angle with it ...
Página 14
... arm in common , are called Vertical Angles . B C D A 76. That which divides a magnitude into two equal parts is said to halve or bisect the magnitude , and is called a Bisector . 77. If we imagine a figure moved , we may also suppose it ...
... arm in common , are called Vertical Angles . B C D A 76. That which divides a magnitude into two equal parts is said to halve or bisect the magnitude , and is called a Bisector . 77. If we imagine a figure moved , we may also suppose it ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD alternate angles altitude angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY cross-ratio describe diagonals diameter divided draw equal are congruent equal sects equiangular equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior intersecting lines isosceles triangle less locus magnitudes meet mid-point multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN prismatoid PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal rhombus right angle Rule of Inversion sect joining segment sides equal sphere spherical polygon square straight angle subtended supplemental surface symmetrical tangent THEOREM THEOREM VIII three sides transversal triangles are congruent vertex
Pasajes populares
Página 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Página 112 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Página 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Página 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Página 266 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Página 13 - An Acute Angle is one which is less than a right angle.
Página 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Página 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.
Página 103 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.