Elements of Plane Geometry, Μέρος 1Harper & Brothers, 1878 - 132 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 15
... isosceles , † and scalene ; and the three with respect to their angles are right - angled , acute - angled , and obtuse - angled . 22. An Equilateral Triangle is a tri- angle that has its three sides equal . 23. An Isosceles Triangle is ...
... isosceles , † and scalene ; and the three with respect to their angles are right - angled , acute - angled , and obtuse - angled . 22. An Equilateral Triangle is a tri- angle that has its three sides equal . 23. An Isosceles Triangle is ...
Σελίδα 23
... isosceles triangle are equal , and , if the equal sides be produced , the angles below the base are also equal . Let ABC be an isosceles triangle ; then will the angles CAB and CBA be equal , and also the angles BAD and ABE ( the equal ...
... isosceles triangle are equal , and , if the equal sides be produced , the angles below the base are also equal . Let ABC be an isosceles triangle ; then will the angles CAB and CBA be equal , and also the angles BAD and ABE ( the equal ...
Σελίδα 24
... isosceles ; hence the angle DFG is equal to the angle DGF ( Prop . VI . ) . In like manner it can be demonstrated that the angle EFG is equal to EGF . Therefore ( adding these equals ) the angle DFE is equal to the DGE ( Ax . 2 ) . In ...
... isosceles ; hence the angle DFG is equal to the angle DGF ( Prop . VI . ) . In like manner it can be demonstrated that the angle EFG is equal to EGF . Therefore ( adding these equals ) the angle DFE is equal to the DGE ( Ax . 2 ) . In ...
Σελίδα 34
... isosceles , because DG is equal to DE ( const . ) ; hence the angle DGE is equal to the angle DEG ; but the angle GEF is greater than the angle GED ( Ax . 9 ) , and also greater than DGE ; but DGE is greater than EGF ; hence GEF is much ...
... isosceles , because DG is equal to DE ( const . ) ; hence the angle DGE is equal to the angle DEG ; but the angle GEF is greater than the angle GED ( Ax . 9 ) , and also greater than DGE ; but DGE is greater than EGF ; hence GEF is much ...
Σελίδα 46
... isosceles triangle with a given base and vertical angle . 3. To trisect a right angle - that is , to divide it into three equal parts . 4. Prove that every point of the bisectrix of an angle is equally distant from the sides . 5. The ...
... isosceles triangle with a given base and vertical angle . 3. To trisect a right angle - that is , to divide it into three equal parts . 4. Prove that every point of the bisectrix of an angle is equally distant from the sides . 5. The ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC and BD AC and CB AC is equal ACEH adjacent angle allel alternate angles altitude angle ABC angle ACB angle BAC angle equal base centre chord circumference diagonal diameter draw equal angles equal const equal Prop equal to DF equiangular equilateral triangle exterior angle feet Find the area Geometry given line given point gles greater half the arc Hence the triangles hypothenuse included angle inscribed interior and opposite isosceles triangle Join the points Let ABC lines AC measured by half opposite angle parallelogram perpendicular point F polygon proportional PROPOSITION Prove quadrilateral radius rectangle rectangle contained Required the area rhombus right angles Prop right-angled triangle Scholium secant secant line segment side AC similar six right square tangent TEST EXAMPLES three sides trapezium triangle ABC
Δημοφιλή αποσπάσματα
Σελίδα 48 - 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 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Σελίδα 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Σελίδα 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Σελίδα 64 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.