The Ontario High School Geometry: TheoreticalCopp, Clark Company, 1910 - 302 páginas |
Dentro del libro
Página 59
... Any two sides of a triangle are together greater than the third side . B Hypothesis . ABC is a △ . To prove that AB + AC > BC . Construction . - Bisect A and let the bisector meet BC at D. Proof . - ADC is an exterior of △ ABD ...
... Any two sides of a triangle are together greater than the third side . B Hypothesis . ABC is a △ . To prove that AB + AC > BC . Construction . - Bisect A and let the bisector meet BC at D. Proof . - ADC is an exterior of △ ABD ...
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Términos y frases comunes
AB² altitude base bisects centre chord circles touch circumference circumscribed common tangent concyclic Construct corresponding sides cyclic quadrilateral Describe a circle diagonals diagram diameter divided draw a st EFGH equal in area equiangular polygon equidistant equilateral exterior figure Find a point Find the locus fixed points given circle given point given st given straight line gm ABCD hypotenuse Hypothesis Hypothesis.-ABC inches inscribed circle isosceles KLMN length line drawn line joining mean proportional median drawn middle point opposite sides parallelogram perpendicular point of contact point of intersection polygon produced Proof Prove radius rect rectangle contained respectively equal rhombus right bisector secant segment Show sides equal similar square subtend tangent THEOREM triangle vertex vertices
Pasajes populares
Página 130 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Página 242 - If two triangles have two sides of one proportional to two sides of the other, and the angles opposite one pair of corresponding sides...
Página 241 - 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.
Página 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Página 254 - 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.
Página 253 - When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other...
Página 235 - Plot the locus of a point which moves so that the ratio of its distances from two fixed points remains constant.
Página 122 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 66 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Página 113 - TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.
Información bibliográfica
| Título | The Ontario High School Geometry: Theoretical |
| Autor | Alexander H. McDougall |
| Editor | Copp, Clark Company, 1910 |
| Procedencia del original | Universidad de California |
| Digitalizado | 30 Nov. 2007 |
| Largo | 302 páginas |
| Exportar cita | BiBTeX EndNote RefMan |