Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página v
... suggestions are given . Any uniform method would make it impossible to leave that to the pupil which he can do for himself , and at the same time to give full assistance where that is needed . In no case are questions asked PREFACE . V.
... suggestions are given . Any uniform method would make it impossible to leave that to the pupil which he can do for himself , and at the same time to give full assistance where that is needed . In no case are questions asked PREFACE . V.
Página 16
... SUGGESTION . Lay out a triangle on the ground which is congruent to ABC , using § 35 . 3. By the second test determine whether △ OHG≃ △ OJK on page 4 . 4. Draw any triangle . Construct another tri- C B A C ' B A B 2 A 1 C angle ...
... SUGGESTION . Lay out a triangle on the ground which is congruent to ABC , using § 35 . 3. By the second test determine whether △ OHG≃ △ OJK on page 4 . 4. Draw any triangle . Construct another tri- C B A C ' B A B 2 A 1 C angle ...
Página 22
... SUGGESTION . Let AB be the given segment . Construct a right angle A'B'C ' as in Ex . 4. Then as in § 47 construct ∠ABC = ∠A'B'C ' . 50. Definition . A line which is perpendicular to a line- segment at its middle point is called the ...
... SUGGESTION . Let AB be the given segment . Construct a right angle A'B'C ' as in Ex . 4. Then as in § 47 construct ∠ABC = ∠A'B'C ' . 50. Definition . A line which is perpendicular to a line- segment at its middle point is called the ...
Página 35
... SUGGESTION . Suppose a third drawn . Then apply §§ 37 , 83 , 84 . 3. Show by joining the vertex A of the triangle ABC to any point of the side BC that ∠B + ∠C < 2 rt . 6. Use § 83 . 4. If two angles of a triangle are equal , the sides ...
... SUGGESTION . Suppose a third drawn . Then apply §§ 37 , 83 , 84 . 3. Show by joining the vertex A of the triangle ABC to any point of the side BC that ∠B + ∠C < 2 rt . 6. Use § 83 . 4. If two angles of a triangle are equal , the sides ...
Página 37
... SUGGESTION . Let AB be a segment of the given line and let C be the given point . Draw CA and CB and proceed as in Ex . 2 . 95. Exs . 2 and 3 above show that through a point P , not on a line l , at least one line l1 can be drawn ...
... SUGGESTION . Let AB be a segment of the given line and let C be the given point . Draw CA and CB and proceed as in Ex . 2 . 95. Exs . 2 and 3 above show that through a point P , not on a line l , at least one line l1 can be drawn ...
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Términos y frases comunes
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects called central angle chord circle tangent circumscribed coincide congruent corresponding sides Definition diagonal diameter distance divided dodecagon Draw drawn equal angles equal circles equiangular equilateral triangle EXERCISES exterior angle figure Find the area Find the locus Find the radius fixed point geometric Give the proof given point given segment given triangle Hence hypotenuse hypothesis inches inscribed intersection isosceles trapezoid isosceles triangle l₁ length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perigon perimeter plane proof in full quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angles right triangle secant semicircle Show shown square straight angle straight line subtend SUGGESTION THEOREM trapezoid triangle ABC vertex vertices width
Pasajes populares
Página 223 - If two triangles have two sides of the one equal to two sides of the other...
Página 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 60 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Página 182 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Página 161 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Página 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Página 210 - The area of a rectangle is equal to the product of its base and altitude.
Página 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,