Elementary Geometry: With Applications in MensurationA. S. Barnes & Company, 1850 - 216 Seiten |
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Seite 20
... consequently the side AB will fall on the side DE ( Def . 3 ) . Hence , the two triangles will fill the same space , and consequently are equal ( Ax . 11. ) . C F Ᏼ Ꭰ E Scholium . Two triangles are said to be equal , when being ...
... consequently the side AB will fall on the side DE ( Def . 3 ) . Hence , the two triangles will fill the same space , and consequently are equal ( Ax . 11. ) . C F Ᏼ Ꭰ E Scholium . Two triangles are said to be equal , when being ...
Seite 21
... consequently , all the parts of the triangle ABC will coincide with the parts of the triangle DEF , and therefore , the two triangles are equal . THEOREM VI . In an isosceles triangle the angles opposite the equal sides are equal to ...
... consequently , all the parts of the triangle ABC will coincide with the parts of the triangle DEF , and therefore , the two triangles are equal . THEOREM VI . In an isosceles triangle the angles opposite the equal sides are equal to ...
Seite 24
... consequently , the angle CAB is equal to BAD , and the angle CBA to the angle ABD . Sch . The angles of the two triangles which are equal to each other , are those which lie opposite the equal sides . THEOREM IX . If one side of a ...
... consequently , the angle CAB is equal to BAD , and the angle CBA to the angle ABD . Sch . The angles of the two triangles which are equal to each other , are those which lie opposite the equal sides . THEOREM IX . If one side of a ...
Seite 25
... consequently less than AB . Secondly . Let us suppose the side AB to be greater than AC ; then will the angle C be greater than the angle B. For , if the angle C were equal to B , the triangle CAB would be isosceles , and the side AC ...
... consequently less than AB . Secondly . Let us suppose the side AB to be greater than AC ; then will the angle C be greater than the angle B. For , if the angle C were equal to B , the triangle CAB would be isosceles , and the side AC ...
Seite 29
... consequently , the sum of the two angles , A and C , is equal to the outward angle CBD ( Ax . 1 ) . THEOREM XVII . In any triangle the sum of the three angles is equal to two right angles . Let ABC be any triangle : then will the sum of ...
... consequently , the sum of the two angles , A and C , is equal to the outward angle CBD ( Ax . 1 ) . THEOREM XVII . In any triangle the sum of the three angles is equal to two right angles . Let ABC be any triangle : then will the sum of ...
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Häufige Begriffe und Wortgruppen
12 feet ABCD adjacent angles allel altitude angles equal axis base multiplied bisect breadth called centre chains chord circle whose diameter circular sector circumference common cone consequently convex surface cube cylinder decimal dicular divide dodecagon draw entire surface equal altitudes equal Bk equal to half equivalent figure find the area frustum GEOMETRY half the arc half the product hence heptagon homologous sides hypothenuse included angle inscribed intersection length Let ABCD lower base measured by half Mensuration of Surfaces nonagon number of sides opposite angles outward angle parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane prism PROBLEM quadrilateral radii radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment slant height sphere square feet squares described straight line tangent THEOREM three sides trapezoid triangle ABC upper base viii
Beliebte Passagen
Seite 48 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 10 - 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.
Seite 58 - BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D.
Seite 12 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Seite 118 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Seite 112 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 162 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Seite 149 - This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron.
Seite 119 - If a cone be cut by a plane parallel to the base, the section will be a circle.