The Elements of GeometryJ. Wiley & Sons, 1885 - 366 σελίδες |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 10
... both ways , do not meet . A B C D 58. When two lines are drawn from the same point , they are said to contain , or to make with each other , an Angle . The point is called the Vertex , and the lines IO OF GEOMETRY . THE ELEMENTS of.
... both ways , do not meet . A B C D 58. When two lines are drawn from the same point , they are said to contain , or to make with each other , an Angle . The point is called the Vertex , and the lines IO OF GEOMETRY . THE ELEMENTS of.
Σελίδα 16
... meet twice ; that is , if two lines have two points in common , the two sects between those points coincide . out . 96. If two lines have a common sect , they coincide through- Therefore through two points , only one distinct line can ...
... meet twice ; that is , if two lines have two points in common , the two sects between those points coincide . out . 96. If two lines have a common sect , they coincide through- Therefore through two points , only one distinct line can ...
Σελίδα 39
... to another , subject to the condition that it shall meet a given straight line . 15. The four sides of a quadrilateral figure are together greater than its two diagonals . THEOREM XIV . 152. Two obliques from a point , INEQUALITIES . 39.
... to another , subject to the condition that it shall meet a given straight line . 15. The four sides of a quadrilateral figure are together greater than its two diagonals . THEOREM XIV . 152. Two obliques from a point , INEQUALITIES . 39.
Σελίδα 43
... meet AB in F. Then ( CB + BF ) > ( CF ) , and [ DF + FA ] > [ DA ] . .. ( 156. In a triangle any two sides are together greater than the third . ) CB + BA = ( CB + BF ) + FA > ( CF ) + FA ( II . ) Next , in △ AFD = CD + [ DF + FA ] ...
... meet AB in F. Then ( CB + BF ) > ( CF ) , and [ DF + FA ] > [ DA ] . .. ( 156. In a triangle any two sides are together greater than the third . ) CB + BA = ( CB + BF ) + FA > ( CF ) + FA ( II . ) Next , in △ AFD = CD + [ DF + FA ] ...
Σελίδα 44
... meets AC . By 100 , join DG . Then , in the triangles ABG and BDG , by construction , & ABG = DBG ; by hypothesis , AB = BD ; and BG is common . : . Δ ABG = Δ DBG , ( 124. Two triangles are congruent if two sides and the included angle ...
... meets AC . By 100 , join DG . Then , in the triangles ABG and BDG , by construction , & ABG = DBG ; by hypothesis , AB = BD ; and BG is common . : . Δ ABG = Δ DBG , ( 124. Two triangles are congruent if two sides and the included angle ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 13 - An Acute Angle is one which is less than a right angle.
Σελίδα 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...
Σελίδα 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.