## An Elementary Geometry |

### From inside the book

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Page 11

... angle , or one obtuse angle . 37. Cor . 4 . In a right triangle the sum of the two acute angles is equal to a right ...

... angle , or one obtuse angle . 37. Cor . 4 . In a right triangle the sum of the two acute angles is equal to a right ...

**included angle**of the one respectively equal to two sides and the**included angle**of the other , the two triangles are ... Page 12

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**included**side of the one respectively equal to two**angles**and the**included**side of the other , the two triangles are equal in all respects . In the triangles ABC and DEF , let the**angle**B E A equal the**angle**D , the**angle**C equal the**angle**... Page 14

... angle ABC > C. For if the angle ABC is not greater than the angle C , it must be either equal to it or less . It ...

... angle ABC > C. For if the angle ABC is not greater than the angle C , it must be either equal to it or less . It ...

**included angle**of the one equal to two sides and the**included angle**of the other , are equal ( 40 ) . = 49. Scholium ... Page 16

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**included angle**B ADE respectively equal to the two E A sides AD , DC , and the**included angle**A D C , are equal ( 40 ) , and AE is equal to A C. 3d . If D BDE ; then , as A D E is a right angle , A E D is acute ; hence A E B is obtuse ... Page 18

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**angles**are equal , viz .: A B DC and BC = AD ; also the**angle**AC , and the**angle**ABC ABD + DBC = BDC + BDA = ADC 63. Cor . 1. The diagonal divides a parallelogram into two equal triangles . 64. Cor . 2. Parallels**included**between ...### Other editions - View all

### Common terms and phrases

A B C A B D ABCD adjacent adjacent angles altitude angle ABC apothem base and altitude centre chord circ circumference cone construct the triangle convex surface Corollary cylinder diagonals diameter distance divided dodecagon equal altitudes equally distant equilateral feet frustum given angle given circle given line given point given side half the arc hexagon homologous sides hypothenuse included angle infinite number inscribed internal angles intersection isosceles triangle Let ABCDEF line joining lines A B measured by half mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane parallel quadrilateral radii radius ratio rectangle regular polygon respectively equal rhombus right angles right prism right pyramid right triangle Scholium secant segment similar triangles slant height sphere tangent THEOREM VII trapezoid triangle ABC triangles are equal vertex