Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 páginas |
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Página 11
Elias Loomis. An equilateral triangle is one which has its the sides equal . An isosceles triangle is that which has only two sides equal . A scalenc triangle is one which has three un- equal sides . 16. A right - angled triangle is one ...
Elias Loomis. An equilateral triangle is one which has its the sides equal . An isosceles triangle is that which has only two sides equal . A scalenc triangle is one which has three un- equal sides . 16. A right - angled triangle is one ...
Página 12
... equal angles , are cal 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 cal 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 tc 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 tc 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 tc 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 tc 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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Términos y frases comunes
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Página 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
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 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
Página 32 - 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.
Página 159 - 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.
Página 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Página 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Página 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.