Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 18
... ABCD move to the right , what solid is generated by it ? What surfaces are generated by its bounding lines ? What lines by the ver- tices of its angles ? E B H Ex . 12. Draw two supplementary adjacent angles . Also 18 PLANE GEOMETRY.
... ABCD move to the right , what solid is generated by it ? What surfaces are generated by its bounding lines ? What lines by the ver- tices of its angles ? E B H Ex . 12. Draw two supplementary adjacent angles . Also 18 PLANE GEOMETRY.
Σελίδα 68
... ABCD . To prove AD = BC , AB = DC , LB = LD , and ≤ BAD = LBCD . Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC = AC , LBCAL CAD , = ( being alt . int . of parallel lines ) . LBAC LACD , = ( same reason ) . ABC : . Δ ...
... ABCD . To prove AD = BC , AB = DC , LB = LD , and ≤ BAD = LBCD . Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC = AC , LBCAL CAD , = ( being alt . int . of parallel lines ) . LBAC LACD , = ( same reason ) . ABC : . Δ ...
Σελίδα 69
... ABCD in which AB = CD_and BC = AD . To prove ABCD a C Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC AC . BC = AD . AB = CD . : . Δ ΑΒ ( = Δ ADC . : . Z BAC = ZACD . .. AB || CD , ( Why ? ) ( Why ? ) ( Why ? ) ( Why ...
... ABCD in which AB = CD_and BC = AD . To prove ABCD a C Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC AC . BC = AD . AB = CD . : . Δ ΑΒ ( = Δ ADC . : . Z BAC = ZACD . .. AB || CD , ( Why ? ) ( Why ? ) ( Why ? ) ( Why ...
Σελίδα 70
... ABCD in which BC = and | AD . To prove ABCD a O. Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC = AC . BC = AD . LBCA / CAD , = ( being alt . int . of parallel lines ) . : . Δ ΑΒC = Δ ADC . : . Z BAC = ≤ ACD . : . AB ...
... ABCD in which BC = and | AD . To prove ABCD a O. Proof . Draw the diagonal AC . Then , in the AABC and ADC , AC = AC . BC = AD . LBCA / CAD , = ( being alt . int . of parallel lines ) . : . Δ ΑΒC = Δ ADC . : . Z BAC = ≤ ACD . : . AB ...
Σελίδα 71
... ABCD , intersecting at F. To prove AF - FC , and BF - FD . Proof . Let the pupil supply the proof . [ SUG . In the △ BFC and AFD what sides are equal , and why ? What are equal , and why ? etc. ] Q. E. D. Ex . 1. How many pairs of ...
... ABCD , intersecting at F. To prove AF - FC , and BF - FD . Proof . Let the pupil supply the proof . [ SUG . In the △ BFC and AFD what sides are equal , and why ? What are equal , and why ? etc. ] Q. E. D. Ex . 1. How many pairs of ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed circumscribed circle coincide construct a square Construct a triangle denoted diagonal diameter divided draw a line equal angles equal circles equiangular polygon equidistant equilateral triangle EXERCISES exterior angle figure Find the area Find the radius geometric given angle given circle given line given point given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn median method midpoint number of sides parallel lines parallelogram perimeter plane PROBLEM produced Prop pupil supply Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segments tangent THEOREM third side trapezoid triangle ABC vertex vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 88 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 103 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Σελίδα 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...