Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 sider |
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Resultat 1-5 av 40
Side 12
... comparing geometric figures it is assumed that they may be moved about at will , either in the same plane or out of it , without changing their shape or size . 27. Two figures are said to be similar if they have the same shape . This is ...
... comparing geometric figures it is assumed that they may be moved about at will , either in the same plane or out of it , without changing their shape or size . 27. Two figures are said to be similar if they have the same shape . This is ...
Side 15
... compare the included angles . 3. Could two sides of one triangle be equal respectively to two sides of another and still the triangles not be congruent ? Illustrate by constructing two such triangles . 4. Show by the test of § 32 that ...
... compare the included angles . 3. Could two sides of one triangle be equal respectively to two sides of another and still the triangles not be congruent ? Illustrate by constructing two such triangles . 4. Show by the test of § 32 that ...
Side 38
... Compare this theorem with that of § 90. The hy- pothesis of either is seen to be the conclusion of the other . When two theorems are thus related , each is said to be the converse of the other . Other pairs of converse theo- rems thus ...
... Compare this theorem with that of § 90. The hy- pothesis of either is seen to be the conclusion of the other . When two theorems are thus related , each is said to be the converse of the other . Other pairs of converse theo- rems thus ...
Side 41
... Compare this theorem with that of § 83 . 104. Definition . A theorem which follows very easily from another theo- rem is called a corollary of that theorem . E.g. the theorem in § 103 is a corollary of that in § 102 . 105 . EXERCISES ...
... Compare this theorem with that of § 83 . 104. Definition . A theorem which follows very easily from another theo- rem is called a corollary of that theorem . E.g. the theorem in § 103 is a corollary of that in § 102 . 105 . EXERCISES ...
Side 48
... Compare DE and DF . Prove your conclusion . - = 3. If in the figure 2 21 15 ° , and 24 = find each angle of the ... compare the resulting four triangles . A E E B D B 10. Triangle ABC is equilateral . ADBE = CF. Compare 48 PLANE GEOMETRY .
... Compare DE and DF . Prove your conclusion . - = 3. If in the figure 2 21 15 ° , and 24 = find each angle of the ... compare the resulting four triangles . A E E B D B 10. Triangle ABC is equilateral . ADBE = CF. Compare 48 PLANE GEOMETRY .
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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,