Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 11
... base . The angle opposite the base is Vertex called the vertex angle , and its vertex is the Vertex vertex of the triangle . The altitude of a tri- Altitude angle is the perpendic- ular from the vertex to Base Altitude Base the base or the ...
... base . The angle opposite the base is Vertex called the vertex angle , and its vertex is the Vertex vertex of the triangle . The altitude of a tri- Altitude angle is the perpendic- ular from the vertex to Base Altitude Base the base or the ...
Página 19
... base bisects the vertex angle and is perpendicular to the base . 5. What parts of a triangle have been found sufficient to determine it ? In each case how many parts are needed ? 43. The three tests for congruence of triangles ...
... base bisects the vertex angle and is perpendicular to the base . 5. What parts of a triangle have been found sufficient to determine it ? In each case how many parts are needed ? 43. The three tests for congruence of triangles ...
Página 26
... base angles of an isosceles triangle are equal " are geometric propositions . A proposition is proved or demonstrated when it is shown to follow from other known propositions . A theorem is a proposition which is to be proved . The ...
... base angles of an isosceles triangle are equal " are geometric propositions . A proposition is proved or demonstrated when it is shown to follow from other known propositions . A theorem is a proposition which is to be proved . The ...
Página 35
... base . 6. Show that an equiangular triangle is equilateral , and conversely . THEOREMS ON PARALLEL LINES . 88. A straight line which cuts two straight lines is called a transversal . The various angles formed are named as follows : 24 ...
... base . 6. Show that an equiangular triangle is equilateral , and conversely . THEOREMS ON PARALLEL LINES . 88. A straight line which cuts two straight lines is called a transversal . The various angles formed are named as follows : 24 ...
Página 46
... base is less than either of the equal sides . 4. Show that any altitude of an equilateral triangle bisects the vertex angle from which it is drawn and also bisects the base . 5. State and prove the converse of the theorem in Ex . 4 ...
... base is less than either of the equal sides . 4. Show that any altitude of an equilateral triangle bisects the vertex angle from which it is drawn and also bisects the base . 5. State and prove the converse of the theorem in Ex . 4 ...
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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,