Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 sider |
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Side 15
... Show by the test of § 32 that two right triangles are congruent if the legs of one are equal respectively to the legs of the other . Can this be shown directly by superposition ? 5. Find the distance AB when , on account of some ...
... Show by the test of § 32 that two right triangles are congruent if the legs of one are equal respectively to the legs of the other . Can this be shown directly by superposition ? 5. Find the distance AB when , on account of some ...
Side 16
... show that △ ABC ≈ △ A'B'C ' . Place A ABC upon △ A'B'C ' so that AB coincides with its equal A'B ' , making c fall on the same side of A'B ' as c ' . Then AC will take the direction of A'c ' , since ZA ZA ' , and the point C must ...
... show that △ ABC ≈ △ A'B'C ' . Place A ABC upon △ A'B'C ' so that AB coincides with its equal A'B ' , making c fall on the same side of A'B ' as c ' . Then AC will take the direction of A'c ' , since ZA ZA ' , and the point C must ...
Side 17
... Show that the dis- tance AC may be found by measuring AC ' . = 6. Show how to find the distance between two inaccessible points A and B. SOLUTION . Suppose that both A and B are visible from C and D. ( 1 ) Using the triangle CDA , find ...
... Show that the dis- tance AC may be found by measuring AC ' . = 6. Show how to find the distance between two inaccessible points A and B. SOLUTION . Suppose that both A and B are visible from C and D. ( 1 ) Using the triangle CDA , find ...
Side 19
... show that in △ ACC ' 21 = < 2 ? Use the same argument to show that 3 = ≤ 4 . But if and then That is , 21 = 22 42 23 = 24 , Z1 + Z 3 = Z2 + Z 4 . ( § 39 ) LACBL BC'A . How does it now follow that AABCA ABC ' ? ( § 32 ) But Hence ...
... show that in △ ACC ' 21 = < 2 ? Use the same argument to show that 3 = ≤ 4 . But if and then That is , 21 = 22 42 23 = 24 , Z1 + Z 3 = Z2 + Z 4 . ( § 39 ) LACBL BC'A . How does it now follow that AABCA ABC ' ? ( § 32 ) But Hence ...
Side 21
... show how to find it . 2. Could AB be given , of such length as to make the construction in § 45 impossible ? 3. Is there any condition under which one point only could be found in the above construction ? If so , what would be the ...
... show how to find it . 2. Could AB be given , of such length as to make the construction in § 45 impossible ? 3. Is there any condition under which one point only could be found in the above construction ? If so , what would be the ...
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Plane Geometry: With Problems and Applications Herbert Ellsworth Slaught,Nels Johann Lennes Uten tilgangsbegrensning - 1910 |
Plane Geometry: With Problems and Applications Herbert Ellsworth Slaught,Nels Johann Lennes Uten tilgangsbegrensning - 1910 |
Vanlige uttrykk og setninger
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects 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 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 ᎠᏴ
Populære avsnitt
Side 223 - If two triangles have two sides of the one equal to two sides of the other...
Side 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Side 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Side 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.
Side 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.
Side 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.
Side 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Side 210 - The area of a rectangle is equal to the product of its base and altitude.
Side 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,