Elements of Plane GeometryAmerican Book Company, 1901 - 247 σελίδες |
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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 9
... length , breadth , and thickness . 3. The boundaries of a solid are surfaces . A surface has but two dimensions : length and breadth . 4. The boundaries of a surface are lines . A line has length only . 5. The ends of a line are points ...
... length , breadth , and thickness . 3. The boundaries of a solid are surfaces . A surface has but two dimensions : length and breadth . 4. The boundaries of a surface are lines . A line has length only . 5. The ends of a line are points ...
Σελίδα 10
... length of its sides , and is not altered by either increasing or diminishing their length . 14. Two angles are equal if they can be made to coincide . Thus , angles ABC and DEF are equal , whatever may be the length of each side , if ...
... length of its sides , and is not altered by either increasing or diminishing their length . 14. Two angles are equal if they can be made to coincide . Thus , angles ABC and DEF are equal , whatever may be the length of each side , if ...
Σελίδα 13
... length . 3. If two lines are unequal , the length of the smaller can be laid off on the larger . 4. A circumference can be described with any point as a center , and with a radius of any length . SYMBOLS AND ABBREVIATIONS BOOK I ...
... length . 3. If two lines are unequal , the length of the smaller can be laid off on the larger . 4. A circumference can be described with any point as a center , and with a radius of any length . SYMBOLS AND ABBREVIATIONS BOOK I ...
Σελίδα 24
... length to m . m n Lay off CE equal to n . Draw DE . Α ' B E △ CDE is the required △ because it fulfills all the required conditions ; i.e. it is right angled at C , and the sides about C are equal respectively to m and n . Q.E.F ...
... length to m . m n Lay off CE equal to n . Draw DE . Α ' B E △ CDE is the required △ because it fulfills all the required conditions ; i.e. it is right angled at C , and the sides about C are equal respectively to m and n . Q.E.F ...
Σελίδα 78
... lengths of the three medians . [ §§ 244 and 245. ] 56. If the diagonals of a trapezoid are equal , the non - parallel sides are equal . BM and CN are each to AD . Prove and AACN A DBM , = ΔΑΒΜ = ΔΙΟΝ . B M B 57. In the equilateral ...
... lengths of the three medians . [ §§ 244 and 245. ] 56. If the diagonals of a trapezoid are equal , the non - parallel sides are equal . BM and CN are each to AD . Prove and AACN A DBM , = ΔΑΒΜ = ΔΙΟΝ . B M B 57. In the equilateral ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Σελίδα 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.
Σελίδα 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.
Σελίδα 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Σελίδα 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.
Σελίδα 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.