Inscribed angle "V" and whose sides pass through points "A" and "B". Draw line "OA". Angle "BOA" is a central angle; call it "θ". Lines "OV" and "OA" are both radii of the circle, so they have equal lengths. Therefore, triangle "VOA" is isosceles, so angle "BVA" (the inscribed angle) and angle "VAO" are equal; let each of them be denoted as "ψ". Angles "BOA" and "AOV" are supplementary. They add up to 180°, since line "VB" passing through "O" is a straight line. Therefore, angle "AOV" measures 180° − "θ". It is known that the three angles of a triangle add
Many a true word is spoken in jest the editor of the collection Joseph Woodfall Ebsworth: "He goes a wooing, yet the matter's so,"<br> "He cares not much whether he speeds or no;"<br> "'Cause City Wives and Wenches are so common,"<br> "He thinks it hard to find an honest woman."<br> "Be n't angry with this fellow, I protest"<br> That many a true word hath been spoke in jest.<br> "By degrees he layes a wager, money's scant,"<br> "Until five shillings out; then ends his Rant." James Joyce combined this sentiment with the similar adage of "in vino veritas" to coin the phrase "in risu veritas" (in laughter, truth). Many