Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 94.
Σελίδα 11
... theorem employed in the demonstration of another theorem . A problem is a question proposed for solu- tion . An axiom is a truth assumed as self - evident . A postu- late ( in geometry ) assumes the possibility of the solution of some ...
... theorem employed in the demonstration of another theorem . A problem is a question proposed for solu- tion . An axiom is a truth assumed as self - evident . A postu- late ( in geometry ) assumes the possibility of the solution of some ...
Σελίδα 16
William Chauvenet. PROPOSITION I. - THEOREM . 10. At a given point in a straight line one perpendicular to the line can be drawn , and but one . Let O be the given point in the line ... THEOREM . 12. All right angles 16 ELEMENTS OF GEOMETRY .
William Chauvenet. PROPOSITION I. - THEOREM . 10. At a given point in a straight line one perpendicular to the line can be drawn , and but one . Let O be the given point in the line ... THEOREM . 12. All right angles 16 ELEMENTS OF GEOMETRY .
Σελίδα 17
... THEOREM . 13. The two adjacent angles which one straight line makes with another are together equal to two right angles . If the two angles are equal , they are right angles by definition ( 4 ) , and no proof is necessary . If they are ...
... THEOREM . 13. The two adjacent angles which one straight line makes with another are together equal to two right angles . If the two angles are equal , they are right angles by definition ( 4 ) , and no proof is necessary . If they are ...
Σελίδα 18
... Theorem . If a line is perpendicular to a second line , then reciprocally the second line is perpendicular to the first . 16. Definition . When the sum of two angles is equal to a right angle , each is called the complement of the other ...
... Theorem . If a line is perpendicular to a second line , then reciprocally the second line is perpendicular to the first . 16. Definition . When the sum of two angles is equal to a right angle , each is called the complement of the other ...
Σελίδα 19
William Chauvenet. PROPOSITION IV . - THEOREM 17. If the sum of two adjacent angles is equal to two right angles , their exterior sides are in the same straight line . Let the sum of the ... THEOREM . 19. If two straight lines BOOK I. 19.
William Chauvenet. PROPOSITION IV . - THEOREM 17. If the sum of two adjacent angles is equal to two right angles , their exterior sides are in the same straight line . Let the sum of the ... THEOREM . 19. If two straight lines BOOK I. 19.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle BAC angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 127 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 196 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 131 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Σελίδα 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Σελίδα 111 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Σελίδα 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 34 - The sum of the three angles of any triangle is equal to two right angles.