Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 23
... proposition in specific terms , thus : D B E Let AB ( see the diagram ) be the given line - segment . It is required to construct an equilateral triangle , of which AB is one side . Next proceed with the construction . With centre A ...
... proposition in specific terms , thus : D B E Let AB ( see the diagram ) be the given line - segment . It is required to construct an equilateral triangle , of which AB is one side . Next proceed with the construction . With centre A ...
Σελίδα 24
... proposition a problem or a theorem ? 2. If F is the other point of intersection of the two circles , and we join AF ... proposition . The same order , written out in less detail , perhaps , will be followed in all the proposi- tions . We ...
... proposition a problem or a theorem ? 2. If F is the other point of intersection of the two circles , and we join AF ... proposition . The same order , written out in less detail , perhaps , will be followed in all the proposi- tions . We ...
Σελίδα 30
... Proposition IV may be divided into hypothe- sis and conclusion , thus : Hypothesis . If two triangles have two sides and the in- cluded angle of the one equal , respectively , to two sides and the included angle of the other ...
... Proposition IV may be divided into hypothe- sis and conclusion , thus : Hypothesis . If two triangles have two sides and the in- cluded angle of the one equal , respectively , to two sides and the included angle of the other ...
Σελίδα 31
... proposition , like the last one , is proved by superposition . Let ABC and DEF ( or D'E'F " ) be two given triangles in which the side EF is equal to the side BC , and the angles at E and F are respectively equal to the angles at B and ...
... proposition , like the last one , is proved by superposition . Let ABC and DEF ( or D'E'F " ) be two given triangles in which the side EF is equal to the side BC , and the angles at E and F are respectively equal to the angles at B and ...
Σελίδα 32
... propositions . Proposition IV may be stated : HYPOTHESIS . If two triangles have two sides and the included angle of the one equal , respectively , to two sides and the included angle of the other , CONCLUSION . Then the base and the ...
... propositions . Proposition IV may be stated : HYPOTHESIS . If two triangles have two sides and the included angle of the one equal , respectively , to two sides and the included angle of the other , CONCLUSION . Then the base and the ...
Άλλες εκδόσεις - Προβολή όλων
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle BAC angle formed angles are equal apothem base bisects boundaries called centre chord circumscribed coincide construct a triangle convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw edges equal angles equal in area equiangular equidistant equilateral triangle EXERCISES geometrical given circle given line-segment given plane given point given straight line greater Hence hypotenuse identically equal included angle interior angles isosceles triangle length locus of points magnitudes meet mid-point number of sides opposite sides pair parallel lines parallelogram perimeter perpen plane angles point of contact point of intersection polyhedron prism produced Proof Prop PROPOSITION pyramid quadrilateral radii radius ratio rectangle reflex angle regular polygon required to prove respectively right triangle segment side BC similar sphere square straight angle subtended supplementary angle surface tangent theorem third side triangle ABC unequal vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 189 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 232 - 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.
Σελίδα 57 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Σελίδα 78 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Σελίδα 45 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Σελίδα 233 - A polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a, pentagon; one of six sides, a hexagon ; one of seven sides, a heptagon ; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon.
Σελίδα 29 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 202 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 163 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 231 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.