Elements of Geometry and Conic SectionsHarper, 1858 - 234 Seiten |
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Seite 11
... equal . A scalene triangle is one which has three un- equal sides . 16. A right - angled triangle is one which has a ... AC , AD , AE are diagonals . D A E F 19. An equilateral polygon is one which has all its sides equal . An ...
... equal . A scalene triangle is one which has three un- equal sides . 16. A right - angled triangle is one which has a ... AC , AD , AE are diagonals . D A E F 19. An equilateral polygon is one which has all its sides equal . An ...
Seite 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 ...
Seite 16
... equal to two right angles ( Prop . II . ) . But , by hypothesis , the angles ABC , ABD are together equal to two ... AC ; then , since ACD is a straight line , the angle FCD is a right angle ( Prop . II . , Cor . 1 ) ; and since ACE is a ...
... equal to two right angles ( Prop . II . ) . But , by hypothesis , the angles ABC , ABD are together equal to two ... AC ; then , since ACD is a straight line , the angle FCD is a right angle ( Prop . II . , Cor . 1 ) ; and since ACE is a ...
Seite 17
... equal to two right angles ( Prop . II . ) ; and the angles AED , DEB , which the straight line DE makes with the ... AC to DF , and also the angle A equal to the angle D ; then will the triangle ABC be equal to the triangle DEF . да B CE ...
... equal to two right angles ( Prop . II . ) ; and the angles AED , DEB , which the straight line DE makes with the ... AC to DF , and also the angle A equal to the angle D ; then will the triangle ABC be equal to the triangle DEF . да B CE ...
Seite 18
... equal to them , viz .: the angle ABC to the angle DEF , and the angle ACB to the an- gle DFE . Therefore , if two ... AC are equal to the two sides DE , DF , each to each , and the angle A to the angle D. Therefore , if two triangles ...
... equal to them , viz .: the angle ABC to the angle DEF , and the angle ACB to the an- gle DFE . Therefore , if two ... AC are equal to the two sides DE , DF , each to each , and the angle A to the angle D. Therefore , if two triangles ...
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Häufige Begriffe und Wortgruppen
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC Loomis major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN prism Professor of Mathematics PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment side AC similar similar triangles slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Beliebte Passagen
Seite 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Seite 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, their third sides will be equal, and their other angles will be equal, each to each.
Seite 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Seite 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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.
Seite 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.