Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 11
... equal sides . 16. A right - angled triangle is one which has a right angle . The side opposite the right an- gle is ... equal , and its angles right angles . A rectangle is that which has all its angles right angles , but has not all its ...
... equal sides . 16. A right - angled triangle is one which has a right angle . The side opposite the right an- gle is ... equal , and its angles right angles . A rectangle is that which has all its angles right angles , but has not all its ...
Página 12
... equal angles , are call- ed homologous sides or angles . 21. An axiom is a self - evident truth . 22. A theorem is a ... equal to the same thing are equal to each other . 2. If equals are added to equals , the wholes are equal . 3. If ...
... equal angles , are call- ed homologous sides or angles . 21. An axiom is a self - evident truth . 22. A theorem is a ... equal to the same thing are equal to each other . 2. If equals are added to equals , the wholes are equal . 3. If ...
Página 14
... equal to the angle EGH , Take the four straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) . Let the line EF be applied to the line AB , so that the point E may be on A ...
... equal to the angle EGH , Take the four straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) . Let the line EF be applied to the line AB , so that the point E may be on A ...
Página 15
... equal to the sum of the three angles CBE , EBA , ABD ( Axiom 2 ) . Again , the angle DBE is equal to the sum of the two angles DBA , ABE . Add to each of these equals the angle EBC ; then will the sum of the two angles DBE , EBC be ...
... equal to the sum of the three angles CBE , EBA , ABD ( Axiom 2 ) . Again , the angle DBE is equal to the sum of the two angles DBA , ABE . Add to each of these equals the angle EBC ; then will the sum of the two angles DBE , EBC be ...
Página 16
... equal to two right angles ; therefore , the sum of the angles ABC , ABE is equal to the sum of the an- gles ABC , ABD . Take away the common angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD ...
... equal to two right angles ; therefore , the sum of the angles ABC , ABE is equal to the sum of the an- gles ABC , ABD . Take away the common angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 27 - VIf 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...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 63 - 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.
Página 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 17 - 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 will be equal.
Página 148 - I.), that every section of a sphere made by a plane is a circle.