## New Plane and Solid Geometry |

### From inside the book

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**oblique**an- gles ; and intersecting**lines**which are not per- pendicular , are said to be**oblique**to each other . We call two angles vertical when the sides of one are the prolongations of the sides of the other ; as AEC and BED . 38. If ... Page 26

... lines whose lengths are 2 , 3 , 4 , 5 , 6 , 7 inches , respectively . How many triangles can you form and what kind of triangles are they ? PROP . XII . THEOREM 64. If

... lines whose lengths are 2 , 3 , 4 , 5 , 6 , 7 inches , respectively . How many triangles can you form and what kind of triangles are they ? PROP . XII . THEOREM 64. If

**oblique lines**be drawn from a point to a straight line , I. Two ... Page 27

... line AB ; and CE ( a ) and CF ( b )

... line AB ; and CE ( a ) and CF ( b )

**oblique lines**from C to AB , cutting off unequal distances from the foot of CD ; a being the more remote . To Prove a > b . = Proof . 1. Produce CD to C " , making CD CD , and draw lines C'E ( c ) and ... Page 28

Webster Wells. PROP . XIII . THEOREM 65. If

Webster Wells. PROP . XIII . THEOREM 65. If

**oblique lines**be drawn from a point to a straight line , I. Two equal**oblique lines**cut off equal distances from the foot of the perpendicular from the point to the line . II . Of two unequal ... Page 29

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**oblique lines**be drawn from a point to a str . line , two**oblique lines**cutting off equal distances from the foot of the from the point to the line are equal . ] ( § 64 ) 5. This is contrary to the hypothesis that a is > b ; then DE ...### Other editions - View all

### Common terms and phrases

ABC and A'B'C adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisector bisects centre chord circle circumference circumscribed coincide construct Converse of Prop diagonals diameter diedral angle distance Draw line equal parts occur equal respectively equally distant equilateral triangle exterior angle faces frustum Given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle LAOB lateral area lateral edges line drawn lines be drawn measured by arc middle point number of sides oblique lines opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism Proof proportional Prove pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle secant segments slant height spherical polygon spherical triangle square straight line surface tangent tetraedron THEOREM trapezoid triedral vertex vertices volume