Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Σελίδα 45
... sides are equal , the angles opposite the equal sides are equal , the sides included between equal angles are equal ... number of obtuse angles that a triangle may have ? The greatest number of right angles ? 4. If there are two ...
... sides are equal , the angles opposite the equal sides are equal , the sides included between equal angles are equal ... number of obtuse angles that a triangle may have ? The greatest number of right angles ? 4. If there are two ...
Σελίδα 58
... sides of the angle . How do the perpendiculars com pare in length ? How do ... angles . How does the difference of these angles compare with the difference of the base angles of the triangle ? Ex ... number of 58 PLANE GEOMETRY . — BOOK I.
... sides of the angle . How do the perpendiculars com pare in length ? How do ... angles . How does the difference of these angles compare with the difference of the base angles of the triangle ? Ex ... number of 58 PLANE GEOMETRY . — BOOK I.
Σελίδα 59
William James Milne. Proposition XXXV 135. Within an angle select any number ... sides lies in the bisector of the angle . ( Converse of Prop . XXXIV ... angles are formed at the intersection of these perpendiculars ? Ex . 88. The exterior ...
William James Milne. Proposition XXXV 135. Within an angle select any number ... sides lies in the bisector of the angle . ( Converse of Prop . XXXIV ... angles are formed at the intersection of these perpendiculars ? Ex . 88. The exterior ...
Σελίδα 68
... sides . 162. A polygon of three sides is called a trigon or triangle ; one of four sides , a tetragon or ... number of sides , and from any vertex of each draw its diagonals . How does the number of triangles into which each polygon is ...
... sides . 162. A polygon of three sides is called a trigon or triangle ; one of four sides , a tetragon or ... number of sides , and from any vertex of each draw its diagonals . How does the number of triangles into which each polygon is ...
Σελίδα 69
... sides less two . Data : A convex polygon of any number ( n ) of sides , as ABCDE . To prove the sum of the angles , A , B , C , D , and E equal to twice as many right angles as the polygon has sides less two . E A Ꭰ B Proof . From any ...
... sides less two . Data : A convex polygon of any number ( n ) of sides , as ABCDE . To prove the sum of the angles , A , B , C , D , and E equal to twice as many right angles as the polygon has sides less two . E A Ꭰ B Proof . From any ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABCD AC² adjacent angles angle formed angles are equal apothem arc intercepted base and altitude BC² bisector bisects CD² central angle chord circle whose center circumference circumscribing circle compare in length Construct a square Construct a triangle Data diagonals diameter divided equal circles equidistant equilateral triangle exterior extremities FGHJK given line given parallelogram given point given triangle Hence homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc meet middle point MILNE'S number of sides opposite sides parallel lines perimeter perpendicular produced proportion prove Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular inscribed regular polygon rhombus right angle right triangle secant similar polygons similar triangles square equivalent subtended tangent Theorem third side transversal trapezoid triangle ABC triangle equivalent triangle is equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Σελίδα 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Σελίδα 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.