Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 10
... right angles , and three obtuse angles in the figure on page 4 . TRIANGLES AND THEIR NOTATION . 21. If the points A ... triangle . The segments are the sides of the triangle , and the points are its vertices . The symbol A is used ...
... right angles , and three obtuse angles in the figure on page 4 . TRIANGLES AND THEIR NOTATION . 21. If the points A ... triangle . The segments are the sides of the triangle , and the points are its vertices . The symbol A is used ...
Página 11
... triangle is called a right triangle if it has one right angle , an obtuse triangle if it has one obtuse angle , an acute triangle if all its angles are acute . Hypotenuse Select each kind from the figures on this page . The side of a ...
... triangle is called a right triangle if it has one right angle , an obtuse triangle if it has one obtuse angle , an acute triangle if all its angles are acute . Hypotenuse Select each kind from the figures on this page . The side of a ...
Página 12
... triangle also equilateral ? 2. Is a right triangle ever isosceles ? Is an obtuse triangle ever isosceles ? Draw figures to illustrate your answers . 3. In the figure on page 4 determine by measuring sides which of the triangles HNP ...
... triangle also equilateral ? 2. Is a right triangle ever isosceles ? Is an obtuse triangle ever isosceles ? Draw figures to illustrate your answers . 3. In the figure on page 4 determine by measuring sides which of the triangles HNP ...
Página 15
... 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 two right triangles are congruent if the legs of one are ...
... 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 two right triangles are congruent if the legs of one are ...
Página 20
... triangles , §§ 32 , 35 , 40 , lie at the foundation of the mathematics used in land surveying . The fact that certain parts of a triangle ... right angle . The three tests for congruence of two triangles are of constant use in ...
... triangles , §§ 32 , 35 , 40 , lie at the foundation of the mathematics used in land surveying . The fact that certain parts of a triangle ... right angle . The three tests for congruence of two triangles are of constant use in ...
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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,