The Elements of GeometryMacmillan, 1886 - 366 Seiten |
Im Buch
Seite 191
... two sides of the one proportional to two sides of the other , and an angle in each opposite one cor- responding pair of these sides equal , the angles opposite the other pair are either equal or supplemental . B C D A G H The angles ...
... two sides of the one proportional to two sides of the other , and an angle in each opposite one cor- responding pair of these sides equal , the angles opposite the other pair are either equal or supplemental . B C D A G H The angles ...
Seite 192
... two sides of the one proportional to two sides of the other , and an angle in each opposite one corresponding pair of these sides equal , then if one of the angles opposite the other pair is right , or if they are oblique , but not ...
... two sides of the one proportional to two sides of the other , and an angle in each opposite one corresponding pair of these sides equal , then if one of the angles opposite the other pair is right , or if they are oblique , but not ...
Häufige Begriffe und Wortgruppen
ABCD altitude angle equal angles are equal angles opposite base bisect called chord circumcenter coincide commutative law CONCLUSION construction COROLLARY describe diagonal diameter divided draw end point equal angles equal are congruent equal circles 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 intercept intersecting lines isosceles triangle less magnitudes meet multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN PROOF quadrilateral radii radius ratio rectangle contained regular polygon respectively equal right angle Rule of Inversion secant sect joining segment similar triangles sphere spherical polygon spherical triangle square straight angle subtended symmetrical tangent THEOREM THEOREM VII triangles are congruent unequal vertex vertices whole numbers
Beliebte Passagen
Seite 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.
Seite 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.
Seite 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Seite 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.
Seite 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.
Seite 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.
Seite 13 - An Acute Angle is one which is less than a right angle.
Seite 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...
Seite 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.
Seite 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.