Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 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 . F E 19. An equilateral polygon is one which has all its sides equal . An equiangular ...
... 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 . F E 19. An equilateral polygon is one which has all its sides equal . An equiangular ...
Página 14
... A C BE H G F Let the straight line CD be perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD , EGH , FGH , will be a right angle ; and it is to be proved that the angle ACD is equal ... AC , CB , EG ...
... A C BE H G F Let the straight line CD be perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD , EGH , FGH , will be a right angle ; and it is to be proved that the angle ACD is equal ... AC , CB , EG ...
Página 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 ...
Página 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 . B CE F ...
... 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 . B CE F ...
Página 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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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.