Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 54.
Σελίδα 16
... Suggestion . Suppose a line OD to revolve about O , as in the proof just given . B * An Arabic numeral alone refers to an article in the same Book ; but in referring to articles in another Book , the number of the Book is also given ...
... Suggestion . Suppose a line OD to revolve about O , as in the proof just given . B * An Arabic numeral alone refers to an article in the same Book ; but in referring to articles in another Book , the number of the Book is also given ...
Σελίδα 20
... Suggestion . Prove EOH FOH . = B F D PROPOSITION VI . - THEOREM . H 20. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other . In the triangles ...
... Suggestion . Prove EOH FOH . = B F D PROPOSITION VI . - THEOREM . H 20. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other . In the triangles ...
Σελίδα 29
... Suggestion . Superpose the second triangle upon the first , making the given equal angles coincide . PROPOSITION XVII . - THEOREM . 33. The perpendicular is the shortest line that can be drawn from a point to a straight line . Let PC be ...
... Suggestion . Superpose the second triangle upon the first , making the given equal angles coincide . PROPOSITION XVII . - THEOREM . 33. The perpendicular is the shortest line that can be drawn from a point to a straight line . Let PC be ...
Σελίδα 35
... Suggestion . Suppose them to meet ; v . Postulate II . 2. Theorem . - Lines parallel to the same line are parallel to each other . 43. Definitions . When two straight lines AB , CD , are cut by a third EF , the eight angles formed at ...
... Suggestion . Suppose them to meet ; v . Postulate II . 2. Theorem . - Lines parallel to the same line are parallel to each other . 43. Definitions . When two straight lines AB , CD , are cut by a third EF , the eight angles formed at ...
Σελίδα 36
... Suggestion . Show that in that case a pair of alternate- interior angles are equal . 46. COROLLARY II . When two straight lines are cut by a third , if the sum of two interior angles on the same side of the secant line is equal to two ...
... Suggestion . Show that in that case a pair of alternate- interior angles are equal . 46. COROLLARY II . When two straight lines are cut by a third , if the sum of two interior angles on the same side of the secant line is equal to two ...
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.