Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 11
... equal , if they can be so placed that the points at their extremities coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality ...
... equal , if they can be so placed that the points at their extremities coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality ...
Σελίδα 13
... equal to the same thing are equal to each other . 2. When equals are added to equals the wholes are equal . 3. When equals are taken from equals the remainders are equal . 4. When equals are added to unequals the wholes are unequal . 5.
... equal to the same thing are equal to each other . 2. When equals are added to equals the wholes are equal . 3. When equals are taken from equals the remainders are equal . 4. When equals are added to unequals the wholes are unequal . 5.
Σελίδα 37
... equal in all respects . 81. DEF . In two equal triangles , the equal angles are called Homologous angles , and the equal sides are called Homologous sides . 82. In equal triangles the equal sides are opposite the equal angles . SCALENE ...
... equal in all respects . 81. DEF . In two equal triangles , the equal angles are called Homologous angles , and the equal sides are called Homologous sides . 82. In equal triangles the equal sides are opposite the equal angles . SCALENE ...
Σελίδα 41
... equal to an acute angle of the other , the other acute angles will be equal . 102. COR . 4. In a triangle there can be but one right angle , or one obtuse angle . 103. COR . 5. In a right triangle the two acute angles are complements of ...
... equal to an acute angle of the other , the other acute angles will be equal . 102. COR . 4. In a triangle there can be but one right angle , or one obtuse angle . 103. COR . 5. In a right triangle the two acute angles are complements of ...
Σελίδα 42
George Albert Wentworth. PROPOSITION XXIII . THEOREM . 106. Two triangles are equal in all respects when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other . C B A4 C ' B ...
George Albert Wentworth. PROPOSITION XXIII . THEOREM . 106. Two triangles are equal in all respects when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other . C B A4 C ' B ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 38 - Any side of a triangle is less than the sum of the other two sides.
Σελίδα 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Σελίδα 207 - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
Σελίδα 188 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 146 - 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'.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.