Elements of Plane GeometryAmerican Book Company, 1901 - 247 Seiten |
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Seite 6
... Corollary , 25 Corresponding angles , 113 homologous , 544 interior , 113 opposite , 75 vertical , 75 Apothem , 716 Arc , 21 degree of , 347 Area , 561 Decagon , 152 Axiom , 27 Degree , of angle , 347 Axioms , list of , 27 of arc , 347 ...
... Corollary , 25 Corresponding angles , 113 homologous , 544 interior , 113 opposite , 75 vertical , 75 Apothem , 716 Arc , 21 degree of , 347 Area , 561 Decagon , 152 Axiom , 27 Degree , of angle , 347 Axioms , list of , 27 of arc , 347 ...
Seite 12
... corollary is a truth that may be readily deduced from one or more propositions . 26. A scholium is a remark made upon one or more proposi- tions relating to their use , connection , limitation , or extension . 27. An axiom is a self ...
... corollary is a truth that may be readily deduced from one or more propositions . 26. A scholium is a remark made upon one or more proposi- tions relating to their use , connection , limitation , or extension . 27. An axiom is a self ...
Seite 14
... ) measured by . Prop . Proposition . Cor . Corollary . Schol . Scholium . Q.E.D. Quod erat demonstrandum , which was to be proved . Q.E.F. Quod erat faciendum , which was to be done . 14 PLANE GEOMETRY SYMBOLS AND ABBREVIATIONS.
... ) measured by . Prop . Proposition . Cor . Corollary . Schol . Scholium . Q.E.D. Quod erat demonstrandum , which was to be proved . Q.E.F. Quod erat faciendum , which was to be done . 14 PLANE GEOMETRY SYMBOLS AND ABBREVIATIONS.
Seite 19
... all figures given in the first five books of this geometry , are understood to be in the same plane . The term " line " is used in this work for " straight line . " 41. COROLLARY . All right angles are equal . A BOOK I 19.
... all figures given in the first five books of this geometry , are understood to be in the same plane . The term " line " is used in this work for " straight line . " 41. COROLLARY . All right angles are equal . A BOOK I 19.
Seite 20
Alan Sanders. 41. COROLLARY . All right angles are equal . A ' F E Let ABC and DEF be 2 R.A.'s . To Prove ABC = DEF . Proof . Suppose them to be unequal and that ABC , when superimposed upon △ DEF , takes the position GEF . Then at E ...
Alan Sanders. 41. COROLLARY . All right angles are equal . A ' F E Let ABC and DEF be 2 R.A.'s . To Prove ABC = DEF . Proof . Suppose them to be unequal and that ABC , when superimposed upon △ DEF , takes the position GEF . Then at E ...
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Häufige Begriffe und Wortgruppen
AABC AB² ABC and DEF AC² adjacent angles altitudes angle formed angles equal apothem arc ABC arcs intercepted BC² bisector chord circles are tangent circum circumference Construct a triangle COROLLARY DEFINITION Describe a circle diagonals diameter divided EFGH equal circles equally distant equiangular polygon equilateral triangle EXERCISE exterior angles figure given angle given circle given line given point homologous homologous sides hypotenuse inscribed angle isosceles triangle joining the middle Let ABC Let To Prove line joining mean proportional medians meet middle points mutually equiangular opposite sides parallelogram passes perimeter perpendicular point of intersection prolonged PROPOSITION Prove ABCD Prove Proof quadrilateral ratio rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons similar triangles straight line tangent THEOREM trapezoid triangle ABC unequal vertex vertical angle Whence ΔΑΒΟ ᎠᏴ
Beliebte Passagen
Seite 68 - 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.
Seite 163 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Seite 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Seite 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Seite 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Seite 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Seite 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Seite 11 - 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.
Seite 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.