Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Αποτελέσματα 1 - 5 από τα 90.
Σελίδα 3
... equal to the same thing are equal to each other . 2. If equals be added to equals , the sums will be equal . 3. If equals be subtracted from equals , the remainders will be equal . 4. If equals be added to unequals , the sums will be ...
... equal to the same thing are equal to each other . 2. If equals be added to equals , the sums will be equal . 3. If equals be subtracted from equals , the remainders will be equal . 4. If equals be added to unequals , the sums will be ...
Σελίδα 5
... equal to the less . 4. A straight line may be bisected ; that is , divided into two equal parts . II . - AXIOMS . 1. A straight line is the shortest distance between two points . 2. But one straight line can be drawn between two points ...
... equal to the less . 4. A straight line may be bisected ; that is , divided into two equal parts . II . - AXIOMS . 1. A straight line is the shortest distance between two points . 2. But one straight line can be drawn between two points ...
Σελίδα 7
... equal to two right angles . For the two adjacent angles , AOB ′ and B'OB , are together equal to the extended angle AOB = 2R for every position of the line OB ' . COR . 1. If one of two adjacent angles is a right angle , the other is ...
... equal to two right angles . For the two adjacent angles , AOB ′ and B'OB , are together equal to the extended angle AOB = 2R for every position of the line OB ' . COR . 1. If one of two adjacent angles is a right angle , the other is ...
Σελίδα 8
... equal to two right angles . Hence all the angles formed about a point are together equal to four right angles . D V. DEF . 1. Two angles are said to be complements of each other when their sum is equal to one right angle ; as , ZAOC and ...
... equal to two right angles . Hence all the angles formed about a point are together equal to four right angles . D V. DEF . 1. Two angles are said to be complements of each other when their sum is equal to one right angle ; as , ZAOC and ...
Σελίδα 10
... equal . 2. The alternate angles are equal . 3. The sum of two opposite angles is equal to two right angles . HYPOTH . AB || CD . E TO BE PROVED . 1 . 6 = 4 2 = 8 , 1 \ 2 .. A B 5 6 7 8 с 3 4 F D PROOF . AS AB and CD have the same ...
... equal . 2. The alternate angles are equal . 3. The sum of two opposite angles is equal to two right angles . HYPOTH . AB || CD . E TO BE PROVED . 1 . 6 = 4 2 = 8 , 1 \ 2 .. A B 5 6 7 8 с 3 4 F D PROOF . AS AB and CD have the same ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angles are equal anharmonic ratio bisect called centre chord circle circumference circumscribed polygon cone congruent construct cylinder diagonals diameter dihedrals distance divided draw equal altitudes equal bases equally distant equations equiangular EXERCISE exterior angle face angles formed frustum Geometry harmonically hence homologous HYPOTH infinite number inscribed angle intersection lateral edges line joining lines drawn locus middle point number of sides Olney's opposite sides P₁ parallel lines parallelogram parallelopiped pass perpendicular plane angle point of contact polar pole polyhedral polyhedron prism Problem PROOF proportional PROVED pyramid quadrilateral radical axis radii radius rectangle regular polygon right angles SCHOLIUM segments solid angle sphere spherical excess spherical polygon spherical triangle square straight line symmetrical tangent Theorem triangle ABC trihedrals vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 19 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 34 - 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.
Σελίδα 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 170 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.
Σελίδα 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.