The Elements of GeometryJ. Wiley & Sons, 1885 - 366 páginas |
Dentro del libro
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Página viii
... angles about a point is a perigon • 14 8 73 . Reflex angle defined • 14 9 74 . Oblique angles and lines defined 14 9 ... Equal angles defined 61. Adjacent angles and their sum de- fined • 62. Straight angle defined . 63. When two ...
... angles about a point is a perigon • 14 8 73 . Reflex angle defined • 14 9 74 . Oblique angles and lines defined 14 9 ... Equal angles defined 61. Adjacent angles and their sum de- fined • 62. Straight angle defined . 63. When two ...
Página 11
... angle , we B A 0 are fixing the attention upon one of the two explemental angles which they really form ; and usually we mean the smaller angle . 60. Two angles are called Equal if they can be placed so that their arms coincide , and ...
... angle , we B A 0 are fixing the attention upon one of the two explemental angles which they really form ; and usually we mean the smaller angle . 60. Two angles are called Equal if they can be placed so that their arms coincide , and ...
Página 14
... angles about a point in a plane is a perigon . 73. A Reflex Angle is one which is greater than a straight angle ... equal parts is said to halve or bisect the magnitude , and is called a Bisector . 77. If we imagine a figure moved , we ...
... angles about a point in a plane is a perigon . 73. A Reflex Angle is one which is greater than a straight angle ... equal parts is said to halve or bisect the magnitude , and is called a Bisector . 77. If we imagine a figure moved , we ...
Página 16
... equal . 89. If equals be taken from equals , the remainders are equal . go . If to equals unequals are added , the ... angles are equal to one another . 99. Two lines which intersect one another cannot both be parallel to the same line ...
... equal . 89. If equals be taken from equals , the remainders are equal . go . If to equals unequals are added , the ... angles are equal to one another . 99. Two lines which intersect one another cannot both be parallel to the same line ...
Página 18
... angles are equal . Such a proposition is proved in geometry by showing it to be true of any two right angles we choose to take . G F H DC 0 B A The hypothesis will be , that we have any two right angles ; as , for instance , right AOB ...
... angles are equal . Such a proposition is proved in geometry by showing it to be true of any two right angles we choose to take . G F H DC 0 B A The hypothesis will be , that we have any two right angles ; as , for instance , right AOB ...
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Términos y frases comunes
ABCD alternate angles angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY diagonal diameter divided draw end point equal are congruent equal sects equiangular equilateral equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior isosceles triangle less line perpendicular magnitudes meet multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal right angle Rule of Inversion sect joining segment sphere spherical polygon spherical triangle square straight angle subtended surface symmetrical tangent tetrahedron THEOREM THEOREM VII transversal triangles are congruent vertex vertices
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 270 - BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle.
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.