## Elements of Geometry and Trigonometry |

### From inside the book

Page 15

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**draw**the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be a right angle ... Page 18

... Let BAC and EDF be two triangles , having the side AB - DE , AC = DF , and the angle A > D ; then will BC > EF . Make the angle CAGB = D ; take AG = DE , and

... Let BAC and EDF be two triangles , having the side AB - DE , AC = DF , and the angle A > D ; then will BC > EF . Make the angle CAGB = D ; take AG = DE , and

**draw**CG , The F triangle GAC is equal to DEF , since , by 18 GEOMETRY . Page 21

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**draw**CD . Now , in the two triangles BDC , BAC , we have BD - AC , by construction ; the angle B equal to the angle ACB , by hypothesis ; B and the side BC common : therefore , the two triangles , BDC , BAC , have two sides and the ... Page 22

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**draw**two perpendiculars , AB , AC . Produce either of them , as AB , till BF is equal to AB , and De**draw**FC . Then , the two triangles CAB , CBF , will be equal ; for , the angles CBA , and CBF are right angles , the side CB is common ... Page 23

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**draw**FC , FD . First . The triangle BCF , is equal to the triangle BCA , for they have the right angle CBF CBA , the side CB common , and the D 19 B F side BF = BA ; hence the third sides , CF and CA are equal ( Prop . V. Cor . ) . But ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex