Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Σελίδα 39
... Base of the triangle . See figure accompanying § 95 . 93. The angle opposite the base of a triangle is called the Vertical Angle , and its vertex is called the Vertex of the triangle . Altitude Altitude 94. The perpendicular distance ...
... Base of the triangle . See figure accompanying § 95 . 93. The angle opposite the base of a triangle is called the Vertical Angle , and its vertex is called the Vertex of the triangle . Altitude Altitude 94. The perpendicular distance ...
Σελίδα 43
... base , how do the triangles thus formed compare in size ? Ex . 48. If two lines bisect each other , in what direction do the lines joining their opposite extremities extend with reference to each other ? Ex . 49. If two sides of a ...
... base , how do the triangles thus formed compare in size ? Ex . 48. If two lines bisect each other , in what direction do the lines joining their opposite extremities extend with reference to each other ? Ex . 49. If two sides of a ...
Σελίδα 48
... base ? Ex . 62. The base of an isosceles triangle is 6 inches and the opposite angle is 60 ° . How many degrees are there in each of the base angles ? What is the length of each of the other two sides ? Proposition XXV 120. 1. Draw an ...
... base ? Ex . 62. The base of an isosceles triangle is 6 inches and the opposite angle is 60 ° . How many degrees are there in each of the base angles ? What is the length of each of the other two sides ? Proposition XXV 120. 1. Draw an ...
Σελίδα 49
... base ? What kind of angles does it form with the base ? 2. Draw a line perpendicular to the base of an isosceles triangle at its middle point . How does it divide the triangle ? How does it divide the vertical angle ? 3. Draw a line ...
... base ? What kind of angles does it form with the base ? 2. Draw a line perpendicular to the base of an isosceles triangle at its middle point . How does it divide the triangle ? How does it divide the vertical angle ? 3. Draw a line ...
Σελίδα 50
... base . LA = LD , Zt = 2v ; AABC = ADBC . △ ABC A DEF . = Q.E.D. from the vertex to the base of a certain triangle What kind of an angle is the vertical angle ? Proposition XXVII 124. 1. Draw any triangle . How does 50 PLANE GEOMETRY ...
... base . LA = LD , Zt = 2v ; AABC = ADBC . △ ABC A DEF . = Q.E.D. from the vertex to the base of a certain triangle What kind of an angle is the vertical angle ? Proposition XXVII 124. 1. Draw any triangle . How does 50 PLANE GEOMETRY ...
Άλλες εκδόσεις - Προβολή όλων
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.