Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 17
... theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . 3. A problem is a question proposed , which requires a solution . 4. A lemma is a subsidiary truth , employed for the demonstration of ...
... theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . 3. A problem is a question proposed , which requires a solution . 4. A lemma is a subsidiary truth , employed for the demonstration of ...
Σελίδα 19
... Theorems . Besides admitting the truth of axioms , it is necessary to admit that certain very simple operations may be ... THEOREM . When a straight line meets another straight line , the sum of the two adjacent angles , thus formed , is ...
... Theorems . Besides admitting the truth of axioms , it is necessary to admit that certain very simple operations may be ... THEOREM . When a straight line meets another straight line , the sum of the two adjacent angles , thus formed , is ...
Σελίδα 21
... THEOREM . When two lines intersect each other , the op- posite angles are equal . Let the two lines AB , CD inter- sect at the point F ; then will the angle AFC be equal to BFD , and the angle AFD equal to BFC . A D B For , since the ...
... THEOREM . When two lines intersect each other , the op- posite angles are equal . Let the two lines AB , CD inter- sect at the point F ; then will the angle AFC be equal to BFD , and the angle AFD equal to BFC . A D B For , since the ...
Σελίδα 20
... THEOREM . When two lines intersect each other , the op- posite angles are equal . Let the two lines AB , CD inter- sect at the point F ; then will the angle AFC be equal to BFD , and A the angle AFD equal to BFC . B For , since the line ...
... THEOREM . When two lines intersect each other , the op- posite angles are equal . Let the two lines AB , CD inter- sect at the point F ; then will the angle AFC be equal to BFD , and A the angle AFD equal to BFC . B For , since the line ...
Σελίδα 25
... THEOREM . If two triangles have two angles and the in- terjacent side of the one equal to two angles and the interjacent side of the other , the triangles will be iden- tical , or equal in all respects . A. B D A F In the two triangles ...
... THEOREM . If two triangles have two angles and the in- terjacent side of the one equal to two angles and the interjacent side of the other , the triangles will be iden- tical , or equal in all respects . A. B D A F In the two triangles ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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a+b+c altitude angle ABC angle ACD angle BAC bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle ference figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line CD lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel lines parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar solid angle sphere spherical polygon square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII